if the tangent from a pt P on the circle x^2 + y^2 = 1 is perpendicular to tangent frm P to the circle x^2 + y^2 = 3, then locus of P is a circle of radius

a)2 b)3 c)4 d)none of these

Question

if the tangent from a pt P on the circle x^2 + y^2 = 1 is perpendicular to tangent frm P to the circle x^2 + y^2 = 3, then locus of P is a circle of radius a)2 b)3 c)4 d)none of these

bharat bajaj · Answer

THe tangent to circle 1 : x.x1 + y.y1 = 1 from point(x1,y1)
The tangent to circle 2 : x.x1 + y.y1 = 3 from point (x1,y1)
These tangents are perpendicular. Hence,
-x1/y1. -x1/y1 = -1
x1^2 / y1^2 = -1
x1^2 + y1^2 = 0
Hence, NONE OF THESE
THanks

Bharat Bajaj

IIT Delhi

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vaanya · Answer

thanku sir

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if the tangent from a pt P on the circle x^2 + y^2 = 1 is perpendicular to tangent frm P to the circle x^2 + y^2 = 3, then locus of P is a circle of radius a)2 b)3 c)4 d)none of these

if the tangent from a pt P on the circle x^2 + y^2 = 1 is perpendicular to tangent frm P to the circle x^2 + y^2 = 3, then locus of P is a circle of radius

a)2 b)3 c)4 d)none of these

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if the tangent from a pt P on the circle x^2 + y^2 = 1 is perpendicular to tangent frm P to the circle x^2 + y^2 = 3, then locus of P is a circle of radius a)2 b)3 c)4 d)none of these

if the tangent from a pt P on the circle x^2 + y^2 = 1 is perpendicular to tangent frm P to the circle x^2 + y^2 = 3, then locus of P is a circle of radiusa)2 b)3 c)4 d)none of these

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if the tangent from a pt P on the circle x^2 + y^2 = 1 is perpendicular to tangent frm P to the circle x^2 + y^2 = 3, then locus of P is a circle of radius

a)2 b)3 c)4 d)none of these