Let a be a fixed positive real number and n be an arbitrary constant. For the curve y={x^n}/{a^{n-1}}, if the length of the subnormal at any point (α,β) is proportional to \alpha^2, the n=

TS EAMCET 10-Sep-2020 Shift 1 Solved Paper

Section: Mathematics

Question : 68 of 160

Marks: +1, -0

Let a be a fixed positive real number and n be an arbitrary constant. For the curve y=

an−1

, if the length of the subnormal at any point (α,β) is proportional to α2, the n=

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