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The curves x^(3) -3xy^(2) = a and 3x^(2...

The curves ` x^(3) -3xy^(2) = a and 3x^(2)y -y^(3)=b,` where a and b are constants, cut each other at an angle of

A

`(pi)/(3)`

B

`(pi)/(4)`

C

`(pi)/(2)`

D

none of these

Text Solution

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The correct Answer is:
C
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MARVEL PUBLICATION-APLICATIONS OF DERIVATIVES-MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 12)
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  14. If y=(log x) - (2)/(x), x=(1)/(2), deltax =10 ^(-8), then delta y ~~…

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  15. If 1^(@) =0.0174^(c), then tan (45^(@) 50')~~…

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  16. If diameter of a sphere is 2 cm with error 0.082 mm, then approximate ...

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  17. If a wire of length l, with error delta l, is bent into an equilatera...

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  18. if radius of a sphere is r with error delta r , and S is its surface ...

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  19. If 1^(@) =0.018^(c), then sin^(2) (45 ^(@) 2')~~…

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