For any particle the equation of its S.H.M. is 3f + 12x = 0, find out its angular frequency.

The equation of motion of a particle executing SHM is 3(d^(2)x)/(dt^(2))=27x=0 , what will be the angular frequency of the SHM?

Equation of a line is 3x - 4y + 10 = 0 Find its x- and y-intercepts

If the mass of a particle executing SHM is m and its angular frequency is omega , then time period of its oscillation will be

If the mass of a particle executing SHM is m and its angular frequency is omega , then the force constant of that SHM will be

The coordinates of the focus of an ellipse are (1,2) and eccentricity is (1)/(2) , the equation of its directrix is 3x + 4y - 5 = 0 . Find the equation of the ellipse.