If `(x_(1),y_(1))` and `(x_(2),y_(2))` are the end points of focal chord of the parabola `y^(2)=4ax` then `4x_(1)x_(2)+y_(1)y_(2)`

If (x _(a), y_(1))and (x_(2), (y_(2)) are the end points of a focal chord of the parabola y ^(2) = 5x, then 4 x _(1) x_(2)+y_(1)y_(2)=

If (x_(1),y_(1)),(x_(2),y_(2)) are the extremities of a focal chord of the parabola y^(2)=16x then 4x_(1)x_(2)+y_(1)y_(2)=

If (x_(1) , y_(1)) " and " (x_(2), y_(2)) are the ends of a focal chord of the parabola y^(2) = 4ax , evaluate : x_(1) x_(2) + y_(1) y_(2) .

If (x_(1) , y_(1)) " and " (x_(2), y_(2)) are ends of a focal chord of parabola 3y^(2) = 4x , " then " x_(1) x_(2) + y_(1) y_(2) =

If (x_(1),y_(1)) & (x_(2),y_(2)) are the extremities of the focal chord of parabola y^(2)=4ax then y_(1)y_(2)=

If (x_(1),y_(1)) and (x_(2),y_(2)) are ends of a focal chord of y^(2)=4ax, then values of x_(1)x_(2) and y_(1)y_(2)are(A)a^(2),a^(2)(B)2a^(2),a^(2)(C)a^(2),-4a^(2) (D) a,a

The locus of the middle points of the focal chords of the parabola,y^(2)=4x is:

If the normals at two points (x_(1),y_(1)) and (x_(2),y_(2)) of the parabola y^(2)=4x meets again on the parabola, where x_(1)+x_(2)=8 then |y_(1)-y_(2)| is equal to

If t_(1) and t_(2) are the ends of a focal chord of the parabola y^(2)=4ax, then prove that the roots of the equation t_(1)x^(2)+ax+t_(2)=0 are real.

If A (x_(1) , y_(1)) " and B" (x_(2), y_(2)) are point on y^(2) = 4ax , then slope of AB is