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Published on: 05/11/2020
12th Standard Maths Application of Differential Calculus English Medium Free Online Test One Mark Questions with Answer Key 2020 - 2021
Download Tamil Nadu 12th Standard Maths question papers, model tests, one-mark questions, important questions, and public exam papers in PDF format. Free study materials and answer keys for TN State Board students.
Questions + Answers key
Take MCQ Maths Test1.
The statement "If f has a local extremum at c and if f'(c) exists then f'(c) = 0" is ________
the extreme value theorem
Fermat's theorem
Law of mean
Rolle's theorem
2.
If x + y = 8, then the maximum value of xy is _________
8
16
20
24
3.
If the curves y = 2ex and y = ae-x intersect orthogonally, then a = _________
\(\frac { 1 }{ 2 } \)
-\(\frac { 1 }{ 2 } \)
2
2e2
4.
The critical points of the function f(x) = \((x-2)^{ \frac { 2 }{ 3 } }(2x+1)\) are __________
-1, 2
1, \(\frac { 1 }{ 2 } \)
1, 2
none
5.
The value of \(\underset { x\rightarrow \infty }{ lim } { e }^{ -x }\) is __________
0
∞
e
\(\frac{1}{e}\)
6.
The point on the curve y = x2 is the tangent parallel to X-axis is __________
(1, 1)
(2, 2)
(4, 4)
(0, 0)
7.
8.
The minimum value of the function |3 - x| + 9 is
0
3
6
9
9.
The tangent to the curve y2 - xy + 9 = 0 is vertical when
y = 0
\(\\ \\ y=\pm \sqrt { 3 } \)
\(y=\frac { 1 }{ 2 } \)
\(y=\pm 3\)
10.
A balloon rises straight up at 10 m/s. An observer is 40 m away from the spot where the balloon left the ground. The rate of change of the balloon's angle of elevation in radian per second when the balloon is 30 metres above the ground.
\(\frac{3}{25} \text { radians } / \mathrm{sec}\)
\(\frac{4}{25} \text { radians } / \mathrm{sec}\)
\(\frac{1}{5} \text { radians } / \mathrm{sec}\)
\(\frac{1}{3} \text { radians } / \mathrm{sec}\)
1.
(b)
Fermat's theorem
2.
(b)
16
3.
(a)
\(\frac { 1 }{ 2 } \)
4.
(c)
1, 2
5.
(a)
0
6.
(d)
(0, 0)
7.
(c)
8.
(d)
9
9.
(d)
\(y=\pm 3\)
10.
(b)
\(\frac{4}{25} \text { radians } / \mathrm{sec}\)
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Tamilnadu Stateboard 12th Standard Subjects

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Chemistry

Physics

Biology

Computer Science

Business Maths and Statistics

Economics

Commerce

Accountancy

History

Computer Applications

Biology

Computer Technology

Computer Applications

Computer Science

Business Maths and Statistics

Commerce

Economics

Maths

Chemistry

Physics

Computer Technology

History

Accountancy

Tamil

English

French
Tamilnadu Stateboard Standards