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Byju's Answer
Standard XII
Mathematics
Intercept of a Straight Line
The length of...
Question
The length of the intercept on y-axis cut off by the parabola,
y
2
−
5
y
=
3
x
−
6
is ?
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Solution
y
2
−
5
y
=
3
x
−
6
For point of intersection with
Y
−
axis i.e.
X
=
0
y
2
−
5
y
=
3
×
0
−
6
y
2
−
5
y
+
6
=
0
(
y
−
2
)
(
y
−
3
)
=
0
y
=
2
,
3
A
(
0
,
y
1
)
B
(
0
,
y
2
)
∴
A
B
=
|
y
1
−
y
2
|
=
|
3
−
2
|
=
1
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