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Standard XII

Mathematics

Formation of a Differential Equation from a General Solution

If p1 and ...

Question

If $p_{1}$ and $p_{2}$ be the length of perpendiculars from the origin on the tangent and normal to the curve $x^{2 / 3} + y^{2 / 3} = a^{2 / 3}$ respectively, then $4 p_{1}^{2} + p_{2}^{2} = ?$

4 a^{2}

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2 a^{2}

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a^{2}

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3 a^{2}

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Solution

The correct option is C $a^{2}$
Hence, Option (C) is the correct answer.

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If p1 and p2 be the length of perpendiculars from the origin on the tangent and normal to the curve x2/3+y2/3=a2/3 respectively, then 4p21+p22=?

The correct option is C a2Hence, Option (C) is the correct answer.

If $p_{1}$ and $p_{2}$ be the length of perpendiculars from the origin on the tangent and normal to the curve $x^{2 / 3} + y^{2 / 3} = a^{2 / 3}$ respectively, then $4 p_{1}^{2} + p_{2}^{2} = ?$

The correct option is C $a^{2}$
Hence, Option (C) is the correct answer.