Consider the curves `C_1 : y^2 and C_2 : x^2 +y^2-6x+1=0`
Assertion (A) The common tangents to the curves `C_1 and C_2` are othogonal.
Reason ( R ) x-y+1=0 and x+y+1=0 are the common tangents to the curves `C_1 and C_2` The correct answer is

Options

A. (A) is true, (R ) is true and (R ) is the correct explanation of (A)
B. (A) is true , (R ) is true but (R ) is not a correct explanation of (A)
C. (A) is true but ( R) is false
D. (A) is false but (R ) is true.

Answer

A