Let from the point `P(alpha,beta)` ,tangents are drawn to the parabola `y^2=4x` ,including the angle `45^(@)` to each other. Then locus of `P(alpha,beta)` is

From the point (alpha,beta) two perpendicular tangents are drawn to the parabola (x-7)^(2)=8y Then find the value of beta

From a point P tangents are drawn to the parabola y^2=4ax . If the angle between them is (pi)/(3) then locus of P is :

From a point P, two tangents are drawn to the parabola y^(2) = 4ax . If the slope of one tagents is twice the slope of other, the locus of P is

Let P be a variable point From P PQ and PR are tangents drawn to the parabola y^(2)=4x if /_QPR is always 45^(@) then locus of P is

Let P be a variable point.From P.PQ and PR are tangents drawn to the parabola y^(2)=4x if /_QPR is always 45^(@) then locus of P .

Find the condition that the chord of contact of tangents from the point (alpha, beta) to the circle x^2 + y^2 = a^2 should subtend a right angle at the centre. Hence find the locus of (alpha, beta) .

Two tangents are drawn from a point (-4, 3) to the parabola y^(2)=16x . If alpha is the angle between them, then the value of cos alpha is