Question

find the equation of the line passing through the points (at1^2 , 2at2

Answer 1

Answer:

Given points are (at1^2, 2at1 ) and (at2^2, 2at2 ) Then,

Step-by-step explanation:

Given points are (at

1

2

,2at

1

) and (at

2

2

,2at

2

)

Then, equation of line is

y−2at

1

=

at

2

2

−at

1

2

2at

2

−2at

1

(x−at

1

2

)

⇒(y−2at

1

)×(t

1

+t

2

)=2x−2at

1

2

⇒y(t

1

+t

2

)−2at

1

(t

1

+t

2

)=2x−2at

1

2

⇒y(t

1

+t

2

)−2at

1

t

2

−2x=0 is the