Circle And System Of Circles Question 44
Question: The gradient of the normal at the point (-2, -3) on the circle $ x^{2}+y^{2}+2x+4y+3=0 $ is
Options:
A) $ \frac{5\sqrt{5}}{2} $
B) $ 5\sqrt{2} $
C) $ \frac{5\sqrt{5}}{4} $
D) $ \frac{5\sqrt{10}}{2} $
Show Answer
Answer:
Correct Answer: D
Solution:
According to equation, $ \frac{4(0)+3(0)+\lambda }{\sqrt{4^{2}+3^{2}}}=\sqrt{\frac{5}{2}}\Rightarrow \lambda =\frac{5\sqrt{5}}{\sqrt{2}}=\frac{5\sqrt{10}}{2} $ .
BETA
