CAT Exam

PQRS is a square, while diagonals PR and QS coincide with the x and y-axis respectively. Side PQ lies on the line x + y + 3 = 0.
Side RS lies on which of the following lines?
(1) x + y + 3 = 0 (2) x – y + 3 = 0 (3) x – y – 3 = 0 (4) None of these

Read Solution (Total 1)

ans (1)
line PQ lies in 1st quad and passes through points (3,0) & (0,3)
so line RS will lie in 3rd quad,parellel to PR & passes through (-3,0) & (0,-3)
eqn of RS is
x/(-3)+y/(-3)=1
or x+y+3=0
10 years agoHelpfull: Yes(0) No(0)

CAT Other Question

If a and b are positive integers such that 4a + 5b - 100 = 0, then find the total number of solutions.

Option
(1) 3
(2) 4
(3) 5
(4) 6 The local park at Raghu's house is in the shape of a triangle. There are 4 posts along the longest side of the park and 2 and 3 posts along the other two sides respectively. If none of these posts is at any of the corners of the park, find the number of triangles that are possible with vertices at these posts.

Option
(1) 84
(2) 79
(3) 72
(4) None of these