Finding
![\[y\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-5f2772286a6520a8f79efbe43fd03631_l3.png "Rendered by QuickLaTeX.com")
co – ordinate by substituting
![\[x\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-d9f5f383952b7a3f84125cb5193e25a5_l3.png "Rendered by QuickLaTeX.com")
in the given curve
![\[2{{y}^{2}}-\text{ }6y\text{ }+\text{ }4\text{ }=\text{ }0\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-cc806497ed5f324c8430f4abcf07a81f_l3.png "Rendered by QuickLaTeX.com")
![\[{{y}^{2}}-\text{ }3y\text{ }+\text{ }2\text{ }=\text{ }0\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-cc88f8fb784c0208b5df33280102b7bc_l3.png "Rendered by QuickLaTeX.com")
Or,
![\[y\text{ }=\text{ }2\text{ }or\text{ }y\text{ }=\text{ }1\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-ce6ab04c8335ee79296b0e46d7d7c1a3_l3.png "Rendered by QuickLaTeX.com")
![\[m\text{ }\left( tangent \right)\text{ }at\text{ }x\text{ }=\text{ }2\text{ }is\text{ }0\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-cef0b0d206f3e0639642754be9262081_l3.png "Rendered by QuickLaTeX.com")
Normal is perpendicular to tangent so,
![\[{{m}_{1}}{{m}_{2}}~=\text{ }-\text{ }1\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-54343cf233cd6743486acecf614f5530_l3.png "Rendered by QuickLaTeX.com")
![\[m\text{ }\left( normal \right)\text{ }at\text{ }x\text{ }=\text{ }2\text{ }is~1/0\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-efb6f93d66efbed5ffbcc8970e6a640a_l3.png "Rendered by QuickLaTeX.com")
which is undefined
Equation of normal is given by
![\[y\text{ }-\text{ }{{y}_{1}}~=\text{ }m\text{ }\left( normal \right)\text{ }\left( x\text{ }-\text{ }{{x}_{1}} \right)\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-201913999855b083f05a9abddf83ea52_l3.png "Rendered by QuickLaTeX.com")
![\[x\text{ }=\text{ }2\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-bdd05f7c438a55db2981dd2702ba7e17_l3.png "Rendered by QuickLaTeX.com")
Finding
co – ordinate by substituting
in the given curve
Or,
Normal is perpendicular to tangent so,
which is undefined
Equation of normal is given by
