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The line x-y=1 intersect the parabola y^...

The line x-y=1 intersect the parabola `y^(2)=4x` at A and B. Normals at A and B intersect at C. If D is the point at which line CD is normal to the parabola, then coordinates of D are

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Tangent and normal are drawn at the point P-=(16 ,16) of the parabola ...

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

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

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

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

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

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

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

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

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

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  12. The locus of the midpoint of the segment joining the focus to a moving...

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  13. Show that the curve whose parametric coordinates are x=t^(2)+t+l,y=t^(...

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  14. Statement 1: The line y=x+2a touches the parabola y^2=4a(x+a) Stateme...

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  15. Consider a circle with its centre lying on the focus of the parabola, ...

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  16. Normal drawn to y^2=4a x at the points where it is intersected by the...

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  17. The radius of the circle touching the parabola y^2=x at (1, 1) and hav...

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  18. Maximum number of common normals of y^2=4ax and x^2=4by is

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  19. If two different tangents of y^2=4x are the normals to x^2=4b y , then

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  20. The largest value of a for which the circle x^2+y^2=a^2 falls totally ...

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