MHT-CET

Rectangular Cartesian Co-ordinates question bank (Mathematics)

Practice 6 free MHT-CET Mathematics - Rectangular Cartesian Co-ordinates questions with answers and step-by-step solutions.

Q1.

If the Cartesian coordinates of a point are $\left(\frac{-5 \sqrt{3}}{2}, \frac{5}{2}\right)$,then its polar coordinates are

(A)
$\left(5, \frac{2 \pi}{3}\right)$
(B)
$\left(5, \frac{13 \pi}{18}\right)$
(C)
$\left(5, \frac{5 \pi}{6}\right)$
(D)
$\left(5, \frac{11 \pi}{18}\right)$
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Q2.

The Cartesian coordinates of the point whose polar coordinates are $\left(\frac{1}{2}, 120^{\circ}\right)$ are:

(A)
$\left(\frac{1}{4}, \frac{-\sqrt{3}}{4}\right)$
(B)
$\left(\frac{1}{4}, \frac{\sqrt{3}}{4}\right)$
(C)
$\left(\frac{-1}{4}, \frac{-\sqrt{3}}{4}\right)$
(D)
$\left(\frac{-1}{4}, \frac{\sqrt{3}}{4}\right)$
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