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The equation of the tangent to the curve...

The equation of the tangent to the curve `sqrt(x)+sqrt(y)=5` at (9,4) is

A

`2x-3y+30=0`

B

`3x-2y-19=0`

C

`2x+3y-30=0`

D

`3x+2y+19=0`

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)
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  3. The equation of the tangent to the curve sqrt(x)+sqrt(y)=5 at (9,4) is

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  4. The equation of the normal to the curve y=3x^2+4x-6 at(1,1) is

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  5. The equation of the normal to the curve y=x+1/x at(1,2) is

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  6. The equation of the normal to the curve 2y=3-x^2 at (1,1) is

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  7. The equation of the normal to the curve x^2=4y at (2,1) is

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  8. The equation of the normal to the curve y^2=x^3 at x=8 is

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  9. The equation of the normal to the curve y^4=ax^3 at (a,a) is

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  10. The equation of the normal to he curve 3y^2=4x+1 at (1.2) is

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  11. the equation of the normal to the curve y=(6x)/(x^2-1) at (2,4) is

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  12. The equation of the normal to the curve y=8/(4+x^2) at x=2 is

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  13. The equation of the normal to the curve y^2=4ax at (at^2,2at) is

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  14. The equation of the normal to the curve 2x^2-xy+3y^2=18 at (3,1) is

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  15. The equation of the normal to the curve y^2=x^3/(2a-x) at (a,a) is

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  16. The equation of the normal to the curve x^2/a^2+y^2/b^2=1 at (acosthet...

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  17. The equation of the normal to the curve (x/a)^4+(y/b)^4=2 at (a,b) is

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  18. The equation of the normal to the curve (x/a)^(2//3)+(y/b)^(2//3)=1 at...

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  19. The equation of the normal to the curve x=a(theta-sintheta),y=a(1-cost...

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  20. The normal to the curve x=a(1+costheta),y=asintheta at 'theta' always ...

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