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

If there exists at least one point on the circle x^(2)+y^(2)=a^(2) from which two perpendicular tangents can be drawn to parabola y^(2)=2x , then find the values of a.

If there exists at least one point on the circle x^(2)+y^(2)=a^(2) from which two perpendicular tangents can be drawn to parabola y^(2)=2x , then find the values of a.

If there exists at least one point on the circle x^(2)+y^(2)=a^(2) from which two perpendicular tangents can be drawn to parabola y^(2)=2x , then find the values of a.

If there exists at least one point on the circle x^(2)+y^(2)=a^(2) from which two perpendicular tangents can be drawn to parabola y^(2)=2x , then find the values of a.

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 (9,0), a line perpendicular to the tangent at a variable point P on the parabola y^(2)-8x+16=0, meeting the focal radii of P in point R. If locus of R has it's centre as (alpha,beta),then | alpha-beta| is

If two perpendicular tangents are drawn from a point (alpha,beta) to the hyperbola x^(2) - y^(2) = 16 , then the locus of (alpha, beta) is

Let (alpha,beta) be a point from which two perpendicular tangents can be drawn to the ellipse 4x^(2)+5y^(2)=20 . If F=4alpha+3beta , then

Let ( alpha , beta ) be a point from which two perpendicular tangents can be drawn to the ellipse 4x^(2)+5y^(2)=20 . If F=4alpha+3beta , then