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If the curves xy = a and x = y^(2) inte...

If the curves xy = a and `x = y^(2)` intersect at right angles, then-

A

`16a^(2)=1`

B

`8a^(2) +1=0`

C

`8a^(2)=1`

D

`16a^(2) +1 =0`

Text Solution

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The correct Answer is:
C
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CHHAYA PUBLICATION-MCQ ZONE 3 -Question Paper 4
  1. The optimal value of the objective function in a LPP is attained at po...

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  2. If the tangent at any point P to the parabola y^(2)=4ax meets the dire...

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  3. The point (or points) on the curve y^(3)+ 3x^(2) =12y where tangent i...

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  4. Tangents are drawn to the ellipse 5x^(2)+ 9y^(2)=45 at the four ends o...

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  5. The normal to the parabola y^(2)=8x at the point (2, 4) meets the para...

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  6. A tangent is drawn at the point (3 sqrt(3) cos theta, sin theta) (0 lt...

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  7. A cone of height h is inscribed in a sphere of radius R , if the volum...

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  8. If f(x)=int(x^(2))^(x^(2)+1)e^(-t^(2))dt, then the interval in which f...

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  9. The minimum value of f(x)=2x^(2)+x-1 is-

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  10. The point on the curve xy^(2)=1 that is nearest to the origin is-

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  11. The number of values of x for which f(x)= cos x + cos sqrt(2)x attain...

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  12. The function f(x)= 2x^(3)-15x^(2) +36x + 1 is increasing in the interv...

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  13. The coordinates of the point for minimum value of Z=7x-8y , subject to...

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  14. If M and m are the maximum and minimum values respectively of the func...

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  15. The interval in which the function f(x)= 2x^(2)- log|x|(x ne 0) is in...

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  16. The sides of an equilateral triangle are increasing at the rate of 2 c...

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  17. Air is being pumped into a spherical balloon at the rate of 30 cm^(3)/...

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  18. If the curves xy = a and x = y^(2) intersect at right angles, then-

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  19. A curve having the condition that the slope of tangent at some point i...

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  20. An edge of a variable cube is increasing at the rate of 2 cm//s. When ...

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