Pair of lines through (1, 1) and making equal angle with 3x…

Maths Straight Line Angle Between Two Straight Lines, Bisector of Angle Between Two Lines, Equation of Bisectors Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 14, 2026

Pair of lines through (1, 1) and making equal angle with 3x – 4y = 1 and 11x + 4y = 1 intersect x-axis at P1 and P2, then P1, P2 may be-

and

and (9, 0)

and

(8, 0) and

Text Solution

Verified by Experts

The correct answer is:

Equation of bisectors = ±

So bisectors have slope 8, –

Equation of required lines y – 1 = 8(x – 1) and y – 1 = –

(x – 1)

which intersect x-axis at and (9, 0).

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