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A `(-1, 0) and B (2, 0)` are two given points. A point M is moving in such a way thatthe angle B in the triangle AMB remains twice as large as the angle A. Show that the locus of the pointM is a hyperbola. Find the eccentricity of the hyperbola.

A

a straight line

B

a parabola

C

an ellipse

D

a hyperbola

Text Solution

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The correct Answer is:
D
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