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JEE Questions for Maths Definite Integrals Quiz 11 - MCQExams.com
JEE
Maths
Definite Integrals
Quiz 11
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Explanation
Applying integration by parts
The area enclosed by the parabola
x
2
= 4by and its latusrectum is 8/3 then b > 0 is equal to
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√2
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4
The parabolas y
2
= 4
x
and
x
2
= 4y divide the square region bounded the lines
x
= 4, y = 4 and the coordinate axes. If S
1 : S
2
: S
3
are respectively the areas of these parts numered from top to bottom then S
1 : S
2
: S
3
` is
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1 : 2 : 3
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2 : 1 : 2
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3 : 2 : 3
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1 : 1 : 1
The area enclosed between the curves y = log
e
(
x
+ e) and the coordinate axes is
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4
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2
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3
Ratio of the area cut off by a parabola y
2
= 32
x
and line
x
= 8 corresponding rectangle contained the area formed by above curves region is ..........................
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3
The area bounded by |
x
| - |y| = 2 is
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4 Sq. unit
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2 Sq. unit
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8 Sq. unit
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16 Sq. unit
The area bounded by the curves
x
2
= y and 2
x
+ y - 8 = 0 and y - axis n the second quadrant is ..........................
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9 sq. unit
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18 sq. unit
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80/3 sq. unit
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36 sq. unit
The area common region of the circle
x
2
+ y
2
= 4 and
x
2
+ (y - 2)
2
= 4 is
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The area enclosed between the curves y = k
x
2
and
x
2
= ky
2
(K >is 12Sq. unit. The value of 'K' is
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6
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1/6
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12
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1/12
The area enclosed by y
2
= 32
x
and y = m
x
(m >is 8/3 then m is
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1/4
The area of region bounded by the circle
x
2
+ y
2
= 12 and parabola
x
2
= y is
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