Let a circle C_1 be obtained on rolling the circle x^2+y^2-4x-6y+11=0 upwards 4 units on the tangent T to it...

Question

Let a circle C_1 be obtained on rolling the circle x^2+y^2-4x-6y+11=0 upwards 4 units on the tangent T to it at the point (3,2). Let C_2 be the image of C_1 in T. Let A and B be the centers of circles C_1 and C_2 respectively, and M and N respectively be the feet of perpendiculars drawn from A and B on the x-axis. Then the area of the trapezium AMNB is:

Accepted Answer

(C)

JEE Main 2023 Mathematics question

Solution