If `y=a+be^(-4x)` then `y_(2)+4y_(1)=`

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 y=e^(2x)(ax+b), show that y_(2)-4y_(1)+4y=0

If y=(x-3)/(x-4)," then "(y-1)y_(2)=

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

If (x+y) = 12 and (x-y) = 4 then (2x - 4y) = ?

If y=mx+1 and y^(2)=4x+1 then m=

If a parabola y^(2)=4ax followed by x_(1)x_(2)=a^(2),y_(1)y_(2)=-4a^(2) then (x_(1),y_(1)),(x_(2),y_(2)) are

If the normals at (x_(i),y_(i)) i=1,2,3,4 to the rectangular hyperbola xy=2 meet at the point (3,4) then (A) x_(1)+x_(2)+x_(3)+x_(4)=3 (B) y_(1)+y_(2)+y_(3)+y_(4)=4 (C) y_(1)y_(2)y_(3)y_(4)=4 (D) x_(1)x_(2)x_(3)x_(4)=-4