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If theta is the acute angle of interse...

If ` theta ` is the acute angle of intersection at a real point of intersection of the circle ` x^(2) + y^(2) =5 ` and the parabola `y^(2)=4x `, then the value of ` tan theta ` is-

A

1

B

`sqrt(3)`

C

`(1)/(sqrt(3))`

D

3

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The correct Answer is:
D
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CHHAYA PUBLICATION-MCQ ZONE 3 -Question Paper 6
  1. The coordinates of the point on the parabola x= 3y^(2) + 4y +2 at whi...

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  2. The area (in square unit ) of the region bounded by the curve 9x^(2) ...

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  3. If theta is the acute angle of intersection at a real point of inter...

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  4. The area (in square unit ) of the triangle bounded by the lines y=2 ,...

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  5. If the tangent to the curve y^(2) = x^(3) at the point (m^(2), m^(3)...

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  6. If A is the area of the region bounded by the curve y= sqrt(3x + 4) ,...

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  7. The locus of a point P ( alpha , beta ) moving under the condition t...

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  8. The curves y= sin x and y= cos x intersect infinitely many times g...

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  9. From a point (d, 0) three normals are drawn to the parabola y^(2)=x, t...

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  10. The condition that the line ax + by + c =0 is a tangent to the parab...

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  11. The normal to the curve x= a ( cos theta + theta sin theta ) , y= a( ...

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  12. If the tangent to the parabola y= x^(2) + 6 at the point (1, 7) also...

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  13. The parabolas y^(2)= 4x and x^(2) = 4y divide the square region boun...

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  14. The greatest value of the function f(x) = x^(2)"log" (1)/(x) is-

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  15. If f(x) = x^(3) - 6x^(2) + 9x +3 be a decreasing function, then x lie...

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  16. The minimum value of the function f(theta) = 6 cos theta + 8 sin theta...

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  17. The abscissa of the point on the parabola y^(2) = 2px which is neare...

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  18. The value of a for which the function (a+2)x^(3) - 3ax^(2) + 9ax -1 de...

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  19. A minimum value of the function f(x) = int(0)^(x) te^(-t^(2))dt is-

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  20. If f(x)= x^(3) + ax^(2) + bx + c is an increasing function for all re...

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