Pair Of Straight Lines Question 59

Question: If the equation $ 12x^{2}-10xy+2y^{2}+11x-5y+k=0 $ represents two straight lines, then the value of k is

[MP PET 2003]

Options:

A) 1

B) 2

C) 0

D) 3

Show Answer

Answer:

Correct Answer: B

Solution:

Condition for pair of lines, $ abc+2fgh-af^{2}-bg^{2}-ch^{2}=0 $ Here, a = 12, h = -5, b = 2, g = 11/2, f = -5/2, c = k. On solving, $ k=2 $ .