Q19 of 149 Page 16

Find the equation of the tangent to the curve x = sin 3t, y = cos 2t at

finding the slope of the tangent by differentiating x and y with respect to t




Dividing the above equations to obtain the slope of the given tangent



m(tangent) at is


equation of tangent is given by y – y1 = m(tangent)(x – x1)


therefore, equation of tangent is



More from this chapter

All 149 →
17

Find the equation of the tangent to the curve x2 + 3y – 3 = 0, which is parallel to the line y = 4x – 5.

 18

Prove that touches the straight line for all at the point (a, b).

 20

At what points will be tangents to the curve y = 2x3 – 15x2 + 36x – 21 be parallel to the x – axis? Also, find the equations of the tangents to the curve at these points.

 21

Find the equation of the tangents to the curve 3x2 – y2 = 8, which passes through the point (4/3, 0).