If a normal to a parabola `y^2 =4ax` makes an angle `phi` with its axis, then it will cut the curve again at an angle

If the normal chhord of the parabola y^(2)=4x makes an angle 45^(@) with the axis of the parabola, then its length, is

A normal chord of the parabola y^2=4ax subtends a right angle at the vertex if its slope is

If the normals to the parabola y^2=4a x at P meets the curve again at Q and if P Q and the normal at Q make angle alpha and beta , respectively, with the x-axis, then t a nalpha(tanalpha+tanbeta) has the value equal to 0 (b) -2 (c) -1/2 (d) -1

If two normals to a parabola y^2 = 4ax intersect at right angles then the chord joining their feet pass through a fixed point whose co-ordinates are:

Statement 1: The length of focal chord of a parabola y^2=8x making on an angle of 60^0 with the x-axis is 32. Statement 2: The length of focal chord of a parabola y^2=4a x making an angle with the x-axis is 4acos e c^2alpha

If the normal to the curve x^(2//3)+y^(2//3)=a^(2//3) makes an angle theta with the x -axis then the slope of the normal is ……….

The tangent PT and the normal PN to the parabola y^2=4ax at a point P on it meet its axis at points T and N, respectively. The locus of the centroid of the triangle PTN is a parabola whose:

If the normal to the parabola y^2=4a x at point t_1 cuts the parabola again at point t_2 , then prove that t_2 2geq8.

If a focal chord of y^(2)=4ax makes an angle alphain[pi//4,pi//2] with the positive direction of the x-axis, then find the maximum length of this focal shord.