The length of the focal chord which makes an angle `theta` with the positive direction of x-axis is `4acosec^2theta`

The equation of a tangent to the parabola, x^(2) = 8y , which makes an angle theta with the positive direction of x-axis, is:

Find the equation of the straight line which passes through the point (1, 2) and makes an angle theta with the positive direction of x-axis where costheta = - 1/3 .

The tangent to the curve x^(2) = y at (1,1) makes an angle theta with the positive direction of x-axis. Which one of the following is correct ?

If O be the origin and OP=r and OP makes an angle theta with the positive direction of x-axis and lies in the XY plane find the coordinates of P.

Find the equation of the straight line which makes an angle of 15^(@) with the positive direction of x-axis and which cuts and intercept of length 4 on then negative direction of y-axis.

The equation of the straight line which makes angle of 15^(@) with the positive direction of x-axis and which cuts an intercept of length 4 on the negative direction of y-axis, is

Let PM be the perpendicular from the point P(1, 2, 3) to XY-plane. If OP makes an angle theta with the positive direction of the Z-axies and OM makes an angle Phi with the positive direction of X-axis, where O is the origin, theta and Phi are acute angles, then

Let PM be the perpendicular from the point P(1, 2, 3) to XY-plane. If OP makes an angle theta with the positive direction of the Z-axies and OM makes an angle Phi with the positive direction of X-axis, where O is the origin, then find theta and Phi .