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In parabola y^2=4x, From the point (15,1...

In parabola `y^2=4x`, From the point (15,12), three normals are drawn then centroid of triangle formed by three Co normal points is

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From a point (d, 0) three normals are drawn to the parabola y^(2)=x , then

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If the normals from any point to the parabola y^2=4x cut the line x=2 at points whose ordinates are in AP, then prove that the slopes of tangents at the co-normal points are in GP.

How many normals can be drawn to parabola y^(2)=4x from point (15, 12)? Find their equation. Also, find corresponding feet of normals on the parabola.

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Normals at two points (x(1),y(1))and(x(2),y(2)) of the parabola y^(2)=...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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