[" If "A(t_(1))" and "B(t_(2))" are points on "y^(2)=4ax," then slope of "AB" ."],[" is "]

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

If A(at_(1)^(2),2at_(1)) and B(t_(2)^(2),2at_(2)) be the two points on the parabola y^(2)=4ax and AB cuts the x -axis at C sucrabola y^(2)=4ax and AC=3:1. show that t_(2)=-2t_(1) and if AB makes an angle of 90^(@) at the vertex,then find the coordinates of A and B.

If the tangents at t_(1) and t_(2) on y^(2) = 4ax are at right angles if

If the tangents at t_(1) and t_(2) on y^(2) = 4ax are at right angles if

Let P(at_(1)^(2),2at_(1)) and Q(at_(2)^(@),2at_(2)) are two points on the parabola y^(2)=4ax Then,the equation of chord is y(t_(1)+t_(2))=2x+2at_(1)t_(2)

P(t_(1))andQ(t_(2)) are points t_(1)andt_(2) on the parabola y^(2)=4ax . The normals at P and Q meet on the parabola. Show that the middle point of PQ lies on the parabola y^(2)=2a(x+2a) .

P(t_(1))andQ(t_(2)) are points t_(1)andt_(2) on the parabola y^(2)=4ax . The normals at P and Q meet on the parabola. Show that the middle point of PQ lies on the parabola y^(2)=2a(x+2a) .

If t_(1) and t_(2) are the extremities of any focal chord of y^(2) = 4ax " then " t_(1)t_(2) is _____

P(t_(1)) and Q(t_(2)) are the point t_(1) and t_(2) on the parabola y^(2)=4ax. The normals at P and Q meet on the parabola.Show that the middle point PQ lies on the parabola y^(2)=2a(x+2a)

Consider two points A(at_(1)^(2.2)at_(1)) and B(at_(2)^(2)*at_(2)) lying on the parabola y^(2)=4ax. If the line joining the points A and B passes through the point P(b,o). then t_(1)t_(2) is equal to: