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

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

A

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

B

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

C

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

D

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

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The correct Answer is:
A
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NCERT BANGLISH-APPLICATION OF DERIVATIVES-EXERCISE 6.6
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  8. A point on the hypotenuse of a triangle is at distance a and b from th...

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  9. Find the points at which the function f given by f (x) = (x-2)^(4)(x+1...

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  10. Find the absolute maximum and minimum values of the function f given b...

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  12. Let f be a function defined on [a, b] such that f ′(x) gt 0, for all x...

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  13. Show that the height of the cylinder of maximum volume that can be ...

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  14. Show that height of the cylinder of greatest volume which can be in...

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  15. A cylindrical tank of radius 10 m is being filled with wheat at the ra...

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

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  17. The line y = mx + 1 is a tangent to the curve y^(2)= 4x if the value o...

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

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  19. The normal to the curve x^(2) = 4y passing (1,2) is

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

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