Home
Class 12
MATHS
IF one of the vertices of a square is (...

IF one of the vertices of a square is (3,2) and one of the diagonalls is along the line 3x+4y+8=0, then find the centre of the square and other vertices.

Text Solution

AI Generated Solution

To solve the problem, we need to find the center and the other vertices of a square given one vertex and the equation of one diagonal. Let's break this down step by step. ### Step 1: Identify the given information We are given: - One vertex of the square, \( A(3, 2) \) - The equation of one diagonal, \( 3x + 4y + 8 = 0 \) ### Step 2: Find the slope of the given diagonal ...
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise EXAMPLE|12 Videos

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise CONCEPT APPLICATION EXERCISE 2.1|23 Videos

  • STRAIGHT LINE

    CENGAGE ENGLISH|Exercise Multiple Correct Answers Type|8 Videos

  • THEORY OF EQUATIONS

    CENGAGE ENGLISH|Exercise JEE ADVANCED (Numerical Value Type )|1 Videos

Similar Questions

Explore conceptually related problems

If a vertex of a square is at the point (1,-1) and one of its sides lie along the line 3x-4y-17=0 , then the area of the square is

Each side of a square is of length 6 units and the centre of the square Is ( - 1, 2). One of its diagonals is parallel to x+y= 0 . Find the co-ordinates of the vertices of the square.

If one of the sides of a square is 3x-4y-12=0 and the center is (0,0) , then find the equations of the diagonals of the square.

If one of the sides of a square is 3x-4y-12=0 and the center is (0,0) , then find the equations of the diagonals of the square.

Each side of a square has length 4 units and its center is at (3,4). If one of the diagonals is parallel to the line y=x , then anser the following questions. The radius of the circle inscribed in the triangle formed by any three vertices is

If two opposite vertices of a square are (1,2) and (5,8) find the coordinates of its other two vertices and the equations of its sides.

The center of a square is at the origin and its one vertex is A(2,1) . Find the coordinates of the other vertices of the square.

If one vertex of a square whose diagonals intersect at the origin is 3(costheta+isintheta) , then find the two adjacent vertices.

If two opposite vertices of square are (1,2) and (5,8), find the coordinates of its other two vertices and the equations of its sides.

The center of a square is at the origin and its one vertex is A(3,2)dot Find the coordinates of the other vertices of the square.