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

The length of the focal chord which makes an angle theta with the positive direction of x -axis is 4a cos ec^(2)theta

Prove that the length of any chord of the parabola y^(2) = 4 ax passing through the vertex and making an angle theta with the positive direction of the x-axic is 4a cosec theta cot theta

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

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

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

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 ?

(i) Find the equation of line passing through (2,2) and makes an angle of 135^(@) from positive direction of X -axis. (ii) Find the equation of a line passing through the point (2,1) and makes an angle 'theta' from the positive direction of X -axis where cos theta=-(1)/(3) .