P_hw3 (1).ipynb

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    "colab": {
      "name": "P_hw3.ipynb",
      "provenance": [],
      "collapsed_sections": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "pfwpZGmJFhVu"
      },
      "source": [
        "ELLIPSE PROBLEM\n"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "OPDDs5ubFnKP"
      },
      "source": [
        "import random\n",
        "xlst = []\n",
        "ylst = []\n",
        "for i in range(0,10):\n",
        "  x = random.randint(0,20)\n",
        "  y = random.randint(0,20)\n",
        "  xlst.append(x)\n",
        "  ylst.append(y)"
      ],
      "execution_count": 2,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "_cy0Lk_9FpcP"
      },
      "source": [
        "def checkrange(a,b):\n",
        "  for i in range(10):\n",
        "    x,y = xlst[i], ylst[i]\n",
        "    s = (x**2)/(a**2)+(y**2)/(b**2)-1\n",
        "    if(s>0):\n",
        "      print(\"It is lying outside the ellipse\")\n",
        "    if(s==0):\n",
        "      print(\"It is lying on the ellipse\")\n",
        "    if(s<0):\n",
        "      print(\"It is lying inside the ellipse\")"
      ],
      "execution_count": 3,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "7JjNQO0OG-CX",
        "outputId": "26a118bb-7284-4ec7-a9c8-672ebc21dbb4"
      },
      "source": [
        "a=int(input(\"Enter half major axis\"))\n",
        "b=int(input(\"Enter half minor axis\"))\n",
        "r=2\n",
        "i=0\n",
        "while(i<20):\n",
        "  checkrange((r**i)*a,(r**i)*b)\n",
        "  print(\"_______________________\")\n",
        "  i+=1\n"
      ],
      "execution_count": 5,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Enter half major axis3\n",
            "Enter half minor axis4\n",
            "It is lying outside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying outside the ellipse\n",
            "It is lying outside the ellipse\n",
            "It is lying outside the ellipse\n",
            "It is lying outside the ellipse\n",
            "It is lying outside the ellipse\n",
            "It is lying outside the ellipse\n",
            "It is lying outside the ellipse\n",
            "It is lying outside the ellipse\n",
            "_______________________\n",
            "It is lying outside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying outside the ellipse\n",
            "It is lying outside the ellipse\n",
            "It is lying outside the ellipse\n",
            "It is lying outside the ellipse\n",
            "It is lying outside the ellipse\n",
            "It is lying outside the ellipse\n",
            "It is lying outside the ellipse\n",
            "It is lying outside the ellipse\n",
            "_______________________\n",
            "It is lying outside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying outside the ellipse\n",
            "It is lying outside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying outside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying outside the ellipse\n",
            "It is lying inside the ellipse\n",
            "_______________________\n",
            "It is lying outside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "_______________________\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "_______________________\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "_______________________\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "_______________________\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "_______________________\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "_______________________\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "_______________________\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "_______________________\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "_______________________\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "_______________________\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "_______________________\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "_______________________\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "_______________________\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "_______________________\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "_______________________\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "_______________________\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "It is lying inside the ellipse\n",
            "_______________________\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "PC27495BH9Ar"
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "wLumdx0z2H97"
      },
      "source": [
        "MIDPONT FORMULA"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "plL2w8f-2MPe",
        "outputId": "e4baba96-126a-4e10-c346-ec84b1a8895d"
      },
      "source": [
        "a=int(input(\"Enter 1 for external division and 2 for internal division\"))\n",
        "m=int(input(\"Enter first number for ratio\"))\n",
        "n=int(input(\"Enter second number for ratio\"))\n",
        "#x1, y1 = int(input(\"Enter x1,y1: \").split())\n",
        "#x2, y2 = int(input(\"Enter x2,y2: \").split())\n",
        "x1=int(input(\"Enter x1 : \"))\n",
        "y1=int(input(\"Enter y1 : \"))\n",
        "x2=int(input(\"Enter x2 : \"))\n",
        "y2=int(input(\"Enter y2 : \"))\n",
        "if(a==1):\n",
        "  x=(m*x2-n*x1)/(m-n)\n",
        "  y=(m*y2-n*y1)/(m-n)\n",
        "  print(x)\n",
        "  print(y)\n",
        "elif(a==2):\n",
        "  x=(m*x2+n*x1)/(m+n)\n",
        "  y=(m*y2+n*y1)/(m+n)\n",
        "  print(x)\n",
        "  print(y)\n",
        "else:\n",
        "  print(\"Invalid input\")"
      ],
      "execution_count": 7,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Enter 1 for external division and 2 for internal division2\n",
            "Enter first number for ratio2\n",
            "Enter second number for ratio3\n",
            "Enter x1 : 2\n",
            "Enter y1 : 4\n",
            "Enter x2 : 4\n",
            "Enter y2 : 6\n",
            "2.8\n",
            "4.8\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "bTITCy3f40gL"
      },
      "source": [
        "6"
      ],
      "execution_count": null,
      "outputs": []
    }
  ]
}