Rotating a point about origin through an angle of - is equivalent to rotating the co-ordinate axes through an angle of -

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XI

Mathematics

Rotation of Axes

Rotating a po...

Question

Rotating a point about origin through an angle of $θ$ is equivalent to rotating the co-ordinate axes through an angle of $- θ$ .

True

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

False

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A
True

In both the cases the relative position of the point changes by $θ$ units. So they are equivalent.

Suggest Corrections

Similar questions

Final coordinates of a point as a result of rotating a point about origin through an angle of $θ$ is equivalent to rotating the co-ordinate axes through an angle of $- θ$ .

Q. The transformed equation of

4 x y - 3 x^{2} = 10

when the axes are rotated through an angle

θ

such that tan

θ

2

is .

Q. If a point

P (4, 3)

is rotated through an angle

45^{o}

in anticlockwise direction about origin, then co-ordinates of

P

in new position are :

Co-ordinate axes are rotated through an angle of $45^{\circ}$ in the anti-Clockwise direction. Find the Co-Ordinates of (2,3) in new co-ordinate system.

Q. For a given incident ray, if the plane mirror is rotated through an angle of

θ

the reflected ray rotates through an angle

Join BYJU'S Learning Program

Rotating a point about origin through an angle of θ is equivalent to rotating the co-ordinate axes through an angle of −θ.

The correct option is A True In both the cases the relative position of the point changes by θ units. So they are equivalent.

Rotating a point about origin through an angle of $θ$ is equivalent to rotating the co-ordinate axes through an angle of $- θ$ .

The correct option is A
True

In both the cases the relative position of the point changes by $θ$ units. So they are equivalent.