First slide

Definition of a circle

Question

The straight line $x \cos θ + y \sin θ = 2$ will touch the circle $x^{2} + y^{2} - 2 x = 0$ if

Moderate

A

$θ = n π, n \in I$
B

$A = (2 n + 1) π, n \in I$
C

$θ = 2 n π, n \in I$
D

None of these

Solution

Centre of circle is (1, 0) and radius is 1.
Line will touch the circle if $| \cos θ - 2 | = 1$ d=r
$\Rightarrow \cos θ = 1, 3$
Thus, $\cos θ = 1 \Rightarrow θ = 2 n π, n \in I$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App