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t 1 and  t 2 are two points on the parabola `y^2 =4ax` . If the focal chord joining them coincides with the normal chord, then ` (a) t1(t1+t2)+2=0 (b)` t1+t2=0 ` (c)`` t1*t2=-1` (d) none of these     

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
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  2. From the point (15, 12), three normals are drawn to the parabola y^2=4...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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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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