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If the line y=4x-5 touches the curve y^(...

If the line y=4x-5 touches the curve `y^(2)=ax^(3)+b` at the point (2,3), then 7a+2b=0

A

1

B

2

C

0

D

3

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The correct Answer is:
C
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NIKITA PUBLICATION-APPLICATIONS OF DERIVATIVES-MULTIPLE CHOICE QUESTIONS
  1. The equation of tangent to the curve x^(2)+y^(2)=5, where the tangent ...

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  2. If the line x+y=0 touches the curve 2y^(2)=ax^(2)+b at (1,-1), then

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  3. If the line y=4x-5 touches the curve y^(2)=ax^(3)+b at the point (2,3)...

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

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  5. The co-ordinates of the point of the curve y=x-(4)/(x), where the tang...

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  6. The points on the curve y=x^(3)-2x^(2)-x, where the tangents are paral...

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  7. The points on the curve y=sqrt(x-3), where the tangent is perpendicul...

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  8. At origin, the curve y=sqrt(x) has

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  9. If the curve ax^(2)+by^(2)=1 and a'x^(2)+b'y^(2)=1 intersect orthogona...

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  10. For the curve x=a cos^(3) theta, y= a sin^(3) theta, the sum of the sq...

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  11. The equation of normal to the curve y=3x^(2)+4x-5" at "(1,2) is

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

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

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  14. The equation of normal to the curve 2x^(2)+3y^(2)-5=0 at (1,1) is

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  15. The equation of normal to the curve sqrt(x)-sqrt(y)=1 at (9,4) is

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

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  17. The equation of normal to the curve x^(2)+y^(2)-3x-y+2=0 at P(1,1) is

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  18. The equation of normal to the curve xy= c^(3)" at "(ct, (c )/(t)) is

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  19. The equation of normal to the curve y=sqrt(2) sin (2x+(pi)/(4))" at "x...

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  20. The equation of normal to the curve x=(1)/(t), y=t-(1)/(t)" at "t=2 is

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