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Question

Mathematics Question on Conic sections

A particle moves along the curve x216+y24=1\frac{x^2}{16}+\frac{y^2}{4}=1. When the rate of change of abscissa is 4 times that of its ordinate, then the quadrant in which the particle lies is

A

III or IV

B

I or III

C

II or III

D

II or IV

Answer

II or IV

Explanation

Solution

The correct answer is (D) : II or IV.