The foci of an ellipse with its centre as the origin are (`!=`3, 0) and e = 1/2. Find the length of the minor axis and the equation of the clipse.

The centre of a circle is the point (3, 2) and it makes an intercept of length 5 units on the X-axis. Find the equation of the circle.

Find the equation of the directrices of the ellipse x^2/25+y^2/9=1 .

Two extremities of a diameter of a circle are (-4, 3), (12, -1). Find the length of the chord made by the circle on the Y -axis.

The length of the edge of a cube is 1.2 cm. Find its volume.

Find the general solution of the trigonometric equation 2 sin theta+1=0

Find the equation of the ellipse referred to its centre as the origin and major axis as the X-axis give that (iii) major axis is of length 26 and foci are ( != 12, 0)

A parabola has it vertex at the origin, axis along the X-axis and it passes through the point (4, -8). Find its equation.

Find the eccentricity,coordinates of foci,length of the major axis and latus-rectum of the ellipse x^2/25+y^2/16=1 .

Find the equation of the ellipse whose vertices are (0,+-6) and eccentricty is 1/3.