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If the straight line lx + my=1 is a norm...

If the straight line `lx + my=1` is a normal to the parabola `y^(2)=4ax`, then-

A

`al^(2)+2lm=m^(2)`

B

`al^(3)-2alm=m^(2)`

C

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

D

`al^(2)+2aml=m^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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CHHAYA PUBLICATION-MCQ ZONE 3 -Question Paper 4
  1. If the straight line joining the point (0, 3) and (5, -2) is a tangent...

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  2. The equation of the normal to the hyperbola x= a sec theta , y= b tan ...

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  3. If the straight line lx + my=1 is a normal to the parabola y^(2)=4ax, ...

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  4. The area (in square unit) of the region {(x, y):x^(2)+y^(2) le 1 le x ...

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  5. The area (in square unit) bounded by the curve y= sec x, the x-axis a...

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  6. The angle between the parabolas y^(2)=x and x^(2)=y at the origin is-

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  7. The area (in square unit) of the smaller segment cut off from the circ...

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  8. The optimal value of the objective function in a LPP is attained at po...

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  9. If the tangent at any point P to the parabola y^(2)=4ax meets the dire...

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  10. The point (or points) on the curve y^(3)+ 3x^(2) =12y where tangent i...

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  11. Tangents are drawn to the ellipse 5x^(2)+ 9y^(2)=45 at the four ends o...

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  12. The normal to the parabola y^(2)=8x at the point (2, 4) meets the para...

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  13. A tangent is drawn at the point (3 sqrt(3) cos theta, sin theta) (0 lt...

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  14. A cone of height h is inscribed in a sphere of radius R , if the volum...

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  15. If f(x)=int(x^(2))^(x^(2)+1)e^(-t^(2))dt, then the interval in which f...

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  16. The minimum value of f(x)=2x^(2)+x-1 is-

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  17. The point on the curve xy^(2)=1 that is nearest to the origin is-

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  18. The number of values of x for which f(x)= cos x + cos sqrt(2)x attain...

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  19. The function f(x)= 2x^(3)-15x^(2) +36x + 1 is increasing in the interv...

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  20. The coordinates of the point for minimum value of Z=7x-8y , subject to...

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