JEE MATHEMATICS MCQ: TRANSFORMATION OF AXES

1 Easy

1 of 1

Application +4 | -1

If the axes are rotated through an angle of

45^{\circ}

in the clockwise direction, the coordinates of a point in the new system are

(0,-2)

, then its original coordinates are

View answer and explanation

Correct option: D

(-\sqrt{2},-\sqrt{2})

Option D

(-\sqrt{2},-\sqrt{2})

is correct because it is obtained by applying the rotation transformation with the given angle to the new coordinates.

More Questions from TRANSFORMATION OF AXES

Practice All Chapter MCQs →

12 x^2+7 x y-12 y^2-17 x-31 y-7=0,

3 x+4 y-5=0

xy

5{x^2} + 4\sqrt 3 \;xy + 9{y^2} - 8 = 0

\alpha=\ldots \ldots

x \cos \alpha+y \sin \alpha=p

p \neq 0

\sqrt{3}

(a b /(a-b), 0)

(a-b)\left(x^2+y^2\right)-2 a b x-0

y^2+4 y+8 x-2=0

y