Pair Of Straight Lines Question 85
Question: The equation $ x^{2}+k_1y^{2}+k_2xy=0 $ represents a pair of perpendicular lines, if
Options:
A) $ k_1=-1 $
B) $ k_1=2k_2 $
C) $ 2k_1=k_2 $
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
We know that, a pair of straight lines represent perpendicular lines, if the sum of coefficient of $x^2$ and coefficient of $y^2$ is equal to zero.
The equation $ x^2 + k_1y^2+k_2xy$ of pair of perpendicular liines is given.
So,
$1+k_1$=0
$\Rightarrow k_1=-1$
Therefore, the value of $k_1$ is -1 .
BETA
