Circle And System Of Circles Question 99

Question: If the equation $ \frac{K{{(x+1)}^{2}}}{3}+\frac{{{(y+2)}^{2}}}{4}=1 $ represents a circle, then $ K= $

[MP PET 1994]

Options:

A) 3/4

B) 1

C) 4/3

D) 12

Show Answer

Answer:

Correct Answer: A

Solution:

It represents a circle, if $ a=b\Rightarrow \frac{k}{3}=\frac{1}{4}\Rightarrow k=\frac{3}{4} $ .