Home
Class 12
MATHS
Point P(2,3) goes through following tran...

Point `P(2,3)` goes through following transformations in successtion:
(i) reflection in line `y=x`
(ii) translation of 4 units to the right
(iii) translation of 5 units up
(iv) reflection in y-axis
Find the coordinates of final position of the point .

Text Solution

Verified by Experts

The correct Answer is:
`(-7,3)`
Given point is P (-2,3).
Changed position P after said transformations are :
(i) reflection in the line `y=x:(3,-2)`
(ii) translation of 4 units to the right : `(3+4,-2)-=(7,-2)`
(iii) translation of 5 units up: `(7,-2+5)-=(7,3)`
(iv)reflection in y-axis: `(-7,3)`
Promotional Banner

Topper's Solved these Questions

  • COORDINATE SYSYEM

    CENGAGE|Exercise Exercise 1.2|8 Videos

  • COORDINATE SYSYEM

    CENGAGE|Exercise Exercise 1.3|10 Videos

  • COORDINATE SYSYEM

    CENGAGE|Exercise JEE Main Previous Year|6 Videos

  • COORDINATE SYSTEM

    CENGAGE|Exercise Multiple Correct Answers Type|2 Videos

  • CROSS PRODUCTS

    CENGAGE|Exercise DPP 2.2|13 Videos

Similar Questions

Explore conceptually related problems

The point (3, 2) undergoes the following transformations successively (i) Reflection with respect to the line y=x (ii) translation through 3 units along the positive direction of the X-axis (iii) Rotation through an angle of pi/6 about the origin in the clockwise direction. The final position of the point P is

The point (1,3) undergoes the following transformations successively (i) Reflection with respect to the line y=x (ii) translation through 3 units along the positive direction of the X-axis (ii) Rotation through an angle (pi)/(6) about the origin in the clockwise direction. The final position of the point P is

The point A(4, 1) undergoes following transformations successively:reflection about line y=x translation ,through a distance of 3 units in the positive direction of x-axis(iii) rotation through an angle 105^@ in anti-clockwise direction about origin O.Then the final position of point A is

The point P (a,b) undergoes the following three transformations successively : (a) reflection about the line y = x. (b) translation through 2 units along the positive direction of x-axis. (c) rotation through angle (pi)/(4) about the origin in the anti-clockwise direction. If the co-ordinates of the final position of the point P are ( - (1)/( sqrt(2)), (7)/( sqrt(2))) , then the value of 2 a - b is equal to :

The point (4, 1) undergoes the following three transformations successively: (a) Reflection about the line y = x (b) Translation through a distance 2 units along the positive direction of the x-axis. (c) Rotation through an angle pi/4 about the origin in the anti clockwise direction. The final position of the point is given by the co-ordinates.

The point (4,1) undergoes the following two successive transformations (i) Reflection about the line y=x (ii) Translation through a distance 2 units along the positive X-axis. Then the final coordinate of the point are

The point (3,2) undergoes the following three transformations in the order given (i) Reflection bout the line y=x (ii) Translation by the distance 1 unit in the positive direction of x -axis (iii) Rotation by an angle (pi)/(4) about the origin

If the given be shifted to the point (2,-3) by a translation of coordinate axes, find the new coordinates of the point (4,7).

The point (7,5) undergoes the following transformations successively (i) The origin is translated to (1,2). (ii) Translated through 2 units along the negative direction of the new X-axis alii) Rotated through an angle about the origin in the clockwise direction.The final position of the point (7,5) is