Pair Of Straight Lines Question 35
Question: The product of perpendiculars drawn from the origin to the lines represented by the equation $ ax^{2}+2hxy+by^{2}+2gx+2fy+c=0 $ , will be
[Bihar CEE 1994]
Options:
A) $ \frac{ab}{\sqrt{a^{2}-b^{2}+4h^{2}}} $
B) $ \frac{bc}{\sqrt{a^{2}-b^{2}+4h^{2}}} $
C) $ \frac{ca}{\sqrt{(a^{2}+b^{2})+4h^{2}}} $
D) $ \frac{c}{\sqrt{{{(a-b)}^{2}}+4h^{2}}} $
Show Answer
Answer:
Correct Answer: D
Solution:
The product of perpendiculars $ =\frac{c}{\sqrt{{{(a-b)}^{2}}+4h^{2}}} $ .