The length of normal to the curve x = a(θ+sinθ) at the point θ=π/2 is [RPET 1999]
A
2a
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B
a/2
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C
√2a
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D
a/√2
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Solution
The correct option is A 2a Let y = xn+1; then y1=(n+1)xn y2=n(n+1)xn−1 y3=n(n+1)(n−1)xn−2
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.................................. yn=(n+1)!x.