A) \( \Large \frac{11}{8} \) |
B) -1 |
C) \( \Large \frac{-5}{4} \) |
D) \( \Large \frac{5}{2} \) |
C) \( \Large \frac{-5}{4} \) |
Equations of circles are
\( \Large x^{2}+y^{2}+2nx+6y+1=0 \)
and \( \Large x^{2}+y^{2}+4x+2y=0 \)
Since, the circles cut orthogonally
\( \Large \therefore\ 2gg+2ff = c+c \)
=> \( \Large 2n \times 2+6 \times 1 = 1+0 \)
=> \( \Large 4h+6 = 1 \)
=> \( \Large n = \frac{-5}{4} \)