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A movable parabola touches x-axis and y-...

A movable parabola touches x-axis and y-axis at (0,1) and (1,0). Then the locus of the focus of the parabola is :

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. If a leaf of a book is folded so that one corner moves along an opp...

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  2. A parabola of latus-rectum 1 touches a fixed equal parabola. The axe...

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  3. A movable parabola touches x-axis and y-axis at (0,1) and (1,0). Then ...

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  4. Let N be the foot of perpendicular to the x-axis from point P on the p...

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  5. Two lines are drawn at right angles, one being a tangent to y^(2)=4ax ...

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  6. The area of the trapezium whose vertices lie on the parabola y^2 = 4x ...

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  7. Find the range of parameter a for which a unique circle will pass thro...

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  8. Find the radius of the largest circle, which passes through the focus ...

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  9. A tangent is drawn to the parabola y^(2)=4ax at P such that it cuts th...

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  10. Tangents are drawn to the parabola at three distinct points. Prove t...

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  11. Statement 1: The circumcircle of a triangle formed by the lines x=0,...

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  12. Statement 1: The point of intersection of the tangents at three dist...

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  13. Statement 1: If the straight line x=8 meets the parabola y^2=8x at Pa ...

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  14. Statement 1: Normal chord drawn at the point (8, 8) of the parabola ...

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  15. Statement 1: The value of alpha for which the point (alpha,alpha^2) li...

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  16. Statement 1: If there exist points on the circle x^2+y^2=a^2 from whic...

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  17. Let L be a normal to the parabola y^(2)=4x. If L passes through the po...

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  18. Let P and Q be distinct points on the parabola y^2 = 2x such that a c...

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  19. The tangent at any point P onthe parabola y^2=4a x intersects the y-ax...

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  20. If y=m1x+c and y=m2x+c are two tangents to the parabola y^2+4a(x+c)=0 ...

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