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A DAS GUPTA-Ellipse and Hyberbola-EXERCISE
- The hyperbola x^2/a^2 - y^2/a^2 - y^2/b^2 = 1 passes through the point...
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- P N is the ordinate of any point P on the hyperbola (x^2)/(a^2)-(y^2)/...
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- A triangle has its vertices on a rectangular hyperbola. Prove that the...
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- Prove that the product of the perpendicular from the foci on any tange...
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- Prove that if any tangent to the ellipse is cut by the tangents at the...
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- A tangent to the ellipse x^2+4y^2=4 meets the ellipse x^2+2y^2=6 at P&...
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- Find the equations of the tangents from the point (2,2) to the ellipse...
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- If the normal at an end of a latus rectaum of an ellipse passes thr...
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- The locus of the point of intersection of tangents to the ellipse x^(2...
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- If the normal at any point P on the ellipse cuts the major and mirror ...
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- Find the locus of the foot of the perpendicular drawn from the cent...
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- A variable straight line of slope 4 intersects the hyperbola xy=1 at t...
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- 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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