Find the equation of the tangent and the normal to the following curves at the indicated points: y^2= x^3/(4-x)

Home » Find the equation of the tangent and the normal to the following curves at the indicated points: y^2= x^3/(4-x)

Find the equation of the tangent and the normal to the following curves at the indicated points: y^2= x^3/(4-x)

RD Sharma Solutions for Class 12 Maths Chapter 16 Tangents and Normals Image 56

Equation of tangent is given by

$y\text{ }-\text{ }{{y}_{1}}~=\text{ }m\text{ }\left( tangent \right)\text{ }\left( x\text{ }-\text{ }{{x}_{1}} \right)$

$y\text{ }+\text{ }2\text{ }=\text{ }-\text{ }2\left( x\text{ }-\text{ }2 \right)$

$y\text{ }+\text{ }2x\text{ }=\text{ }2$

Equation of normal is given by

$y\text{ }-\text{ }{{y}_{1}}~=\text{ }m\text{ }\left( normal \right)\text{ }\left( x\text{ }-\text{ }{{x}_{1}} \right)$

RD Sharma Solutions for Class 12 Maths Chapter 16 Tangents and Normals Image 57

$2y\text{ }+\text{ }4\text{ }=\text{ }x\text{ }-\text{ }2$

$2y\text{ }-\text{ }x\text{ }+\text{ }6\text{ }=\text{ }0$

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