Q20 of 45 Page 1

If x = a sin 2t(1 + cos 2t) and y = b cos 2t(1 - cos 2t), show that at

Given:

Now differentiate x and y w.r.t ‘t’ (parametric differentiation)





…(1)


Now for y:





…(2)


For obtaining dividing (2) by (1),




More from this chapter

All 45 →
10

Find a vector vector a of magnitude 5√2, making an angle of pi /4 with x-axis., pi /2 with y-axis and an acute angle θ with z-axis.

 19

Using properties of determinants, prove that

 21

Find the particular solution of the differential equation x(1 + y2)dx - y(1 + x2)dy = 0, given that y = 1 when x = 0.

 22

Find the vector and cartesian equations of the line passing through the point (2, 1, 3) and perpendicular to the lines and