11th Standard Syllabus & Materials

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

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.

Questions + Answers key

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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)

10C₁ - 10C₉

(b)

10C₃ - 10C₇

(c)

10C₄ - 10C₆

(d)

10C₅ - 10C₂

If g(x) = (x² + 2x + 3) f(x) and f(0) = 5 and \(lim_{x \rightarrow 0}{f(x)-5\over x}=4\), then g'(0) is

(a)

(b)

(c)

(d)

The function f(x) = log (x + \(\sqrt{x^2+1}\)) is ___________

(a)

an even function

(b)

an odd function

(c)

a periodic function

(d)

neither an even nor an odd function

If ⁿP_r=k x ^n-1P_r-1 what is k:

(a)

(b)

(c)

n+1

(d)

r+1

If a is the arithmetic mean and g is the geometric mean of two numbers, then

(a)

a \(\le \) g

(b)

a \(\ge\) g

(c)

a = g

(d)

a > g

The locus of a point which moves such that it maintains equal distances from two fixed points is a ______________

(a)

straight line

(b)

line bisector

(c)

pair of straight lines

(d)

angle bisector

The sum of the series \(\frac { 1 }{ { log }_{ 2 }^{ 4 } } +\frac { 1 }{ { log }_{ 4 }^{ 4 } } +\frac { 1 }{ { log }_{ 8 }^{ 4 } } +.....+\frac { 1 }{ { log }_{ { 2 }^{ n } }^{ 4 } } is\)______________

(a)

\(\frac { n(n+1) }{ 2 } \)

(b)

\(\frac { n(n+1)(2n+1) }{ 2 } \)

(c)

\(\frac { n(n+1) }{ 4 } \)

(d)

none of these

If the sum of n terms of an A. P. be 3n² - n and its common difference is 6, then its first term is ______________

(a)

(b)

(c)

(d)

The number of real solution of |2x - x²- 3| = 1 is ___________

(a)

(b)

(c)

(d)

10.

If a and b are the roots of the equation x²- kx + 16 = 0 and a²+ b²= 32, then the value of k is

(a)

(b)

-8

(c)

-8, 8

(d)

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Answers Key:

Multiple Choice Question

10 x 1 = 10

(d)
10C₅ - 10C₂

\(\text { Given } f(0)=5\)
\(\lim _{x \rightarrow 0} \frac{f(x)-5}{x} =4 \)
\(\lim _{x \rightarrow 0} \frac{f(x)-f(0)}{x-0} =4 \)
\(f^{\prime}(0) =4 \)
\(g(x) =\left(x^{2}+2 x+1\right) f(x) \)
\(g^{\prime}(x) =\left(x^{2}+2 x+1\right) f^{\prime}(x)+(2 x+2) f(x) \)
\(g^{\prime}(0) =(1) f^{\prime}(0)+2 f(0) \)
\(=1(4)+2(5) \)
\(=4+10=14 \)

(b)
an odd function

(b)
n

\(\mathrm{AM} \geq \mathrm{GM} \)
\(\Rightarrow a \geq g \)

(b)
line bisector

(a)
2

(b)
2

10.

\(x^{2}-k x+16=0, a^{} \& b \text { are roots }\)
\(a+b =k ; a b=16 \)
\(a^{2}+b^{2} =(a+b)^{2}-2 a b \)
\(32 =k^{2}-32 \)
\(k^{2} =64 \)
\(k =\pm 8 \Rightarrow k=-8,8 \)