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JEE Questions for Maths Applications Of Derivatives Quiz 16 - MCQExams.com
JEE
Maths
Applications Of Derivatives
Quiz 16
For the function f(
x
) = e
x
, a = 0, b = 1, the value of c in mean value theorem will be
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0%
log x
0%
log (e – 1)
0%
0
0%
1
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0%
8.00
0%
5.25
0%
4.00
0%
6.25
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0%
–1
0%
–2
0%
1
0%
2
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0%
0
0%
–1
0%
1
0%
2
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0%
0%
2)
0%
0%
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0%
0%
2)
0%
0%
None of the above
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2)
0%
0%
None of these
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0%
2)
0%
0%
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0%
0%
7
0%
4
0%
2
A man height 1.8 metre is moving from a lamp post at the rate of 1.2 m/sec. If the height of the lamp post be 4.5 metre, then the rate at which the shadow of the man is lengthening is
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0.4 m/sec
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0.8 m/sec
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1.2 m/sec
0%
None of these
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0%
2)
0%
0%
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Maxima when n = –2, –4, –6,…
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Maxima when n = –1, –3, –5,…
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Minima when n = 0,2,4,…
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Minima when n = 1,3,5,…
0%
2 and 3
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0%
0%
2)
0%
0%
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0%
0%
2)
0%
0%
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0%
0%
2)
0%
0%
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0%
-2
0%
-1
0%
0
0%
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0%
0%
2)
0%
0%
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0%
0%
2)
0%
0%
0%
2,3,4
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0%
2)
0%
0%
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Local maxima at x = 1 + ln 2 and minima at x = e
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Local maxima at x = 1 and local minima at x = 2
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No local maxima
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No local minima
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1 and 2
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f(x) is increasing on [–1, 2]
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f(x) is continuous on [–1, 3]
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f’(does not exist
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f’(x) has the maximum value at x = 2
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All
If the line a
x
+ by + c = 0 is a normal to the curve
x
y = 1
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a > 0, b > 0
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a > 0, b < 0
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a < 0, b < 0
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a < 0, b < 0
0%
2 and 3
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Statement 1 is true, Statement 2 is true; statement 2 is a correct explanation for statement 1.
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Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1
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Statement 1 is true, statement 2 is false
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Statement 1 is false, statement 2 is true
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Statement 1 is true, Statement 2 is true; statement 2 is a correct explanation for statement 1.
0%
Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1
0%
Statement 1 is true, statement 2 is false
0%
Statement 1 is false, statement 2 is true
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