" (g) "y^(2)=4ax" के बिन्दु "(x_(1),y_(1))" पर। "

Show that the equation of tangent to the parabola y^(2) = 4ax " at " (x_(1), y_(1)) " is " y y_(1)= 2a(x + x_(1))

Prove that the area of triangle formed by the tangents to the parabola y^(2)=4ax from the point (x_(1),y_(1)) and the chord of contact is 1/(2a)(y_(1)^(2)-4ax_(1))^(3//2) sq. units.

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)

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

Show that the equation of the tangent to the parabola y^(2) = 4 ax at (x_(1), y_(1)) is y y_(1) = 2a(x + x_(1)) .

If the coordinates of the ends of a focal chord of the parabola y^(2)=4ax are (x_(1),y_(1)) "and" (x_(1),y_(2)) , then prove that x_(1)x_(2)=a^(2),y_(1)y_(2)=4a^(2) .

TP and TQ are tangents to y^(2)=4x at (x_(1),y_(1)) and (x_(2),y_(2)) respectively (y_(1),y_(2)>0) .If (x_(1))/(x_(2))=16 ; then locus of T is y^(2)=ax ,then a is

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