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

RD Sharma Solutions for Class 12 Maths Chapter 16 Tangents and Normals Image 1

\[\left( \mathbf{ii} \right)\text{ }\mathbf{y}\text{ }=\text{ }\surd \mathbf{x}\text{ }\mathbf{at}\text{ }\mathbf{x}\text{ }=\text{ }\mathbf{9}\]

Solution:

(i)

RD Sharma Solutions for Class 12 Maths Chapter 16 Tangents and Normals Image 2

RD Sharma Solutions for Class 12 Maths Chapter 16 Tangents and Normals Image 3

RD Sharma Solutions for Class 12 Maths Chapter 16 Tangents and Normals Image 4

\[\left( \mathbf{ii} \right)\text{ }\mathbf{y}\text{ }=\text{ }\surd \mathbf{x}\text{ }\mathbf{at}\text{ }\mathbf{x}\text{ }=\text{ }\mathbf{9}\]

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 16 Tangents and Normals Image 5

RD Sharma Solutions for Class 12 Maths Chapter 16 Tangents and Normals Image 6

\[\Rightarrow ~The\text{ }Slope~of\text{ }the\text{ }normal\text{ }=\text{ }-\text{ }6\]