Q. 3 J5.0( 1 Vote )

# Find the equation of the tangent and the normal to the following curves at the indicated points:

Answer :

finding the slope of the tangent by differentiating the curve

m(tangent) at =

normal is perpendicular to tangent so, m_{1}m_{2} = – 1

m(normal) at =

equation of tangent is given by y – y_{1} = m(tangent)(x – x_{1})

equation of normal is given by y – y_{1} = m(normal)(x – x_{1})

Rate this question :

Find the equation of tangent to the curve , at the point, where it cuts the x-axis.

Mathematics - Board PapersFind the equation of the tangent and the normal to the following curves at the indicated points:

y = 2x^{2} – 3x – 1 at (1, – 2)

Find the equation of the tangent and the normal to the following curves at the indicated points:

y = x^{4} – 6x^{3} + 13x^{2} – 10x + 5 at (0, 5)

Find the equation of the tangent and the normal to the following curves at the indicated points:

y = x^{2} at (0, 0)

Find the equation of the tangent and the normal to the following curves at the indicated points:

y = x^{4} – 6x^{3} + 13x^{2} – 10x + 5 at x = 1 y = 3

Find the equation of the tangent and the normal to the following curves at the indicated points:

at (2, – 2)

RD Sharma - Volume 1Find the condition that the curves 2x = y^{2} and 2xy = k intersect orthogonally.