Conic Section T...

If r is a parameter then x = a(t + 1/t) and y = b(t - 1/t) represents

The locus of the equation x² - y² = 0, is

Length of the straight line x - 3y = 1 intercepted by the hyperbola x² + 4y² = 1 is

For an ellipse with eccentricity 1/2 the centre is at the origin. If one directrix is x = 4, then the equation of the ellipse is

If O is the origin and A is a point on the curve y² = 4x. Then, the locus of the mid - point of OA, is

A hyperbola, having the transverse axis of length 2 sin 0, is confocal with the ellipse 3x² + y² = 12 then, its equation is

Equation of the parabola with its vertex at (1, 1) and focus (3, 1) is

The curve described para metrically by x = t² + 2t - 1, y = 3t + 5 represents

The equation of an ellipse whose eccentricity is 1/ 2 and the vertices are (4, 0) and (10, 0), is