Circle And System Of Circles Question 123
Question: If the equation $ px^{2}+(2-q)xy+3y^{2} $ $ -6qx+30y+6q=0 $ represents a circle, then the values of p and q are
Options:
A) 3, 1
B) 2, 2
C) 3, 2
D) 3, 4
Show Answer
Answer:
Correct Answer: C
Solution:
In the equation of circle, there is no term containing xy and coefficient of $ x^{2} $ and $ y^{2} $ are equal. Therefore $ 2-q=0\Rightarrow q=2 $ and $ p=3 $ .
BETA
