Question

The value of $\lambda$ for which the lines 3x – 4y – 13 = 0, 8x – 11y – 33 = 0 and 2x – 3y + $\lambda =0$ are concurrent is

• A. -6
• B. -7
• C. +8
• D. +9

Answer 1

The correct option is B

-7

Point of intersection of 3x – 4y = 13 and 8x – 11y = 33 is (11, 5)

This point must lie on $2x-3y+\lambda =0$

So, $\lambda =-7$