find the equation of the straight line passing through the points (at1 sq2,2at1),(at2sq2,2at2)
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1
Answer:
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 required equation.
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