Home
Class 11
MATHS
If t1a n dt2 are the ends of a focal cho...

If `t_1a n dt_2` are the ends of a focal chord of the parabola `y^2=4a x ,` then prove that the roots of the equation `t_1x^2+a x+t_2=0` are real.

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

If 't_1' and 't_2' be the ends of a focal chord of the parabola y^2=4ax then t_1t_2 is equal to

If t is the parameter for one end of a focal chord of the parabola y^(2)=4ax, then its length is

If t is the parameter for one end of a focal chord of the parabola y^(2)=4ax, then its length is :

If (t^(2),2t) is one end ofa focal chord of the parabola,y^(2)=4x then the length of the focal chord will be:

If the point ( at^2,2at ) be the extremity of a focal chord of parabola y^2=4ax then show that the length of the focal chord is a(t+t/1)^2 .

If t is the parameter of one end of a focal chord of the parabola y^(2) = 4ax , show that the length of this focal chord is (t + (1)/(t))^(2) .

If P(2, 1) is one end of focal chord PQ of the parabola x^(2)+2y- 2x-2=0 then the slope of the normal at Q is

If P(2,1) is one end of focal chord PQ of the parabola x^(2)+2y-2x-2=0 then the slope of the normal at Q is

If the point (at^(2),2at) be the extremity of a focal chord of parabola y^(2)=4ax then show that the length of the focal chord is a(t+(1)/(t))^(2)