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The length of subnormal at (-1, 4) on y=...

The length of subnormal at `(-1, 4)` on `y=4x^2` is

A

4

B

16

C

32

D

8

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1B (TANGENT AND NORMAL)
  1. The length of the subtangent at (2, 2) to the cuvre x^5=2y^4 is

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  2. The curve y^2=(x+a)^3, the square of the subtangent is ..... Subnormal

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  3. The length of subnormal at (-1, 4) on y=4x^2 is

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  4. The length of the subnormal to the curve y^2=x^3 at (4, 8) is

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  5. The length of the subnomal to the curve y^2=2px is

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  6. The length of the subnormal to the curve x^2=4ay at (4a,4a) is

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  7. The length of subnormal of the curve 2x^2+3xy-2y^2=8 at (2, 3) is

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  8. The length of subnormal to the curve y=bsinx/a at any point is

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  9. The length of the subnormal of the curves x=acos^3theat,y=asin^3theta(...

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  10. The length of subnormal of the curves y=a/2(e^(x//a)+e^(-x//a)) at any...

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  11. The subnormal of the curve y=a^x at any point on the varies directly a...

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  12. The subnormal to the curve xy=c^2 at any point vaires directly as

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  13. The subtangent at any point of the curve x^my^n=a^(m+n) varies as its

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  14. For the curve y^2=(x+a)^3, the square of the subtangent is ….. Subnorm...

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  15. The subtangent, ordinate and subnormal to the parabola y^2=4ax at a po...

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  16. If the relation between subnormal SN and subtangent ST at any point on...

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  17. If the subnormal of the curve xy^n=a^(n+1) is constant, then the value...

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  18. If the subnormal at any point y=a^(1-n)x^n is of constant length, then...

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  19. If at any point on the curve y=f(x), the length of the subnormal is co...

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  20. The length of the subtangent to the curve y=ae^(x//b) at any point is

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