The parabolas `y=x^2-9" and "y=kx^2` intersect at points A and B. If length AB is equal to 2a, then the value of k is:

The parabolas y=x^2-9 and y=lamdax^2 intersect at points A and B. If length of AB is equal to 2a and if lamda a^2+mu=a^2 , then the value of mu is

The parabolas y=x^2-9 and y=lamdax^2 intersect at points A and B. If length of AB is equal to 2a and if lamda a^2+mu=a^2 , then the value of mu is

The parabola y^2 = kx makes an intercept of length 4 on the line x-2y=1 then k is

y^(2)=4xandy^(2)=-8(x-a) intersect at points A and C. Points O(0,0), A,B (a,0), and c are concyclic. Tangents to the parabola y^(2)=4x at A and C intersect at point D and tangents to the parabola y^(2)=-8(x-a) intersect at point E. Then the area of quadrilateral DAEC is

If the line x + y = 1 touches the parabola y^(2) = kx , then the value of k is

The parabola y^(2)=kx makes an intercept of length 4 on the line x-2y=1 then k is

The line 3x+6y=k intersects the curve 2x^(2)+3y^(2)=1 at points A and B .The circle on AB as diameter passes through the origin. Then the value of k^(2) is

If the equations kx - 2y = 3 and 3x + y = 5 represent two intersecting lines at unique point, then the value of k is ……………. .