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JEE Questions for Maths Differentiation Quiz 12 - MCQExams.com
JEE
Maths
Differentiation
Quiz 12
For the curve y
n
= a
n - 1
x, the subnormal at any point is constant. The value of n must be
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0%
2
0%
3
0%
0
0%
1
The abscissae of the points of curve y = x(x –(x –: where tangents are parallel to x-axis is obtained as
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0%
2)
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0%
The length of sub-tangent to the curve x
2
y
2
= a
4
at the point (—a, a) is
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3a
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2a
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a
0%
4a
he triangle formed by the tangent to the curve f(x) = x
2
+ bx – b at the point (1,and the co-ordinate axes, lies in the first quad rant. If its area is 2 then the value of b i
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–1
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3
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–3
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1
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2)
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0%
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0%
2)
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None of these
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A local maximum
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No local maximum
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A local minimum
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No extremum
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0%
2)
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0%
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0%
2)
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0%
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It is monotonically decreasing everywhere
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It is monotonically decreasing only in (0, ∞)
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It is monotonically increasing everywhere
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It is monotonically increasing only in (–∞, 0)
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Increasing
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Decreasing
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Even
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Odd
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both a and d
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0%
2)
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0%
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0%
2)
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0%
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–2, 1
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–1, 1/2
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1, –6
0%
–1, 6
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–1
0%
1
0%
0
0%
2
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6
0%
7
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4
0%
8
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5
0%
10
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0
0%
15
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0%
2)
0%
0%
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0%
2)
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0%
If log
e
5 = 1.609, then the approximate value of log 5.1 is
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1.611
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1.701
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1.809
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1.629
f f(x) = [x —2], where[x] denotes the greatest integer less than or equal to x, then f (2.is equal to
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1/2
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0
0%
1
0%
Does not exist
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0
0%
1
0%
-1
0%
∞
The total revenue in rupees received from the sale of x units of a product is given by R(x) = 13x
2
+ 26x + 15. Then the marginal revenue in rupees, when x = 15 is
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116
0%
126
0%
136
0%
416
0%
146
Differential function f devised for all x> 0 and satisfies f(x
3
) = x
4
for all x > 0, f((f’ denotes the derivative) is equal to
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0%
4
0%
27
0%
8
0%
2
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0%
2)
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