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The condition that the line lx +my+n =0 ...

The condition that the line lx +my+n =0 to be a normal to `y^(2)=4ax` is

A

`al^(2)+2alm^(2)+m^(2)n =0`

B

`al^(3) +2alm^(2)+m^(2)n=0`

C

`al^(2)+2alm^(2)+m^(2)n^(2)=0`

D

`al^(3)+alm^(2)+m^(2) n=0`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-PARABOLA-EXERCISE- II
  1. If the normal at P on y^(2)= 4ax cuts the axis of the parabola in G a...

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  2. If t(1),t(2),t(3) are the feet of normals drawn from (x(1),y(1)) to th...

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  3. The feet of the normals to y^(2)= 4ax from the point (6a,0) are

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  4. Number of normals drawn through the point (8, 4) to the parabola y^(2)...

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  5. Number of distinct normals that can be drawn from ((11)/(4),(1)/(4)) t...

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  6. The number of normals drawn to the parabola y^(2)=4x from the point (1...

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  7. The condition that the line lx +my+n =0 to be a normal to y^(2)=4ax is

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  8. The line y=sqrt(2)x+4sqrt(2) is normal to y^(2)=4ax is

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  9. The line y=sqrt(2)x+4sqrt(2) is normal to y^(2)=4ax then k=

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  10. If the normals at (x(1),y(1)) and (x(2) ,y(2)) on y^(2) = 4ax meet ag...

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  11. If the normal at (1,2) on the parabola y^(2)=4x meets the parabola aga...

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  12. If the normal to the parabola y^(2)=4x at P(1,2) meets the parabola a...

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  13. If a normal subtends a right angle at the vertex of a parabola y^(2)=4...

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  14. If the normal subtends a right angle at the focus of the parabola y^(2...

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  15. The normal at P(8, 8) to the parabola y^(2) = 8x cuts it again at Q th...

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  16. If a normal chord of the parabola y^(2)=4x makes an angle of 45^(@) w...

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  17. Let M be the foot of the perpendicular from a point P on the parabola ...

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  18. If P is a point on the parabola y^(2)=8x and A is the point (1,0) then...

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  19. If a normal chord of a puint on the parabola y^(2) = 4ax, subtends a r...

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  20. The slopes of the focal chords of the parabola y^(2)=32 x which are ta...

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