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The line y=m x-((a^2-b^2)m)/(sqrt(a^2+b^...

The line `y=m x-((a^2-b^2)m)/(sqrt(a^2+b^2m^2))` is normal to the ellise `(x^2)/(a^2)+(y^2)/(b^2)=1` for all values of `m` belonging to `(0,1)` (b) `(0,oo)` (c) `R` (d) none of these

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The line y=mx-((a^(2)-b^(2))m)/(sqrt(a^(2)+b^(2)m^(2))) is normal to the ellise (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 for all values of m belonging to (0,1)(b)(0,oo)(c)R(d) none of these

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The range of values of alpha for which the line 2y=gx+alpha is a normal to the circle x^(2)=y^(2)+2gx+2gy-2=0 for all values of g is (a)[1,oo)(b)[-1,oo)(c)(0,1)(d)(-oo,1]

If the line y = mx + sqrt(a^(2)m^(2) - b^(2)) touches the hyperbola x^(2)/a^(2) - y^(2)/b^(2) = 1 at the point (a sec theta, b tan theta) , then find theta .

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A DAS GUPTA-Ellipse and Hyberbola-EXERCISE
  1. If e is eccentricity of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(...

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  2. Find the eccentric angle of a point on the ellipse x^2 + 3y^2 = 6 at a...

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  3. Which of the following is an exterior point of the ellipse 16x^2+9y^2-...

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  4. The line 3x+5y=k touches the ellipse 16x^(2)+25y^(2)=400 ,if k is

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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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  9. If the tangent to the ellipse x^2 +4y^2=16 at the point 0 sanormal to ...

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  10. An ellipse having foci (3,1) and (1, 1) passes through the point (1, 3...

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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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  13. If the normal to the rectangular hyperbola xy = c^2 at the point 't' m...

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  14. Equation (2 + lambda)x^2-2 lambdaxy+(lambda -1)y^2-4x-2=0 represents a...

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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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