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Byju's Answer
Standard XII
Mathematics
Proof of LaGrange's Mean Value theorem
75. Find area...
Question
75. Find area bounded by tangents at the intersection of curve with x-axis and curve itself where curve is y = (x-1).(3-x)
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Similar questions
Q.
The area bounded by curve
y
=
x
2
−
1
and tangents to it at
(
2
,
3
)
and
y
−
axis is
Q.
A curve passing through point
(
1
,
2
)
possessing the following property; the segment of the tangent between the point of tangency & the x-axis is bisected at the point of intersection with the y-axis. If
A
is area bounded by the curve & line
x
=
1
then
9
A
2
is equal to
Q.
The area bounded by the curve
x
2
+
2
x
+
y
−
3
=
0
,
the
x
−
axis and the tangent at the point, where it meets the
y
−
axis is
Q.
The area of the region bounded by the curve
y
=
tan
x
, the tangent to the curve at
x
=
π
4
and the
x
-axis is
Q.
The area bounded by tangent, normal and x-axis at
P
(
2
,
4
)
to the curve
y
=
x
2
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Proof of LaGrange's Mean Value theorem
Standard XII Mathematics
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