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The endpoints of two normal chords of a ...

The endpoints of two normal chords of a parabola are concyclic. Then the tangents at the feet of the normals will intersect at
a. Tangent at vertex of the parabola
b. Axis of the parabola
c. Directrix of the parabola
d. None of these

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Statement 1: If the endpoints of two normal chords A Ba n dC D (normal at Aa n dC) of a parabola y^2=4a x are concyclic, then the tangents at Aa n dC will intersect on the axis of the parabola. Statement 2: If four points on the parabola y^2=4a x are concyclic, then the sum of their ordinates is zero.

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
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  2. Normals at two points (x1y1)a n d(x2, y2) of the parabola y^2=4x meet ...

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

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  4. From the point (15, 12), three normals are drawn to the parabola y^2=4...

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

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

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

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  8. The line x-y-1=0 meets the parabola y^2 = 4x at A and B. Normals at ...

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  9. If normal are drawn from a point P(h , k) to the parabola y^2=4a x , t...

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  10. 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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  11. An equilateral triangle S A B is inscribed in the parabola y^2=4a x ...

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  12. min[(x1-x2)^2+(5+sqrt(1-x1^2)-sqrt(4x2))^2],AAx1,x2 in R , is (a)4sqr...

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

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

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

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  16. The focal chord to y^2=16 x is tangent to (x-6)^2+y^2=2. Then the poss...

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  17. If the normals to the parabola y^2=4a x at three points P ,Q ,a n dR m...

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

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  19. The curve described parametrically by x=t^2+t+1 , and y=t^2-t+1 repres...

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

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