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A DAS GUPTA-Ellipse and Hyberbola-EXERCISE
- Prove that the locus of the middle-points of the chords of the hyperbo...
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- A normal to the hyperbola x^2-4y^2=4 meets the x and y axes at A and B...
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- A circle cuts two perpendicular lines so that each intercept is of giv...
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- A circle with centre (3alpha, 3beta) and of variable radius cuts the ...
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- The locus of the point of intersection of the tangents at the end-poin...
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- Find the locus of the-mid points of the chords of the circle x^2 + y^2...
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- If alpha and beta be the angles subtended by the major axis to an elli...
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- The equation x^2-3xy+y^2+10x-10y+21=0represents a having its centre at...
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- The eccentricity of a rectangular hyperbola, is
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- Equation of the ellipse whose focus is (6,7) directrix is x + y + 2 = ...
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- The latus rectum of an ellipse is 10 and the minor axis Is equal to th...
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- Find the equation of an ellipse hose axes lie along the coordinate ...
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- if in a hyperbola the eccentricity is sqrt3 and the distance between t...
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- Show that the equation x^2-2y^2-2x+8y-1=0 represents a hyperbola. Find...
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- Find the equations of normal to the parabola y^2=4a x at the ends of t...
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- Let P be a variable point on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 wit...
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- The number of maximum normals that can be drawn from any point to an e...
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- If a tangent to the ellipse x^2/a^2+y^2/b^2=1, whose centre is C, me...
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- Find the length of the chord of the ellipse x^2/25+y^2/16=1, whose mid...
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- If the line lx+my+n=0 touches the hyperbola (x^(2))/(a^(2))-(y^(2))/(b...
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