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The point on the curve sqrt(x) + sqrt(y)...

The point on the curve `sqrt(x) + sqrt(y) = sqrt(a)`, the normal at which is parallel to the x-axis is-

A

`(0, 0)`

B

`(a, 0)`

C

`(0, a)`

D

`((a)/(4) , (a)/(4))`

Text Solution

Verified by Experts

The correct Answer is:
C
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CHHAYA PUBLICATION-MCQ ZONE 3 -Question Paper 3
  1. The area (in square unit ) bounded by the curve y= sinx between the o...

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  2. The equation of the normal to the ellipse (x^(2))/(a^(2)) + (y^(2))/(b...

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  3. The point on the curve sqrt(x) + sqrt(y) = sqrt(a), the normal at whic...

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  4. The slope of the tangent to the curve x= 3t^(2) +1, y=t^(3)-1 at x=1...

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  5. If the area above the x-axis bounded by the curve y=2^(kx) and the lin...

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  6. If the line x+y =1 is a tangent to the parabola y^(2)-y +x=0, then th...

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  7. The angle between the curves y= sin x and y= cos x is-

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  8. The function f(x)=cos x - 2ax is monotonically decreasing when-

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  9. If PQ and PR are the two sides of a triangle, then the angle between ...

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  10. The function f(x)=x^(3) +3x^(2) +4x+7 is increasing for-

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  11. If x+y=60, x, y gt 0, then the maximum value of xy^(3) is-

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  12. The points of extrema of f(x)= int(0)^(x) (sin t)/(t)dt in the domain ...

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  13. If the function f(x)= 2x^(3)-9ax^(2) +12a^(2)x +1, where a gt 0 attai...

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  14. A land in the form of a circular sector has been fenced by wire of 40 ...

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  15. The maximum value of the function f(x)=3 cos x - 4 sin x is-

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  16. The function f(x)= (lamda sin x + 6 cos x )/(2 sin x + 3 cos x) is ...

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  17. The surface area of a spherical bubble is increasing at the rate of ...

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  18. A point on the parabola y^(2)=18x at which the ordinate increases at t...

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  19. A function y=f(x) has a second order derivative f''(x)=6(x-1). If its ...

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  20. Maximize : Z=5y+2x subject to constraints- x+2y le 4, 7x + 8y ge 56...

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