If the tangent to the curve x 3- y 2-0 at m 2- m 3 is parallel to y -1- m x -2 m 3- then the value of m 2 isA- 1-3B- 1-6C- 2-3D- -2-3

The correct option is C 2/3 Equation of tangent at (m^2, m^3) is y==3/2mx+1/2m^3 ...

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Standard XII

Mathematics

Point Form of Tangent: Ellipse

If the tangen...

Question

If the tangent to the curve $x^{3} - y^{2} = 0$ at $(m^{2}, - m^{3})$ is parallel to y $= - \frac{1}{m} x - 2 m^{3},$ then the value of $m^{2}$ is

\frac{1}{3}

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\frac{1}{6}

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\frac{2}{3}

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\frac{- 2}{3}

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Solution

The correct option is C $\frac{2}{3}$

Equation of tangent at $(m^{2}, - m^{3})$ is
$y == \frac{3}{2} m x + \frac{1}{2} m^{3}$

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If the tangent to the curve x3−y2=0 at (m2,−m3) is parallel to y =−1mx−2m3, then the value of m2 is

The correct option is C 23 Equation of tangent at (m2,−m3) is y==32mx+12m3

If the tangent to the curve $x^{3} - y^{2} = 0$ at $(m^{2}, - m^{3})$ is parallel to y $= - \frac{1}{m} x - 2 m^{3},$ then the value of $m^{2}$ is

The correct option is C $\frac{2}{3}$

Equation of tangent at $(m^{2}, - m^{3})$ is
$y == \frac{3}{2} m x + \frac{1}{2} m^{3}$