The pairs of straight lines ax^2+2hxy-ay^2=0 and hx^2-2axy-hy^2=0 are such that

JEE Main Mathematics question

The pairs of straight lines and are such that

(A)One pair bisects the angle between the other pair
(B)The lines of one pair are equally inclined to the lines of the other pair
(C)The lines of each pair are perpendicular to other pair
(D)All of theseCorrect

Answer: (D)

Solution

Each pair has the sum of the coefficients of and equal to zero ( and ), so the lines of each pair are perpendicular to each other. The bisectors of the first pair are , i.e.

See the full step-by-step solution

Create a free account to read the complete working, and practise questions like this in a timed test.

Create a free account

Question ID VK-024630