Questions
The point (4, I ) undergoes the following three transformations successively.
i . Reflection about the line y: x.
ii. Translation through a distance 2 units along the positive direction of the x-axis.
iii. Rotation through an angle about the origin in the counterclockwise direction.
Then the final position of the point is given by the co ordinates
detailed solution
Correct option is C
Reflection about the line y = x changes the point (4, l) to (1, 4). On the translation of (1, 4) through a distance of 2 units along the positive direction of the x-axis, the point becomes (1 + 2. 4), i.e., (3,4). On rotation about the origin through an angle π4point P takes the position P' such that OP=OP′. Also, OP=5=OP′ and cosθ=3/5,sinθ=4/5 . Now, x=OP′cosπ4+θ=5cosπ4cosθ−sinθ=5352−452=−12y=OP′sinπ4+θ=5sinπ4cosθ+cosπ4sinθ=5352+452=72P′≡−12,72Talk to our academic expert!
Similar Questions
The equation of the circle which has normal and a tangent is
799 666 8865
support@infinitylearn.com
6th Floor, NCC Building, Durgamma Cheruvu Road, Vittal Rao Nagar, HITEC City, Hyderabad, Telangana 500081.
JEE Mock Tests
JEE study guide
JEE Revision Notes
JEE Important Questions
JEE Sample Papers
JEE Previous Year's Papers
NEET previous year’s papers
NEET important questions
NEET sample papers
NEET revision notes
NEET study guide
NEET mock tests