Q.
The point (4, 1) undergoes the followingthree transformations successively. (i) reflection about the line y=x(ii) transformation through a distance 2 units along thepositive direction of x- axis (iii) rotation through an angle p/4 about the origin inthe counter clockwise direction. Then the final positionof the point is given by the coordinates
see full answer
Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!
Real Strategies. Real People. Real Success Stories - Just 1 call away
An Intiative by Sri Chaitanya
answer is 3.
(Unlock A.I Detailed Solution for FREE)
Ready to Test Your Skills?
Check your Performance Today with our Free Mock Test used by Toppers!
Take Free Test
Detailed Solution
Reflection of the point (4, 1) about the line y=x is (1,4) which is transfered to the point (3,4) at a distance 2units along the positive direction of x- axis Finally a rotation through an angle π/4 takes it to(3cos(π/4)−4sin(π/4)),(3sin(π/4)+4cos(π/4))=−12,72
Watch 3-min video & get full concept clarity