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P is a point on the parabola y^2= 4ax an...

P is a point on the parabola `y^2= 4ax and PQ` is its focal chord. If PT is tangent at P and QN is normal at Q, the angle `alpha`, between `PT and QN` , distance between PT and QN is 'd' then

A

a)`0^@ltalphalt90^@`

B

b)`alpha=0^@`

C

c)d=0

D

d)`(a(1+t^2)^(3//2))/t^2`

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A DAS GUPTA-Parabola-EXERCISE
  1. If the focus =(2,3)and directrix is x+y=1 then the equation of the par...

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  2. The line x+y+1=0touches the parabola y^2=kx if k=.

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  3. If the normals to the parabola y^2=4a x at the ends of the latus rectu...

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  4. Write the length of het chord of the parabola y^2=4a x which passes th...

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  5. Find the condition that the line x cosalpha + y sin alpha=p touches th...

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  6. The point of intersection of the tangents at the ends of the latus ...

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  7. Find the angle between the tangents drawn from (1, 3) to the parabola ...

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  8. Find the equation of the circle described on the line segment joining ...

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  9. A double ordinate of the parabola y^2 = 8px is of length 16p. The angl...

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  10. The equation of parabola whose vertex and focus lie on the axis of x a...

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  11. f the normal at the point P (at1, 2at1) meets the parabola y^2=4ax agu...

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  12. If the tangents to the parabola y^2=4axat the points (x1,y1)and ((x2,y...

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  13. Find the condition that the line x cosalpha + y sin alpha=p touches th...

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  14. The angle between the tangents drawn from the origin to the parabola y...

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  15. The equation of a tangent to the parabola y^2=""8x""i s""y""=""x""+...

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  16. If't1'and't2'be the ends of a focal chord of the parabola y^2=4ax then...

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  17. The general equation to a system of parallel chords of the parabola y^...

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  18. P is a point on the parabola y^2= 4ax and PQ is its focal chord. If PT...

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  19. The radius of the circle whose centre is (-4,0) and which cuts the par...

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  20. Let C1 and C2 be parabolas x^2 = y - 1 and y^2 = x-1 respectively. Let...

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