The points (1, 3).and (5,1) are two-opposite vertices of a rectangle. The other two vertices lie on the line y = 2x + c. Find c and theremaining vertices

The points (1,3) and (5,1) are two oppsite vertices of a rectangle. The other two vertices lie on the line y=2x+c , find c and the coordinates of the remains vertices.

If (0,-1) and (0,3) are two opposite vertices of a square, then the other two vertices are-

The coordinates of two opposite vertices of a rectangle are (1,3) and (5,1) . If other two vertices are on the line y=2x-lambda then the value of lambda will be -

(2,1) and (0,0) are the two adjcent vertices of a square. Then then perimeter of the square is

A rectangle has two opposite vertices at the points (1, 2) and (5,5). If the other vertices lie on the line x=3 , find the other vertices of the rectangle.

Prove that the points (2,-2) ,(8,4), (5,7) and (-1,1) are the vertices of a rectangle , find the area of the rectangle.

Two vertices of a triangle are (1, 3) and (4, 7). The orthocentre lies on the line x + y = 3 . The locus of the third vertex is

Prove that the points P(-1,-2) Q (7,4) R (4,8) and S(-4,2) are the vertices of a rectangle.

If A (-1, 3), B (1, -1) and C (5, 1) are the vertices of a triangle ABC, find the length of the median through A.

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.