Circle And System Of Circles Question 42

Question: The slope of the tangent at the point $ (h,h) $ of the circle $ x^{2}+y^{2}=a^{2} $ is

Options:

A) -1

B) 1

C) 0

D) Depends on h

Show Answer

Answer:

Correct Answer: A

Solution:

The tangent drawn at point $ P(x,\ y) $ on the circle $ x^{2}+y^{2}=a^{2} $ is perpendicular to the line that joins the origin with point P. So required curve will be circle.