Find the new co-ordinates of a point $P (3, 2)$ if it is rotated $90$ degrees in counterclockwise direction with respect to the origin.

(- 2, 3)

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(- 2, - 3)

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(- 3, 3)

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(- 3, 2)

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(- 3, - 2)

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Solution

The correct option is A $(- 2, 3)$
When the point is rotated through $90^{\circ}$ clockwise about the origin, the point $M (h, k)$ takes the image $M^{'} (k, - h)$ .
Therefore, the new position of point $M (- 2, 3)$ will become $M^{'} (3, 2)$ .

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Find the new co-ordinates of a point P(3,2) if it is rotated 90 degrees in counterclockwise direction with respect to the origin.

The correct option is A (−2,3)When the point is rotated through 90∘ clockwise about the origin, the point M(h,k) takes the image M′(k,−h). Therefore, the new position of point M(−2,3) will become M′(3,2).

Find the new co-ordinates of a point $P (3, 2)$ if it is rotated $90$ degrees in counterclockwise direction with respect to the origin.

The correct option is A $(- 2, 3)$
When the point is rotated through $90^{\circ}$ clockwise about the origin, the point $M (h, k)$ takes the image $M^{'} (k, - h)$ .
Therefore, the new position of point $M (- 2, 3)$ will become $M^{'} (3, 2)$ .