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If the line lx + my +n=0 is a tangent to...

If the line `lx + my +n=0` is a tangent to the parabola `y^(2)= 4ax` , then-

A

`an^(2)=ml`

B

`al^(2)=mn`

C

`am^(2)=nl`

D

`a^(2)m=nl`

Text Solution

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The correct Answer is:
C
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CHHAYA PUBLICATION-MCQ ZONE 3 -Question Paper 2
  1. The equation of the normal to the parabola y^(2) =4ax at the point (...

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  2. If the slope of the normal to the parabola 3y^(2) + 4y +2=x at a point...

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  3. If the line lx + my +n=0 is a tangent to the parabola y^(2)= 4ax , the...

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  4. The area ( in square unit ) in the first quadrant bounded by the parab...

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  5. The equations of the tangents to the hyperbola 3x^(2) -4y^(2)=12 whic...

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  6. The equation of tangent to the curve xy^(2)= 4(4-x) where it meets the...

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  7. The normal to the curve x= 3 cos theta - cos^(3) theta , y=3 sin theta...

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  8. The area bounded by the parabolas y=4x^(2), y=(x^(2))/(9) and the stra...

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  9. The point on the curve x^(2)+ 2y =10 at which the tangent to the curv...

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  10. Let x and y be two variables and x gt 0 , xy=1, then the minimum valu...

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  11. The function f(x)= 1- x^(3) - x^(5) is decreasing for -

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  12. The function y=a(1- cos x) is maximum when x is-

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  13. Let f(x)=x^(3) +6x^(2) + px +2 , if the largest possible interval in ...

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  14. In -4 lt x lt 4 , the function f(x)= int(-10)^(x) (t^(4)-4)e^(-4t) dt...

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  15. If a(1),a(2),a(3),a(4),...,a(n) are n positive real numbers whose prod...

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  16. The length of the longest interval in which the function 3 sin x - 4 s...

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  17. The real number x when added to its inverse gives the minimum value of...

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  18. If minimum value of f(x)=x^(2)+2bx +2c^(2) is greater than maximum va...

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  19. Let f(x)=x^(3) + bx^(2) +cx +d, 0 lt b^(2) lt c . Then f(x)-

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  20. If v=(4)/(3)pir^(3), then the rate (in cubic unit ) at which v is incr...

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