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The number of values of phi in [0,2pi] f...

The number of values of `phi in [0,2pi]` for which the line `2xcosphi +3ysinphi=6` touches the ellipse `4x^2+9y^2=36` is a) four b) two c)one d) infinite

A

1

B

2

C

4

D

infinite

Text Solution

Verified by Experts

The correct Answer is:
D
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