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C (0,1) is the centre of the circle with...

C (0,1) is the centre of the circle with radius unity. P is the parabola `y=ax^(2)`. The set of values of a for which they meet at a point other than the origin is

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Statement 1: There are no common tangents between the circle x^2+y^2...

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  2. If the line x-1=0 is the directrix of the parabola y^2-k x+8=0 , then ...

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  3. C (0,1) is the centre of the circle with radius unity. P is the parabo...

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  4. The set of points on the axis of the parabola (x-1)^(2)=8(y+2) from wh...

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  5. The shortest distance between the parabolas 2y^2=2x-1 and 2x^2=2y-1 is...

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  6. Normals at two points (x(1),y(1))and(x(2),y(2)) of the parabola y^(2)=...

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  7. The endpoints of two normal chords of a parabola are concyclic. Then ...

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  8. In parabola y^2=4x, From the point (15,12), three normals are drawn th...

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  9. t 1 and  t 2 are two points on the parabola y^...

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  10. Tangent and normal are drawn at the point P-=(16 ,16) of the parabola ...

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  11. Length of the shortest normal chord of the parabola y^2=4ax is

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  12. The line x-y=1 intersect the parabola y^(2)=4x at A and B. Normals at ...

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  13. If normals drawn from a point P(h,k) to the parabola y^(2)=4ax, then t...

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  14. If x+y=k is normal to y^2=12 x , then k is (a)3 (b) 9 (c) -9 (d) -3

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  15. An equilateral triangle is inscribed in the parabola y^(2)=4ax, such...

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  16. Evaluate, min[(x1-x2)^2+(5+sqrt(1-x1^2)-sqrt(4x2))^2],AAx1,x2 in R , ...

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  17. The equation of the directrix of the parabola y^2+4y+4x+2=0 is (a)x=-1...

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  18. The equation of the common tangent touching the circle (x-3)^2+y^2=9 ...

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  19. At what point on the parabola y^2=4x the normal makes equal angle with...

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  20. The focal chord of y^(2)=16x is tangent to (x-6)^(2)+y^(2)=2. Then t...

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