Pair Of Straight Lines Question 39

Question: If the point (2,-3) lies on $ kx^{2}-3y^{2}+2x+y-2=0 $ , then k is equal to

Options:

A) $ \frac{1}{7} $

B) 16

C) 7

D) 12

Show Answer

Answer:

Correct Answer: C

Solution:

Point $ (2,-3) $ lies on the line $ kx^{2}-3y^{2}+2x+y-2=0 $

Therefore $ {{(2)}^{2}}k-3{{(-3)}^{2}}+2.2-3-2=0 $

$ 4k-28=0\Rightarrow k=7 $ .