A variable straight line is ...

Yash: Save Tigers..!!

A variable st. line is drawn thru the point A(10,-8) to intersect the curve x²-xy+y²+4x-5y-2=0 at the points B and C. A point P is on the chord BC such that AB, AP,AC are in HP., then P moves on

a) a line

b) a circle

C) a parabola

d) an ellipse

Yash: Save Tigers..!!

Sagar Saxena

hello dear

let::

AB = r₁

AC = r₂

B = ( 10 + r₁cos @ , -8 + r₁ sin @)

C = ( 10 + r₂cos @ , -8 + r₂ sin @)

B and C must satisfies the given curve,put is on the curve

2 / AP = 1 / AB + 1 / AC

put P = (h,k)

use the above condition and solve it

i hope from above hint u can get the answerrrr

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