# Check if a point lies inside a rectangle | Set-2

• Last Updated : 18 Aug, 2022

Given coordinates of bottom-left and top-right corners of a rectangle. Check if a point (x, y) lies inside this rectangle or not.

Examples:

Input: bottom-left: (0, 0), top-right: (10, 8), point: (1, 5)
Output: Yes

Input: bottom-left: (-1, 4), top-right:(2, 3), point:(0, 4)
Output: No

This problem is already discussed in a previous post. In this post, we have discussed a new approach.

Approach: If we observe carefully, It will be clear that for a point to be lie inside the rectangle, it should be lie inside the x-coordinate (x1, x2) of the rectangle as well as it should also lie inside the y-coordinate (y1, y2) of the rectangle.

Algorithm:

• Check if the x-coordinate of the given point (x, y) is lie inside the x-coordinate (x1, x2) of the rectangle, i.e, x > x1 and x < x2
• Check if the y-coordinate of the given point (x, y) is lie inside the y-coordinate (y1, y2) of the rectangle, i.e, y > y1 and y < y2
• If both the above condition satisfy then,
• The given point completely lie inside the rectangle.
• Otherwise, not.

Below is the implementation of the above approach:

## C++

 `// CPP program to Check if a``// point lies on or inside a rectangle | Set-2``#include ``using` `namespace` `std;` `// function to find if given point``// lies inside a given rectangle or not.``bool` `FindPoint(``int` `x1, ``int` `y1, ``int` `x2,``               ``int` `y2, ``int` `x, ``int` `y)``{``    ``if` `(x > x1 and x < x2 and y > y1 and y < y2)``        ``return` `true``;` `    ``return` `false``;``}` `// Driver code``int` `main()``{``    ``// bottom-left and top-right``    ``// corners of rectangle``    ``int` `x1 = 0, y1 = 0, x2 = 10, y2 = 8;` `    ``// given point``    ``int` `x = 1, y = 5;` `    ``// function call``    ``if` `(FindPoint(x1, y1, x2, y2, x, y))``        ``cout << ``"Yes"``;``    ``else``        ``cout << ``"No"``;` `    ``return` `0;``}`

## C

 `// C program to Check if a``// point lies on or inside a rectangle | Set-2``#include ``#include ` `// function to find if given point``// lies inside a given rectangle or not.``bool` `FindPoint(``int` `x1, ``int` `y1, ``int` `x2, ``int` `y2, ``int` `x, ``int` `y)``{``    ``if` `(x > x1 && x < x2 && y > y1 && y < y2)``        ``return` `true``;` `    ``return` `false``;``}` `// Driver code``int` `main()``{``    ``// bottom-left and top-right``    ``// corners of rectangle``    ``int` `x1 = 0, y1 = 0, x2 = 10, y2 = 8;` `    ``// given point``    ``int` `x = 1, y = 5;` `    ``// function call``    ``if` `(FindPoint(x1, y1, x2, y2, x, y))``        ``printf``(``"Yes"``);``    ``else``        ``printf``(``"No"``);` `    ``return` `0;``}` `// This code is contributed by kothavvsaakash.`

## Java

 `// Java program to Check if``// a point lies on or inside``// a rectangle | Set-2``class` `GFG``{` `// function to find if given point``// lies inside a given rectangle or not.``static` `boolean` `FindPoint(``int` `x1, ``int` `y1, ``int` `x2,``                         ``int` `y2, ``int` `x, ``int` `y)``{``if` `(x > x1 && x < x2 &&``    ``y > y1 && y < y2)``    ``return` `true``;` `return` `false``;``}` `// Driver code``public` `static` `void` `main(String[] args)``{``    ` `    ``// bottom-left and top-right``    ``// corners of rectangle``    ``int` `x1 = ``0``, y1 = ``0``,``        ``x2 = ``10``, y2 = ``8``;` `    ``// given point``    ``int` `x = ``1``, y = ``5``;` `    ``// function call``    ``if` `(FindPoint(x1, y1, x2, y2, x, y))``        ``System.out.println(``"Yes"``);``    ``else``        ``System.out.println(``"No"``);``}``}` `// This code is contributed``// by ChitraNayal`

## Python3

 `# Python3 program to Check``# if a point lies on or``# inside a rectangle | Set-2` `# function to find if``# given point lies inside``# a given rectangle or not.``def` `FindPoint(x1, y1, x2,``              ``y2, x, y) :``    ``if` `(x > x1 ``and` `x < x2 ``and``        ``y > y1 ``and` `y < y2) :``        ``return` `True``    ``else` `:``        ``return` `False` `# Driver code``if` `__name__ ``=``=` `"__main__"` `:` `    ``# bottom-left and top-right``    ``# corners of rectangle.``    ``# use multiple assignment``    ``x1 , y1 , x2 , y2 ``=` `0``, ``0``, ``10``, ``8` `    ``# given point``    ``x, y ``=` `1``, ``5` `    ``# function call``    ``if` `FindPoint(x1, y1, x2,``                 ``y2, x, y) :``        ``print``(``"Yes"``)``    ``else` `:``        ``print``(``"No"``)` `# This code is contributed``# by Ankit Rai`

## C#

 `// C# program to Check if a``// point lies on or inside``// a rectangle | Set-2``using` `System;` `class` `GFG``{` `// function to find if given``// point lies inside a given``// rectangle or not.``static` `bool` `FindPoint(``int` `x1, ``int` `y1, ``int` `x2,``                      ``int` `y2, ``int` `x, ``int` `y)``{``if` `(x > x1 && x < x2 &&``    ``y > y1 && y < y2)``    ``return` `true``;` `return` `false``;``}` `// Driver code``public` `static` `void` `Main()``{``    ` `    ``// bottom-left and top-right``    ``// corners of rectangle``    ``int` `x1 = 0, y1 = 0,``        ``x2 = 10, y2 = 8;` `    ``// given point``    ``int` `x = 1, y = 5;` `    ``// function call``    ``if` `(FindPoint(x1, y1, x2, y2, x, y))``        ``Console.Write(``"Yes"``);``    ``else``        ``Console.Write(``"No"``);``}``}` `// This code is contributed``// by ChitraNayal`

## PHP

 ` ``\$x1` `and` `\$x` `< ``\$x2` `and``        ``\$y` `> ``\$y1` `and` `\$y` `< ``\$y2``)``        ``return` `true;` `    ``return` `false;``}` `// Driver code` `// bottom-left and top-right``// corners of rectangle``\$x1` `= 0; ``\$y1` `= 0;``\$x2` `= 10; ``\$y2` `= 8;` `// given point``\$x` `= 1; ``\$y` `= 5;` `// function call``if` `(FindPoint(``\$x1``, ``\$y1``, ``\$x2``,``              ``\$y2``, ``\$x``, ``\$y``))``    ``echo` `"Yes"``;``else``    ``echo` `"No"``;` `// This code is contributed``// by Akanksha Rai(Abby_akku)``?>`

## Javascript

 ``

Output

`Yes`

Time Complexity: O(1)
Auxiliary Space: O(1)

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