Example : 23 10 Find the equation of the straight line passing through the points. Catizat) and (at), zats) , ) A = (ati, zat, lat ² zat) , Let A = A 2
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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 required equation.
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