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If a normal of slope m to the parabola y...

If a normal of slope m to the parabola `y^2 = 4 a x` touches the hyperbola `x^2 - y^2 = a^2` , then

A

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

B

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

C

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

D

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

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OBJECTIVE RD SHARMA ENGLISH-HYPERBOLA-Exercise
  1. Area of the triangle formed by the lines x-y=0,x+y= 0 and any tangant ...

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  2. The angle between the asymptotes of (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 ...

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  3. If a normal of slope m to the parabola y^2 = 4 a x touches the hyperbo...

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  4. Equation of common tangent to the parabola y^(2)=8x and hyperbola x^(2...

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  5. The circle drawn on the line segment joining the foci of the hyperbola...

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  6. The angle between the asymptotes of the hyperbola 2x^(2)-2y^(2)=9, is

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  7. The difference of the focal distances of anypoint on the hyperbola is ...

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  8. about to only mathematics

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  9. The points of the intersection of the curves whose parametric equation...

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  10. The equation of the hyperbola whose foci are (6.5), (-4,5) and eccentr...

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  11. Find the point on the hyperbola x^2-9y^2=9 where the line 5x+12 y=9 to...

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  12. The length of the latusrectum of the hyperbola (x^(2))/(a^(2))-(y^(2))...

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  13. P is a point on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1, and N...

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  14. If the tangent at the point (2sec theta,3tan theta) to the hyperbola (...

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  15. The eccentricity of the hyperbola (sqrt(1999))/(3)(x^(2)-y^(2))=1, is

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  16. Tangents are drawn to the hyperbola x^(2)-y^(2)=3 which are parallel ...

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  17. If th tangent at the point (asec alpha, b tanalpha ) to the hyberbola ...

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  18. The equation of the hyperbola of given transverse axis 2a with its ver...

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  19. Find the locus of the midpoints of the chords of the circles x^(2)+y^(...

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  20. If the latus rectum subtends a right angle at the center of the hyp...

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