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If the equation of the tangent at (2,3) on the curve `y=ax^2+b` is `y=4x-5` then`a=`

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B

1

C

-1

D

2

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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1B (TANGENT AND NORMAL)
  1. The normal to the curve x=a(1+costheta),y=asintheta at 'theta' always ...

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

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  3. If the equation of the tangent at (2,3) on the curve y=ax^2+b is y=4x-...

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  4. Ify=4x-5 is a tangent to the curve y^2=px^3+q at(2,3), then

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  5. The angle made by the tangent at any point of the curve x=a(t+sintcost...

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  6. The angle which the tangent at (2,1) to the curve x^3+y^3=9 with the x...

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  7. If the tangent to the curve xy+ax+by=0 at (1,1) is inclined at an angl...

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  8. If the line ax + by + c = 0 is a normal to the curve xy = 1 then

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  9. The coordinates of the point P on the curve x=a(theta+sintheta),y=a(1-...

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  10. Points at which the tangents to the hyperbola y=(x-1)/(x+1) are parlle...

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  11. The point on the curve y=x^2+5, the tangent at which is perpendicular ...

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  12. The curvey-e^(xy)+x=0 has a vertical tangent at the point

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  13. The point on the curve y=x^3+x-2, the tangent at which is parallel to ...

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  14. The line x//a+y//b=1 is a tangent to curve y=be^(-x//a) at the point

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  15. The points on the curve y=x^3, the tangent at which are inclined at an...

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  16. The point on the curve x^2+y^2-2x-3=0 at which the tangent is parallel...

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  17. The point on the curve x^4-4x^3+4x^2+1 at which the tangent is paralle...

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  18. The points on the curve y=x^2+sqrt(1-x^2) at which the tangent is perp...

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  19. The points on the curve 2a^2y=-x^3-3ax^2 at which the tangent is perpe...

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  20. The equation of the tangent to the curve 4x^2+9y^2=40 and having slope...

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