circle doubt...

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If the locus of the mid points of the chords of the circle x²+y²=16 which are
tangents to the hyperbola 9x²-16y²=144 is given by (x²+y²)^a= bx²-cy² then
find the value of a+b+c.

#Mathematics #Co-ordinate Geometry

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2 Answers

1

mohit sengar ·2010-09-11 06:15:37

let the mid point of chord to the circle be (p,q)
then T=S1
so, px+qy = p² + q²
it can also be written as y = -px/q + p²/q + q²/q
acc to the conditon of tangency , we have
c² = a²m² - b²
( p²/q + q²/q)² = 16p²/q² - 9
on solving it u get a+ b+ c = 27

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sahil jain ·2010-10-01 07:48:42

54

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