Curves \( a x^{2}+2 h x y+b y^{2}-2 g x-2 f y+c=0 \) and \( a^{\prime} x^{2}-2 h x y+ \) \( \lef... VIDEO
Curves \( a x^{2}+2 h x y+b y^{2}-2 g x-2 f y+c=0 \) and \( a^{\prime} x^{2}-2 h x y+ \) \( \left(a^{\prime}+a-b\right) y^{2}-2 g^{\prime} x-2 f^{\prime} y+c=0 \) intersect at four concylic points \( A, B, C \) and \( D \). If \( P \) is the point \( \left(\frac{g^{\prime}+g}{a^{\prime}+a}, \frac{f^{\prime}+f}{a^{\prime}+a}\right) \), thevalue of \( \frac{P A^{2}+P B^{2}+P C^{2}}{P D^{2}} \) is
(a) 1
(b) 2
(c) 3
(d) 4
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\[
x^{2}+y^{2}+2 a x+2 b y+c=0
\]
and \( x^{2}+y^{2}+2 b x+2 a y+c=0 \)
where \( ... 2023-07-03 The value of \( c \) for which the set, \( \left\{(x, y) \mid x^{2}+y^{2}+2 x \leq 1\right\} \...