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The points on the curve 9y^2 = x^3 , whe...

The points on the curve `9y^2 = x^3` , where the normal to the curve makes equal intercepts with the axes are:

A

`(4, pm8/3)`

B

`(4, (-8)/3)`

C

`(4, pm3/8)`

D

`(pm4, 3/8)`

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The correct Answer is:
A
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ACCURATE PUBLICATION-APPLICATIONS OF DERIVATIVES-QUESTIONS CARRYING 1 MARK - TYPE-I
  1. The line y = x + 1, is a tangent to the curve y^2= 4x at the point :

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  2. The normal at the point (1,1) on the curve 2y + x^2 = 3 is:

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  3. The points on the curve 9y^2 = x^3 , where the normal to the curve mak...

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  4. On which of the following intervals is the function 'f' given by f(x) ...

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  5. The interval in which y=x^(2)e^(-x) is strictly increasing is

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  6. The interval for which the function f(x)=x^2-4x-5, is strictly increas...

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  7. The abscissa of the point on the curve 3y=6x-5x^3, the normal at which...

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  8. The two curves x^3-3xy^2+2=0 and 3x^2y-y^3=2

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  9. The tangent to the curve given by: x=e^t cos t,y =e^t sin t at t = pi/...

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  10. The equation of the normal to the curve y = sin x at (0,0) is

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  11. The point on the curve y^2=x, where the tangent makes an angle of pi/4...

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  12. The curve y=x^(1/5) has at (0, 0)

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  13. Find the equations of the normals to the curve: 3x^2-y^2=8, which are ...

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  14. If the curve at ay+x^(2)=7 and x^(3)=y, cut orthogonally at (1, 1), th...

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  15. The equation of tangent to the curve y(1+x^(2))=2-x, where it crosses ...

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  16. The points at which the tangents to the curve y=x^(3)-12x+18 are paral...

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  17. The tangent to the curve y=e^(2x) at the point (0, 1) meets x-axis at ...

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  18. The slope of the tangent to the curve x = t^2+3t-8, y = 2t^2-2t-5at th...

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  19. The two curves x^3-3xy^2+2=0 and 3x^2y-y^3=2

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  20. Find the intervals in which the following functions are (a)increasing ...

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