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The set of values of alpha for which the...

The set of values of `alpha` for which the point `(alpha,1)` lies inside the curves `c_1: x^2+y^2-4=0` and `c_2: y^2=4x` is `|alpha|

A

`|alpha|lt sqrt3`

B

`|alpha | lt 2`

C

`1/4 lt alpha lt sqrt3 `

D

none of these

Text Solution

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The correct Answer is:
C
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FIITJEE-MATHEMATICS -OBJECTIVE
  1. The set of values of alpha for which the point (alpha,1) lies inside t...

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  2. If normal to parabola y^(2) - 4ax =0 at alpha point intersec the parab...

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  3. Equation of conjugate axis of hypobola xy -3y-4x+7=0 is

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  4. The sides of triangle ABC are represented by y-x =2, 2x +y + 4=0 and x...

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  5. The abscissae and ordinates of the points A and B are the roots of the...

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  6. The curve described parametrically by x=t^2+t+1 , and y=t^2-t+1 repres...

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  7. The eccentricity of the ellipse ax ^(2) + by ^(2) + 2 fx + 2gy + c =0 ...

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  8. A hyperbola, having the transverse axis of length 2 sin theta, is conf...

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  9. If x ^(2) + y^(2) - 14 x - 6y - 6=0, then the maximum possible value o...

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  10. Tangents are drawn from (4,4) to the circle x ^(2) + y ^(2) - 2x -7 =0...

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  11. The value of sin^3 10^0+sin^3 50^0-sin^3 70^0 is equal to -3/2 (b) 3/...

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  12. Two mutually perpendicular chords OA and OB are drawn through the vert...

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  13. The equatin 2x = (2n +1)pi (1 - cos x) , (where n is a positive intege...

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  14. If the sides of a triangle are in the ratio 1 : sqrt3 : 2, then the an...

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  15. Consider the circle C(1):x ^(2) +y ^(2) -6x - 8y + 15=0, C(2) : x ^(2)...

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  16. In a triangle ABC, IF angle B is twice angle C then c (b +a) is equal ...

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  17. Orthocentre of the triangle formed by the lines whose combined equatio...

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  18. Find the area of quadrilateral formed by 3x ^(2) + y ^(2) - 4xy + 6x -...

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  19. Equation of a straight line passing through the point of intersection ...

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  20. The equation of the image ofthe circle x^2+ y^2 +16x -24y+ 183 =0 by ...

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