11th Standard Syllabus & Materials

11th Standard

TN 11th Tamil இயற்கை வேளாண்மை,சுற்றுச்சூழல் -செய்யுள் - மனோன்மணீயம் Important Questions And Answers Study Material - QB365 Set A

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TN 11th Tamil மொழி கலை -செய்யுள் - ஒவ்வொரு புல்லையும் Important Questions And Answers Study Material - QB365 Set A

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TN 11th Tamil பீடு பெற நில் - இலக்கணம் - பகுபத உறுப்புகள் Important Questions And Answers Study Material - QB365 Set A

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TN 11th Tamil பீடு பெற நில் - துணைப்பாடம் - வாடிவாசல் Important Questions And Answers Study Material - QB365 Set A

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TN 11th Tamil பீடு பெற நில் - செய்யுள் - குறுந்தொகை Important Questions And Answers Study Material - QB365 Set A

11th Standard Maths English Medium Free Online Test One Mark Questions with Answer Key 2020 - Part Ten

Published on: 11/11/2020

Download Tamil Nadu 11th 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.

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Std: 11th Standard - Maths

chapter: - Model Question paper

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Questions:

Multiple Choice Question

10 x 1 = 10

Choose the incorrect pair?

(a)

330^o - \(\frac{11\pi}{6}\)radians

(b)

\(\frac{7\pi^c}{3}\) - 200^o

(c)

0^o - 0^c

(d)

2\(\pi\)^c - 360^o

Find the odd one out of the following:

(a)

\(\begin{bmatrix} 0 & 2 \\ -2 & 0 \end{bmatrix}\)

(b)

\(\begin{bmatrix} 0 & \frac { -7 }{ 2 } \\ \frac { 7 }{ 2 } & 0 \end{bmatrix}\)

(c)

\(\begin{bmatrix} 0 & 3.2 \\ -3.2 & 0 \end{bmatrix}\)

(d)

\(\begin{bmatrix} 0 & 1 \\ 1 & 0 \end{bmatrix}\)

\(\int { \frac { \left( 1+logx \right) ^{ 2 } }{ x } } \) dx = _______+C.

(a)

\(\frac { \left( 1+logx \right) ^{ 3 } }{ 3 } \)

(b)

3 log ( 1 + log x)

(c)

2(1 + log x)

(d)

none of these

The probability that in a year of 22^nd century, chosen at random there will be 53 Sundays is

(a)

\(\frac { 3 }{ 28 } \)

(b)

\(\frac { 2 }{ 28 } \)

(c)

\(\frac { 7 }{ 28 } \)

(d)

\(\frac { 5 }{ 28 } \)

If the square of the matrix \(\begin{bmatrix} \alpha & \beta \\ \gamma & -\alpha \end{bmatrix}\) is the unit matrix of order 2, then \(\alpha ,\beta \) and \(\gamma\) should satisfy the relation.

(a)

1 + \(\alpha ^2+\beta \gamma=0\)

(b)

1 - \(\alpha ^2-\beta \gamma=0\)

(c)

1 - \(\alpha ^2+\beta \gamma=0\)

(d)

1 + \(\alpha ^2-\beta \gamma=0\)

tan 70°- tan 20°= _____________

(a)

tan 50°

(b)

2 tan 50°

(c)

tan 70°

(d)

The middle term in the expansion of is \((x- \frac{2}{x})^{12}\) is ______________

(a)

12C₆

(b)

12C₆2⁶

(c)

12C₇

(d)

12C₆2⁷

If \(f:R\rightarrow R\) is defined by \(f(x)=2x-3\) __________

(a)

\({1\over 2x-3}\)

(b)

\({1\over 2x+3}\)

(c)

\({x+3\over 2}\)

(d)

\({x-3\over 2}\)

The product of first n odd natural numbers equals

(a)

²ⁿC_n\(\times\)ⁿP_n

(b)

\({ \left( \frac { 1 }{ 2 } \right) }^{ n }\times\)²ⁿC_n\(\times\)ⁿP_n

(c)

\({ \left( \frac { 1 }{ 4 } \right) }^{ n }\times \)²ⁿC_n\(\times\)²ⁿP_n

(d)

ⁿC_n\(\times\)ⁿP_n

10.

The triangle of maximum area with constant perimeter 12m

(a)

is an equilateral triangle with side 4m

(b)

is an isosceles triangle with sides 2m, 5m, 5m

(c)

is a triangle with sides 3m, 4m, 5m

(d)

Does not exist

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Answers Key:

Multiple Choice Question

10 x 1 = 10

(b)
\(\frac{7\pi^c}{3}\) - 200^o

(d)
\(\begin{bmatrix} 0 & 1 \\ 1 & 0 \end{bmatrix}\)

(a)
\(\frac { \left( 1+logx \right) ^{ 3 } }{ 3 } \)

(d)
\(\frac { 5 }{ 28 } \)

\(\text { Given } \text {matrix } A=\left[\begin{array}{cc} \alpha & \beta \\ \gamma & -\alpha \end{array}\right] \text { is unit matrix }\)
\(|A|=1 \)
\(-\alpha^{2}-\beta \gamma=1 \)
\(1+\alpha^{2}+\beta \gamma=0 \)

(b)
2 tan 50°

(b)
12C₆2⁶

\(1.3 .5 \ldots .(2 n-1) =\frac{1.2 .3 .4 \ldots \ldots .(2 n-1)(2 n)}{2.4 \ldots . \ldots(2 n)} \)
\(=\frac{\lfloor 2 n}{2^{n}\lfloor n}=\left(\frac{1}{2}\right)^{n} \cdot{ }^{2 n} C_{n} \times{ }^{n} P_{n} \)

10.

\(3 \mathrm{a}=12 \Rightarrow \mathrm{a}=4\)
Maximum area is obtained when it is an equilateral triangle with side 4 m each