The polar co-ordinates of P are (2, (π/6)). If Q is the image of P about the X-axis then the polar co-ordinates of Q are ......

Question

The polar co-ordinates of P are (2, (π/6)). If Q is the image of P about the X-axis then the polar co-ordinates of Q are ...... (A) (2, (5π/6)) (B) (2, (π/6)) (C) (2, (π/3)) (D) (2, (11π/6))

Tardigrade Admin · Accepted Answer

We have, polar coordinates of P are (2, (π/6)). If Q is the image of P about the X -axis ∴ Q ≡(2-(π/6)) ⇒ Q ≡(2, (11 π/6)) <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/mathematics/d2893dfc4909a7db6d7b665924cdf1ca-.png" />

Q. The polar co-ordinates of $P$ are $(2, \frac{π}{6})$ . If $Q$ is the image of $P$ about the $X$ -axis then the polar co-ordinates of $Q$ are $......$

$(2, \frac{5 π}{6})$

$(2, \frac{π}{6})$

$(2, \frac{π}{3})$

$(2, \frac{11 π}{6})$

We have, polar coordinates of $P$ are $(2, \frac{π}{6})$ .
If $Q$ is the image of $P$ about the $X$ -axis
$∴ Q \equiv (2 - \frac{π}{6})$
$\Rightarrow Q \equiv (2, \frac{11 π}{6})$

Q. The polar co-ordinates of P are (2,6π​). If Q is the image of P about the X-axis then the polar co-ordinates of Q are ......

(2,65π​)

(2,6π​)

(2,3π​)

(2,611π​)