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The condition that a straight line with ...

The condition that a straight line with slope m will be normal to parabola `y^(2)=4ax` as well as a tangent to rectangular hyperbola `x^(2)-y^(2)=a^(2)` is

A

`m^(6)-4m^(2)+2m-6y=0`

B

`m^(4)+3m^(3)+2m+1=0`

C

`m^(6)-2m=0`

D

`m^(6)+4m^(4)+3m^(2)+1=0`

Text Solution

Verified by Experts

The correct Answer is:
D
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ARIHANT MATHS-HYPERBOLA-Exercise (Single Option Correct Type Questions)
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  8. The equation of the line passing through the centre of a rectangular h...

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  10. Find the locus of the midpoints of chords of hyperbola 3x^(2)-2y^(2)+4...

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  11. The co-ordinates of the centre of the hyperbola, x^2+3x y+3y^2+2x+3y+2...

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  12. Let F1,F2 are the foci of the hyperbola x^2/16-y^2/9=1 and F3,F4 are t...

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  13. Locus of the point of intersection of the tangents at the points with ...

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  14. Latusrectum of the conic satisfying the differential equation xdy+ydx=...

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  15. The point of intersection of the curve whose parametrix equations are ...

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  16. If the tangent and normal to a rectangular hyperbola cut off intercept...

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  17. The focus of rectangular hyperbola (x-a)*(y-b)=c^2 is

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  18. The equation of a hyperbola conjugate to the hyperbola x^(2)+3xy+2y^(2...

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  19. If values of a, for which the line y=ax+2sqrt(5) touches the hyperbola...

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