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Question

The line y=2t2 intersects the ellipse x29+y24=1 in real points, if

A
|t|1
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B
|t|<2
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C
|t|>1
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D
|t|1
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Solution

The correct option is A |t|1
For the ellipse x29+y24=1 length of semi minor axis(along y-axis) is 2 so, 2y<2
22t221t21
Byt t20
0t211t1|t|1|t|1

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