Q.24 The normals at three points P, Q, R on a rectangular hyperbola xy = c2 intersect at a point on the curve. Prove that the centre of the hyperbola is the centroid of the triangle PQR.

Question

SAGAR SINGH - IIT DELHI · Answer

Dear student,

Take this hint:

Since the equation of the normal at (ct₁, c/t₁) to the hyperbola xy = c²is

Rectangular Hyperbola

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Q.24 The normals at three points P, Q, R on a rectangular hyperbola xy = c2 intersect at a point on the curve. Prove that the centre of the hyperbola is the centroid of the triangle PQR.

Q.24 The normals at three points P, Q, R on a rectangular hyperbola xy = c2 intersect at a point on the curve. Prove that the centre of the hyperbola is the centroid of the triangle PQR.

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