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Questions  

If the chord of contact of tangents drawn from the point (h, k) to the circle x2+y2=a2  subtends a right angle at the centre, then

a
h2+k2=a2
b
2h2+k2=a2
c
h2−k2=a2
d
h2+k2=2a2

detailed solution

Correct option is D

The equation of the chord of contact of tangents drawn from the point (h, k) to the circle x2+y2=a2 is hx+ky=a2 The combined equation of OQ and OR is x2+y2=a2hx+kya22Since OQ is perpendicular to OR. Therefore,  Coeff. of x2+ Coeff. of y2=0⇒2a2=h2+k2

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