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If `(a , b)` is the midpoint of a chord passing through the vertex of the parabola `y^2=4x ,` then (a)`a=2b` (b) `a^2=2b` (c)`a^2=2b` (d) `2a=b^2`

A

a=ab

B

2a=b

C

`a^(2)=ab`

D

`2a=b^(2)`

Text Solution

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The correct Answer is:
D
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OBJECTIVE RD SHARMA ENGLISH-PARABOLA-Exercise
  1. Show that the parametric point (2+t^(2),2t+1) represents a parabola. S...

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  2. The ratio in which the line segment joining the point (4, -6) and (3, ...

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  3. If (a , b) is the midpoint of a chord passing through the vertex of th...

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  4. If the vertex and focus of a parabola are (3,3) and (-3,3) respectivel...

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  5. about to only mathematics

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  6. If y(1),y(2) are the ordinates of two points P and Q on the parabola ...

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  7. If the line x + y = 1 touches the parabola y^2-y + x = 0, then the coo...

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  8. Find the locus of the foot of the perpendiculars drawn from the vertex...

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  9. Equation of line touching both the parabolas y^2=4x & x^2=-32y

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  10. If t is the parameter for one end of a focal chord of the parabola y^2...

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  11. Find the equation of normal to the parabola y^2=4axat point (at^2, 2at...

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  12. Normal at the point P(a p^2,2a p) meets the parabola y^2=4a x again at...

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  13. The length of the subnormal to the parabola y^(2)=4ax at any point is ...

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  14. The two parabolas y^(2)=4x" and "x^(2)=4y intersect at a point P, whos...

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  15. A set of parallel chords of the parabola y^2=4a x have their midpoint ...

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  16. Find the point on the curve y^(2)=ax the tangent at which makes an ang...

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  17. If 2x+y+lamda=0 is a normal to the parabola y^(2)=-8x, then lamda is

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  18. Find the angle at which the parabolas y^2=4x and x^2=32 y intersect.

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  19. The normal at (a,2a) on y^2 = 4ax meets the curve again at (at^2, 2at)...

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  20. If a chord which is normal to the parabola at one end subtend a right ...

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