Let the lines $(y - 2) = m_{1} (x - 5)$ and $(y + 4) = m_{2} (x - 3)$ intersect at right angles at $P$ (where $m_{1} a n d m_{2}$ are parameters). If the locus of $P$ is $x^{2} + y^{2} g x + f y + 7 = 0$ , then the value of $∣ f + g ∣$ is__________

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Amelia Discussed

Let the lines

(y - 2) = m_{1} (x - 5)

and

(y + 4) = m_{2} (x - 3)

intersect at right angles at

P

(where

m_{1} a n d m_{2}

are parameters). If the locus of

P

x^{2} + y^{2} g x + f y + 7 = 0

, then the value of

∣ f + g ∣

is__________

10 mins ago

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