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The equation of tangent to the curve y=b...

The equation of tangent to the curve `y=be^(-x//a)` at the point where it crosses Y-axis is

A

`x/a-y/b=1`

B

`ax+by+1`

C

`ax-by=1`

D

`x/a+y/b=1`

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The correct Answer is:
D
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CENGAGE ENGLISH-APPLICATION OF DERIVATIVES-EXERCISES
  1. The normal to the curve 2x^2+y^2=12 at the point (2,2) cuts the curve ...

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  2. At what point of curve y=2/3x^3+1/2x^2, the tangent makes equal angle ...

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  3. The equation of tangent to the curve y=be^(-x//a) at the point where i...

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  4. Then angle of intersection of the normal at the point (-5/(sqrt(2)),3/...

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  5. A function y = f(x) has a second-order derivative f''(x) =6(x-1). If i...

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  6. x+y-ln(x+y)=2x+5 has a vertical tangent at the point (alpha,beta) the...

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  7. A curve is difined parametrically by x=e^(sqrtt),y=3t-log(e)(t^(2)), w...

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  8. If x+4y=14 is a normal to the curve y^2=alphax^3-beta at (2,3), then t...

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  9. In the curve represented parametrically by the equations x=2ln cott+1 ...

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  10. The abscissas of point Pa n dQ on the curve y=e^x+e^(-x) such that tan...

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  11. If a variable tangent to the curve x^2y=c^3 makes intercepts a , bonx-...

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  12. Let C be the curve y=x^3 (where x takes all real values). The tangent ...

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  13. The equation of the line tangent to the curve x siny + ysinx = pi at t...

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  14. The x-intercept of the tangent at any arbitrary point of the curve a/(...

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  15. At any point on the curve 2x^2y^2-x^4=c , the mean proportional betwee...

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  16. Given g(x) (x+2)/(x-1) and the line 3x+y-10=0. Then the line is

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  17. If the length of sub-normal is equal to the length of sub-tangent at ...

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  18. The number of point in the rectangle {(x , y)}-12lt=xlt=12a n d-3lt=yl...

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  19. Tangent of acute angle between the curves y=|x^2-1| and y=sqrt(7-x^2) ...

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  20. The line tangent to the curves y^3-x^2y+5y-2x=0 and x^2-x^3y^2+5x+2y=0...

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