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WB JEE 2016
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+2
-0.5
The points of the ellipse 16x2 + 9y2 = 400 at which the ordinate decreases at the same rate at which the abscissa increases is/are given by
A
$$\left( {3,{{16} \over 3}} \right)\left( { - 3, - {{16} \over 3}} \right)$$
B
$$\left( {3, - {{16} \over 3}} \right)\left( { - 3,{{16} \over 3}} \right)$$
C
$$\left( {{1 \over {16}},{1 \over 9}} \right)\left( { - {1 \over {16}}, - {1 \over 9}} \right)$$
D
$$\left( {{1 \over {16}}, - {1 \over 9}} \right)\left( { - {1 \over {16}},{1 \over 9}} \right)$$
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