Find the locus of center of circle of radius 2 units, if intercept cut on the x-axis is twice of intercept cut on the y-axis by the circle.

Find the locus of the center of the circle which cuts off intercepts of lengths 2aa n d2b from the x-and the y-axis, respectively.

Find the equation of the line perpendicular to x-axis and having intercept -2 on x-axis.

Find the locus of a point which moves such thet its distance from the x axis is twice the distance from y axis.

Find the intercepts cut off by the plane 2x+y-z=5.

Find the equation of a circle of radius 5 whose centre lies on x-axis and which passes through the point (2,3) .

Prove that the locus of the center of a circle, which intercepts a chord of given length 2a on the axis of x and passes through a given point on the axis of y distant b from the origin, is a parabola.

Find the equation of the plane with intercept 3 on the y-axis and parallel to ZOX plane.

Find the equation of a line whose inclination is 30^@ and making an intercept -3 on the Y axis.

Find the equation of a line whose inclination is 30^(@) and making intercept -3 on the y axis.

Find the equation of a line whose inclination is 30^(@) and making intercept -3 on the y axis.