Find the co-ordinate of the points obtained on rotating -5 -7 through 90- anticlockwise direction about the origin-

The correct option is C (7, 5)Rotation of point P(x,y) through 90^∘ (anticlockwise) about origin = P'( y,x). So, the rotation of point P ( 5, 7) through 90^∘ ...

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Standard VIII

Mathematics

Representation of Point on the Plane

Find the co-o...

Question

Find the co-ordinate of the points obtained on rotating (-5.-7) through $90^{\circ}$ anticlockwise direction about the origin.

(7,-5)

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(7,5)

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(-7,5)

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(-5,7)

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Solution

The correct option is A (7,-5)
Rotation of point P(x,y) through $90^{\circ}$ (anticlockwise) about origin = P'(-y,x).
So, the rotation of point P (-5,-7) through $90^{\circ}$ (anticlockwise) about origin = P'(7,-5).

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Find the co-ordinate of the points obtained on rotating (-5.-7) through 90∘ anticlockwise direction about the origin.

The correct option is A (7,-5)Rotation of point P(x,y) through 90∘ (anticlockwise) about origin = P'(-y,x). So, the rotation of point P (-5,-7) through 90∘ (anticlockwise) about origin = P'(7,-5).

Find the co-ordinate of the points obtained on rotating (-5.-7) through $90^{\circ}$ anticlockwise direction about the origin.

The correct option is A (7,-5)
Rotation of point P(x,y) through $90^{\circ}$ (anticlockwise) about origin = P'(-y,x).
So, the rotation of point P (-5,-7) through $90^{\circ}$ (anticlockwise) about origin = P'(7,-5).