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The length of the subtangent at any poin...

The length of the subtangent at any point `(x_1,y_1)` on the curve `y=5^x` is

A

`5^(x_1)`

B

`y_1*5^(x_1)`

C

`log_e5`

D

`1/(log_e5)`

Text Solution

Verified by Experts

The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1B (TANGENT AND NORMAL)
  1. The length of the normal to the curve y=a((e^(-x//a)+e^(x//a))/2) at a...

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  2. The length of subtangent to y=be^(x//a) at any point is

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  3. The length of the subtangent at any point (x1,y1) on the curve y=5^x i...

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  4. The length of subtangent to sqrt(x)+sqrt(y)=3 at (4, 1) is

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  5. The length of subtangent to x^2y^2=a^4 at (a,a) is

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  6. The length of subtangent to x^2+xy+y^2=7 at (1, -3) is

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  7. The length of subtangent to y=xsinx at x=pi//2 is

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  8. The length of the subtangent to the curve y^2=x^2/(2a-x) at (a,a) is

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

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  10. The length of subtangent to x=a(theta+sintheta),y=a(1-costheta) at the...

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  11. The length of the subtangent of the curve x=acos^3theta,y=asin^3theta(...

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  12. For the parabola y^2=4ax, the ratio of the subtangent to the abscissa ...

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  13. The subtangent at x=pi//2 on the cirve y=xsinx is

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  14. The subtangent to the curve x^my^n=a^(m+n) at any point (x,y) is

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  15. The length of the subtangent (if exists) at any point theta on the ell...

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  16. The length of the subtangent to the curve x^2y^2=a^4 at any point (-a,...

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  17. The length of the subtangent at (2, 2) to the cuvre x^5=2y^4 is

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

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

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

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