If `y + b = m_(1)(x + a)` and `y + b = m_(2)(x+a)` are two tangents to the parabola `y^(2) =4ax`, then

If y+b=m_1(x+a) and y+b=m_2(x+a) are two tangents to the paraabola y^2=4ax then

Statement-1: y+b=m_(1) (x+a) and y+b=m_(2)(x+a) are perpendicular tangents to the parabola y^(2)=4ax . Statement-2: The locus of the point of intersection of perpendicular tangents to a parabola is its directrix.

If the line px + qy =1m is a tangent to the parabola y^(2) =4ax, then

The common tangent to the parabola y^2=4ax and x^2=4ay is

If y+3=m_1(x+2) and y+3=m_2(x+2) are two tangents to the parabola y_2=8x , then (a) m_1+m_2=0 (b) m_1+m_2=-1 (c) m_1+m_2=1 (d) none of these

If y=m_1x+c and y=m_2x+c are two tangents to the parabola y^2+4a(x+c)=0 , then m_1+m_2=0 (b) 1+m_1+m_2=0 m_1m_2-1=0 (d) 1+m_1m_2=0

If y=m_1x+c and y=m_2x+c are two tangents to the parabola y^2+4a(x+a)=0 , then (a) m_1+m_2=0 (b) 1+m_1+m_2=0 (c) m_1m_2-1=0 (d) 1+m_1m_2=0

If (x_(1),y_(1)) and (x_(2),y_(2)) are the ends of a focal chord of the parabola y^(2) = 4ax then show that x_(1)x_(2)=a^(2),y_(1)y_(2)= -4a^(2)

If the line y=m x+1 is tangent to the parabola y^2=4x , then find the value of m .

If the line y=m x+1 is tangent to the parabola y^2=4x , then find the value of mdot