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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 (a) `|alpha|` `< sqrt(3)` (b) `|alpha|<2` (c) `1/4`<`alpha`<`sqrt(3)` (d) none of these

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. If a and c are the lengths of segments of any focal chord of the parab...

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  2. AB is a chord of the parabola y^2 = 4ax with its vertex at A. BC is dr...

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  3. The set of values of alpha for which the point (alpha,1) lies inside t...

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  4. If P be a point on the parabola y^2=3(2x-3) and M is the foot of perpe...

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  5. If y=m x+c touches the parabola y^2=4a(x+a), then (a)c=a/m (b) c=a m...

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  6. The angle between the tangents to the parabola y^2=4a x at the points ...

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  7. The area of the triangle formed by the tangent and the normal to the ...

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  8. Double ordinate A B of the parabola y^2=4a x subtends an angle pi/2 at...

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  9. Statement 1: The normals at the points (4, 4) and (1/4,-1) of the para...

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  10. The tangent PT and the normal PN to the parabola y^2=4ax at a point P...

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  11. Let A and B be two distinct points on the parabola y^2=4x. If the ax...

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  12. The equations of the common tangents to the parabola y = x^2 and y=-...

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  13. about to only mathematics

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  14. Let (x,y) be any point on the parabola y^2 = 4x. Let P be the point t...

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  15. The common tangents to the circle x^2 + y^2 =2 and the parabola y^2 = ...

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  16. If two distinct chords of a parabola y^2=4ax , passing through (a,2a) ...

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  17. The point of intersection of the tangents of the parabola y^2=4x drawn...

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  18. Which of the following line can be normal to parabola y^2=12 x ? (a)x...

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  19. Which of the following line can be tangent to the parabola y^2=8x ? (...

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  20. The locus of the midpoint of the focal distance of a variable point ...

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