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The straight line xcostheta+ysintheta=2 ...

The straight line `xcostheta+ysintheta=2` will touch the circle `x^2+y^2-2x=0` if (a)`theta=npi,n in I Q` (b) `A=(2n+1)pi,n in I` `theta=2npi,n in I` (d) none of these

A

`theta=n pi,n in I`

B

`A=(2n+1)pi,n in I`

C

`theta=2npi,n in I`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
3
The center of the circle is (1,0) and radius is 1. The line will touch the circle if `|cos theta -2 | =1`.
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