A particle has an angular speed of 3 rad/s and the axis of rotation passes through the points `(1,1,2)a n d(1,2,-2)dot` Find the velocity of the particle at point `P(3,6,4)dot`

Find the of the hyperbola passing through the points (2, 1) and (4,3)

A rigid body is spinning about a fixed point (3,-2,-1) with an angular velocity of 4rad/s ,the axis of rotation being in the direction of (1,2,-2). Find the velocity of the particle at point (4,1,1).

Find the equation of the plane passing through the points (2,1,2) and (1,3,-2) and parallel to the x-axis.

Find the equation of the circle which passes through the points (3,4),(3,-6) and (1,2).

A rigid body is spiing about a fixed piont (3,-2,-1) with angular veclocity of 4 radd/sec, the axis of rotation being the direction of (1,2,-2) then the velocity of the particle at the point (4,1,1) is (A) 4/3(1,-4,10) (B) 4/3(4,-10,1) (C) 4/3(10,-4,1) (D) 4/3(10,4,1)

Find the equation of the plane passes through the point (2,3,-4) and (1,-1,3) and parallel to x-axis.

Find the vector equation of the line passing thought the points (-1,\ 0,\ 2)a n d\ (3,\ 4,\ 6)dot

Find the equation of the circle which touches the axis of x and passes through the two points (1,-2) and (3,-4)

Find the equation of the plane through the points P(1,\ 1,\ 0),\ Q(1,\ 2,\ 1)a n d\ R(-2,\ 2,\ -1)dot