If `a_1x + by + c = 0` and `a_2x + by + c = 0` are two tangents to the parabola `y^2=8a (x-2a)`, then

If a_(1)x+by+c=0 and a_(2)x+by+c=0 are two tangents to the parabola y^(2)=8x(x-2a), then

If y=m_1x+c and y=m_2x+c are two tangents to the parabola y^2+4a(x+a)=0 , then

If y=m_1x+c and y=m_2x+c are two tangents to the parabola y^2+4a(x+c)=0 , then

a_1x+b_1y+c_1=0" and "a_2x+b_@y+c_2=0 are……..equations.

If a_1x^2 + b_1 x + c_1 = 0 and a_2x^2 + b_2 x + c_2 = 0 has a common root, then the common root 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 two lines a_1x + b_1y + c_1 = 0 and a_2x + b_2y + c_2 = 0 cut the co-ordinates axes in concyclic points. Prove that a_1a_2 = b_1b_2

For two linear equations , a_1x + b_1y + c_1=0 and a_2x + b_2y + c_2 = 0 , the condition (a_1)/(a_2)=(b_1)/(b_2)=(c_1)/(c_2) is for.

a_1x+b_1y+c_1=0 and a_2x+b_2y+c_2=0 has no solution if _________.