Find the equation of the straight lines passing through the following pair of points: (at1, a/t1) and (at2, a/t2)

Question

Find the equation of the straight lines passing through the following pair of points: \(\Big(at_1,\frac{1}{t_1}\Big)\) and \(\Big(at_2,\frac{a}{t_2}\Big)\)

Answer 1

Given: ( x₁,y₁)\(\Big(at_1,\frac{1}{t_1}\Big)\) ,(x₂,y₂) = \(\Big(at_2,\frac{a}{t_2}\Big)\)

Concept Used: 

The equation of the line passing through the two points ( x₁, y₁) and ( x₂, y₂). 

To find: 

The equation of straight line passing through a pair of points. 

Explanation: 

So, the equation of the line passing through the two points is 

The formula used:

Hence, the equation of the line is x+t₂t₁ y = a(t₂+t₁)