JEE Mathematics Online Test Hyperbola Set A

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Question 1

Question

From the points on the circle x2 + y2 = a2, tangents are drawn to the hyperbola x2 – y2 = a2; then the locus of the middle points of the chords of contact is the curve

Answer

(x2 – y2)2 = a2(x2 – y2)

(x2 – y2)2 = 2a2(x2 + y2)

(x2 – y2)2 = a2(x2 + y2)

(x2 + y2)2 = a2(x2 + y2)