11th Standard Syllabus & Materials

11th Standard

Tamilnadu 11th Standard Tamil மொழி கலை -செய்யுள் - ஒவ்வொரு புல்லையும் Important Questions And Answers Study Material - QB365

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11th Standard

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11th Standard

Tamilnadu 11th Standard Tamil பீடு பெற நில் - செய்யுள் - குறுந்தொகை Important Questions And Answers Study Material - QB365 Set B

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11th Standard

Tamilnadu 11th Standard Tamil பீடு பெற நில் - செய்யுள் - காவடிச்சிந்து Important Questions And Answers Study Material - QB365 Set B

11th Standard Maths Basic Algebra English Medium Free Online Test One Mark Questions 2020 - 2021

Published on: 10/11/2020

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

The factors of the polynomial \(6\sqrt { { 3x }^{ 2 } } -47x+5\sqrt { 3 } \) are ___________

(a)

\((2x-5\sqrt { 3 } )(3\sqrt { 3 } x-1)\)

(b)

\((2x-5\sqrt { 3 } )(3\sqrt { 3 } x+1)\)

(c)

\((2x+5\sqrt { 3 } )(3\sqrt { 3 } x+1)\)

(d)

\((2x+5\sqrt { 3 } )(3\sqrt { 3 } x-1)\)

The value of log₁₀⁸+ log₁₀⁵- log₁₀⁴= ___________

(a)

\({ log }_{ 10 }^{ 9 }\)

(b)

\({ log }_{ 10 }^{ 36 }\)

(c)

(d)

-1

If x is real and k = \(\frac { { x }^{ 2 }-x+1 }{ { x }^{ 2 }+x+1 } \) then ___________

(a)

\(k\epsilon \left[ \frac { 1 }{ 3 } ,3 \right] \)

(b)

k ≥ 3

(c)

\(k\le \frac { 1 }{ 3 } \)

(d)

none of these

\(\sqrt [ 4 ]{ 11 } \) is equal to ___________

(a)

\(\sqrt [ 8 ]{ 11^{ 2 } } \)

(b)

\(\sqrt [ 8 ]{ 11^{ 4 } } \)

(c)

\(\sqrt [ 8 ]{ 11^{ 8 } } \)

(d)

\(\sqrt [ 8 ]{ 11^{ 6 } } \)

If x is a real number and |x| < 5 then ___________

(a)

x ≥ 5

(b)

-5 < x < 5

(c)

x ≤ -5

(d)

-5 ≤ x ≤ 5

If \(\frac { kx }{ (x+2)(x-1) } =\frac { 2 }{ x+2 } +\frac { 1 }{ x-1 } \), then the value of k is

(a)

(b)

(c)

(d)

If 8 and 2 are the roots of x²+ ax + c = 0 and 3, 3 are the roots of x²+ dx + b = 0; then the roots of the equation x²+ ax + b = 0 are

(a)

1, 2

(b)

-1, 1

(c)

9, 1

(d)

-1, 2

Find a so that the sum and product of the roots of the equation 2x²+ (a - 3) x + 3a - 5 = 0 are equal is

(a)

(b)

(c)

(d)

The value of log_a b log_b c log_c a is

(a)

(b)

(c)

(d)

10.

If |x+2| \(\le\) 9, then x belongs to

(a)

\((-\infty ,-7)\)

(b)

[-11, 7]

(c)

\((-\infty ,-7)\cup (11,\infty)\)

(d)

(-11, 7)

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Answers Key:

Multiple Choice Question

10 x 1 = 10

(a)
\((2x-5\sqrt { 3 } )(3\sqrt { 3 } x-1)\)

(a)
\(k\epsilon \left[ \frac { 1 }{ 3 } ,3 \right] \)

(a)
\(\sqrt [ 8 ]{ 11^{ 2 } } \)

(b)
-5 < x < 5

\(\frac{2}{x+2}+\frac{1}{x-1}=\frac{2 x-2+x+2}{(x+2)(x-1)}=\frac{3 x}{(x+2)(x-1)}= k = 3\)

\(x^{2}+a x+c=0 \)
\(x^{2}+d x+b=0 \)
\(8 \& 2 \text { are the roots }\)\(\text { 3. } 3 \text { are the roots }\)
\(\therefore a=-10 ; c=16 \quad d=-6, \quad b=9\)
\(x^{2}+a x+b =0 \)
\(x^{2}-10 x+9 =0 \)
\(\Rightarrow(x-1)(x-9) =0 \)
\(\therefore x =1 \text { (or) } 9 \)

\(2 x^{2}+(a-3) x+3 a-5=0\)
\(\text {Sum }=\frac{-(a-3)}{2} ; \quad \text { Product }=\frac{3 a-5}{2}\)
\(\text {Given they are equal, } \frac{-(a-3)}{2}=\frac{3 a-5}{2}\)
\(-4 a =-8 \)
\(a =2 \)

\(\log _{a} b \log _{b} c \log _{c} a=\log _{a} c \log _{c} a=\log _{a} a=1\)

10.

\(|x+2| \leq 9 \)
\( \Rightarrow-9 \leq x+2 \leq 9 \)
\( \Rightarrow-11 \leq x \leq 7 \)
\(x \text { belongs to }[-11,7]\)