Write the equations of the tangents and normals at the points `(alpha, beta)` of the parabola `y^2 =12x`, where `|alpha|=|beta|`.

If two perpendicular tangents can be drawn from the point (alpha,beta) to the hyperbola x^(2)-y^(2)=a^(2) then (alpha,beta) lies on

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

If two tangents drawn from the point (alpha,beta) to the parabola y^2=4x are such that the slope of one tangent is double of the other, then prove that alpha=2/9beta^2dot

If two tangents drawn from the point (alpha,beta) to the parabola y^2=4x are such that the slope of one tangent is double of the other, then prove that alpha=2/9beta^2 .

If two tangents drawn from the point (alpha,beta) to the parabola y^(2)=4x are such that the slope of one tangent is double of the other,then prove that alpha=(2)/(9)beta^(2).

If two tangents drawn from the point (alpha,beta) to the parabola y^2=4x are such that the slope of one tangent is double of the other, then prove that alpha=2/9beta^2dot

If two tangents drawn from the point (alpha,beta) to the parabola y^2=4x are such that the slope of one tangent is double of the other, then prove that alpha=2/9beta^2dot

x+y-ln(x+y)=2x+5 has a vertical tangent at the point (alpha,beta) then alpha+beta is equal to

x+y-ln(x+y)=2x+5 has a vertical tangent at the point (alpha,beta) then alpha+beta is equal to

x+y-ln(x+y)=2x+5 has a vertical tangent at the point (alpha,beta) then alpha+beta is equal to