Home
Class 12
MATHS
Let A be the image of (2, -1) with respe...

Let A be the image of (2, -1) with respect to Y - axis Without transforming the oringin, coordinate axis are turned at an angle `45^(@)` in the clockwise direction. Then, the coordiates of A in the new system are

A

`(-(1)/(sqrt(2)),-(3)/(sqrt(2)))`

B

`(-(3)/(sqrt(2)),(1)/(sqrt(2)))`

C

`((1)/(sqrt(2)),(3)/(sqrt(2)))`

D

`((3)/(sqrt(2)),(1)/(sqrt(2)))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise SINGLE OPTION CORRECT TYPE QUESTIONS|1 Videos
  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise Exercise For Session 1|10 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos
  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|37 Videos

Similar Questions

Explore conceptually related problems

The point (4,1) undergoes the following three successive transformations , reflection about the line y = x-1 translation through a distance 1 unit along the positive direction rotation thrpough an angle pi/4 about the origin in the anti - clockwise direction Then the coordinates of the final point are ,

The equation of image of pair of lines y=|x-1| with respect to y-axis is :

At what point of the curve y = x^2 does the tangent make an angle of 45^@C with the x-axis?

If the origin is shifted (1, 2, -3) without changing the directions of the axis, then find the new coordinates of the point (0, 4, 5) with respect to new frame.

A line through the point A (2, 0), which makes an angle of 30^@ with the positive direction of x-axis is rotated about A in clockwise direction through an angle 15^@ . Then the equation of the straight line in the new position is :

A line passing through the point (3, 0) makes an angle 30^@ with the positive direction of x-axis. If this line is rotated through an angie of 15^@ in clockwise direction, find its equation in new position.

A vector a has components a_1,a_2,a_3 in a right handed rectangular cartesian coordinate system OXYZ the coordinate axis is rotated about z axis through an angle pi/2 . The components of a in the new system

A line passes through the points (6,-7,-1)a n d(2,-3,1)dot Find the direction cosines of the line if the line makes an acute angle with the positive direction of the x-axis.