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The equation of the tangent to the curve...

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

A

`ax+by=1`

B

`x/a+y/b=1`

C

`x/b+y/a=1`

D

`ax-by=1`

Text Solution

Verified by Experts

The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1B (TANGENT AND NORMAL)
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  2. The equation of the tangent to the curve y(x-2)(x-3)-x+7=0 where the c...

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

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  4. Equation of the tangent to the curve y=2x^36x^2-9 at the point where t...

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  5. The equation of the tangent to the curve y=(x+9)/(x+5) so that is pass...

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  6. The equation of the normal to the curve y=be^(-x//a) where it cuts y-a...

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  7. The equation of the normal to the curve y=2x^3+6x^2-9 where the curve ...

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  8. The distance between the origin and the normal to the curve y=e^(2x)+x...

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  9. The normal to he curve x=a(costheta+thetasintheta),y=a(sintheta-thetac...

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  10. If the normal to the curve x^3-y^2=0 at (m^2,-m^3) is y=mx-2m^3, then ...

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  11. The portion of the tangent drawn at any point on x^(2//3)+y^(2//3)=a^(...

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  12. The tangent at theta=pi//4 to the curve x=acos^3theta,y=asin^3theta me...

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  13. Tangent at any point of the curve (x/a)^(2//3)+(y/b)^(2//3)=1 makes in...

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  14. The sum of the intercepts on the coordinate axes of any tangent to sqr...

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  15. IF the tangent at any point P on the curve x^my^n=a^(m+n), mn ne 0 mee...

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  16. The tangent at any point f the curve x=at^3,y=at^4 divides the absciss...

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  17. If pand qare the lengths of the perpendiculars from the origin on the ...

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  18. If the tangent at any point on the curve x^4+y^4=a^4 cuts off intercep...

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  19. The sum of the squares o the intercepts on the coordinates axes of any...

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  20. If the tangent at any point on the curve x^(1//3)+y^(1//3)=a^(1//3)(ag...

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