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The line lx+ my +n=0 will touch the para...

The line lx+ my +n=0 will touch the parabola `y^2 = 4ax` if

A

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

B

`al(l^2 +2m^2)=m^2n`

C

`al(2l^(2) + m^2) =-m^2n`

D

`al(2l^(2) + m^2) =2m^2n`

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The correct Answer is:
A
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ML KHANNA-THE PARABOLA -Problem Set (3) (MULTIPLE CHOICE QUESTIONS)
  1. If x= my+c is a normal to the parabola x^2 = 4ay, then the value of c ...

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  2. The angle between the normals to the parabola y^(2)=24xx at points (6,...

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  3. The line lx+ my +n=0 will touch the parabola y^2 = 4ax if

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  4. Three normals to the parabola y^2 = x are drawn through a point (c,0),...

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  5. The number of distinct normals that can be drawn to the parabola y^2 =...

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  6. If two of the feet of normals drawn.from a point to the parabola y^2 =...

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  7. The normal drawn at a point (at(1)^2 2at1) of the parabola y^2 = 4ax ...

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  8. The length of the normal chord which subtends an angle of 90^(@) at th...

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  9. The shortest distance between the lines y-x=1 and the curve x=y^2 is

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  10. The normal chord of the parabola y^2 = 4ax at a point whose ordinate i...

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  11. If the normal to the parabola y^2 = 4ax at the point P("at"^2 2at) c...

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

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  13. The normal at the point P( "at"1^2,2at1) meets the parabola y^2 = 4a...

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  14. If a normal chord subtends a right angle at the vertex of the parabola...

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  15. If the normals at points 't1' and 't2' meet on the parabola, then

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  16. The equation of a normal to the parabola y=x^(2)-6x+6 which is perpend...

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  17. If the normals at two points P and Q of a parabola y^2 = 4ax intersect...

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  18. If the point (at^2,2at) be the extremity of a focal chord of parabola ...

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  19. A triangle ABC of area Delta is inscribed in the parabola y^2 = 4ax s...

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  20. The locus of the middle points of the focal chord of the parabola y^(2...

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