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If the normal to the rectangular hyperbo...

If the normal to the rectangular hyperbola `xy = c^2` at the point `'t'` meets the curve again at `t_1` then `t^3t_1,` has the value equal to

A

a)1

B

b)c

C

c)-c

D

d)-1

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A DAS GUPTA-Ellipse and Hyberbola-EXERCISE
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  3. Which of the following is an exterior point of the ellipse 16x^2+9y^2-...

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  5. Find the equaiton of the tangents to the hyperbola x^2 - 2y^2 = 18 whi...

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  6. A point on the ellipse x^2+3y^2=37 where the normal is parallel to the...

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  7. if the ordinate of the point of contact be 2 then the equation of the ...

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  8. A tangent to the ellipse 16x^2 + 9y^2 = 144 making equal intercepts o...

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  11. If P & Q are the ends of a pair of conjugate diameters & C is the cent...

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  12. If any point on a hyperbola is (3 tantheta, 2sectheta) then eccentrici...

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  15. Find the locus of the middle points of the normals chords of the recta...

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  16. The line y=m x-((a^2-b^2)m)/(sqrt(a^2+b^2m^2)) is normal to the ellise...

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  17. A rectangular hyperbola whose centre is C is cut by any circle of radi...

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  18. A normal to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 meets the ...

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  19. Let P be a point such that the sum of the slopes of normals drawn from...

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  20. Let ABC be an equilateral triangle inscribed in the circle x^2+y^2=a^...

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