Consider, `L_(1) : 2x + 3y + p – 3 = 0 , L_(2) : 2x + 3y + p + 3 = 0`, where p is a real number, and `C : x^(2)+y^(2)+6x–10y+30=0`
Statement-I : If line `L_(1)` is a chord of circle C, then line `L_(2)` is not always a diameter of circle C.
and
Statement-II : If line `L_(1)` is a diameter of circle C, then line `L_(2)` is not a chord of circle C.

Options

A. Statement-I is true, statement-II is true, statement-II is correct explanation for statement-I
B. Statement-I is true, statement-II is true, statement-II is NOT correct explanation for statement-I
C. Statement-I is true, Statement-II is False
D. Statement-I is False, Statement-II is True

Answer

C