A(at_(1)^(2),2at_(1))" and "B(at_(2)^(2),2at_(2))

Find the slope of a line passing through the following point: (at_(1)^(2),2at_(1)) and (at_(2)^(2),2at_(2))

The tangent to the parabola y^(2)=4ax at P(at_(1)^(2), 2at_(1))" and Q"(at_(2)^(2), 2at_(2)) intersect on its axis, them

If P(at_(1)^(2), 2at_(1))" and Q(at_(2)^(2), 2at_(2)) are two points on the parabola at y^(2)=4ax , then that area of the triangle formed by the tangents at P and Q and the chord PQ, is

The tangent to the parabola y^(2)=4ax at P(at_(1)^(2), 2at_(1))" and Q"(at_(2)^(2), 2at_(2)) intersect on its axis, them

If P(at_(1)^(2), 2at_(1))" and Q(at_(2)^(2), 2at_(2)) are two points on the parabola at y^(2)=4ax , then that area of the triangle formed by the tangents at P and Q and the chord PQ, 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.

Find the distance between the points (at_(1)^(2), 2 at_(1)) and (at_(2)^(2), 2 at_(2)) , where t_(1) and t_(2) are the roots of the equation x^(2)-2sqrt(3)x+2=0 and a gt 0 .

Find the distance between the points (at_(1)^(2), 2 at_(1)) and (at_(2)^(2), 2 at_(2)) , where t_(1) and t_(2) are the roots of the equation x^(2)-2sqrt(3)x+2=0 and a gt 0 .

Find the distance between the points (at_(1)^(2), 2 at_(1)) and (at_(2)^(2), 2 at_(2)) , where t_(1) and t_(2) are the roots of the equation x^(2)-2sqrt(3)x+2=0 and a gt 0 .

Find the distance between the points (at_(1)^(2), 2 at_(1)) and (at_(2)^(2), 2 at_(2)) , where t_(1) and t_(2) are the roots of the equation x^(2)-2sqrt(3)x+2=0 and a gt 0 .