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

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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