The length of normal to the curve x - a- - sin -at the point - - - - 2 is -RPET 1999-a-2-2- aa - -2-2a

The correct option is D 2aLet y = x^n+1; then y_1 = (n+1)x^n y_2 = n(n+1)x^n 1 y_3 = n(n+1)(n 1)x^n 2 .................................. ...................... ...

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Standard XII

Mathematics

Length of Normal

The length of...

Question

The length of normal to the curve x = $a (θ + s i n θ)$ at the point $θ = π / 2$ is
[RPET 1999]

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a/2

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\sqrt{2} a

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a / \sqrt{2}

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Solution

The correct option is A 2a
Let y = $x^{n + 1};$ then $y_{1} = (n + 1) x^{n}$
$y_{2} = n (n + 1) x^{n - 1}$
$y_{3} = n (n + 1) (n - 1) x^{n - 2}$
..................................
..................................
$y_{n} = (n + 1)! x .$

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The length of normal to the curve x = a(θ+sin θ) at the point θ=π/2 is [RPET 1999]

The correct option is A 2aLet y = xn+1; then y1=(n+1)xn y2=n(n+1)xn−1 y3=n(n+1)(n−1)xn−2 .................................. .................................. yn=(n+1)!x.

The length of normal to the curve x = $a (θ + s i n θ)$ at the point $θ = π / 2$ is
[RPET 1999]

The correct option is A 2a
Let y = $x^{n + 1};$ then $y_{1} = (n + 1) x^{n}$
$y_{2} = n (n + 1) x^{n - 1}$
$y_{3} = n (n + 1) (n - 1) x^{n - 2}$
..................................
..................................
$y_{n} = (n + 1)! x .$