If the tangents to the parabola `y^(2)=4ax` at `(x_1,y_1)` and `(x_2,y_2)` meet on the axis then `x_1y_1+x_2y_2=`

If the tangents to the parabola y^2=4ax at the points (x_1,y_1) and ( (x_2,y_2) meet at the point (x_3,y_3) then

If the tangents to the parabola y^(2)=4ax at (x_(1),y_(1)),(x_(2),y_(2)) intersect at (x_(3),y_(3)) then

The tangent to the parabola y^(2)=4(x-1) at (5,4) meets the line x+y=3 at the point

The coordinates of the ends of a focal chord of the parabola y^(2)=4ax are (x_(1),y_(1)) and (x_(2),y_(2)). Then find the value of x_(1)x_(2)+y_(1)y_(2)

The tangents to the parabola y^(2)=4x at the points (1,2) and (4,4) meet on which of the following lines?

Show that the equation of the chord of the parabola y^2 = 4ax through the points (x_1, y_1) and (x_2, y_2) on it is : (y-y_1) (y-y_2) = y^2 - 4ax

If the ends of a focal chord of the parabola y^(2) = 8x are (x_(1), y_(1)) and (x_(2), y_(2)) , then x_(1)x_(2) + y_(1)y_(2) is equal to

y=2x+3 is a Tangent to the parabola y^(2)=4a(x-(1)/(3)) then 3(a-5)=

The tangents to the circle x^(2)+y^(2)-4x+2y+k=0 at (1,1) is x-2y+1=0 then k=

y=x is tangent to the parabola y=ax^(2)+c . If (1,1) is the point of contact, then a is