11th Standard Syllabus & Materials

11th Standard

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

NEW

11th Standard

TN 11th Tamil என்னுயிர் என்பேன் -துணைப்பாடம் - இசைத்தமிழர் இருவர் Important Questions And Answers Study Material - QB365 Set A

NEW

11th Standard

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

NEW

11th Standard

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

NEW

11th Standard

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

NEW

11th Standard

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 1 Mark Questions 2020 - Part Nine

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

Take MCQ Maths Test

QB365 Student Learing Managemnet System

Std: 11th Standard - Maths

chapter: - Model Question paper

Visit QB365-SLMS - https://www.qb365.in/slms/ Complete Questions and Answers

Questions:

Multiple Choice Question

10 x 1 = 10

The rate of change of area A of a circle of radius r is

(a)

\(2\pi r\)

(b)

\(2\pi r\frac { dr }{ dt } \)

(c)

\(\pi { r }^{ 2 }\frac { dr }{ dt } \)

(d)

\(\pi \frac { dr }{ dt } \)

The function \(f\left( x \right) =\tan { x } \) is discontinuous on the set

(a)

\(\left\{ n\pi :\quad n\in z \right\} \)

(b)

\(\left\{ 2n\pi :\quad n\in z \right\} \)

(c)

\(\left\{ (2n+1)\frac { \pi }{ 2 } ,\quad n\in z \right\} \)

(d)

\(\left\{ n\frac { \pi }{ 2 } ,\quad n\in z \right\} \)

Choose the correct or the most suitable answer from the given four alternatives.
If f(x) is an odd function, then f^'(x) is an ______ function

(a)

even

(b)

odd

(c)

even or odd

(d)

neither even nor odd

\(\int \frac{e^x\left(x^2 \tan ^{-1} x+\tan ^{-1} x+1\right)}{x^2+1} d x\) is

(a)

e^xtan^-1(x+1)+c

(b)

tan^-1(e^x)+c

(c)

\(e^x{(tan^{-1}x)^2\over 2}+c\)

(d)

e^x tan^-1 x+c

If f(x) = x + 2, then f '(f(x)) at x = 4 is

(a)

(b)

(c)

(d)

If f(x) = x² - 3x, then the points at which f(x) = f '(x) are

(a)

both positive integers

(b)

both negative integers

(c)

both irrational

(d)

one rational and another irrational

The coefficient of a⁵ in the expansion of (3a + 5b)⁵ is ______________

(a)

(b)

243

(c)

6750

(d)

9375

If(1, 3) (2,1) (9, 4) are collinear then a is ______________

(a)

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

(b)

(c)

(d)

-\(\frac{1}{2}\)

cos p = \(\frac { 1 }{ 7 } \) and cos Q = \(\frac { 13 }{ 14 } \) where P, Q are angles, then P-Q is _______________

(a)

\(\frac { \pi }{ 6 } \)

(b)

\(\frac { \pi }{ 3 } \)

(c)

\(\frac { \pi }{ 4 } \)

(d)

\(\frac { 5\pi }{ 12 } \)

10.

The range of the function \({1\over 1-2sinx}\) is

(a)

\((-∞,-1)\cup\left( {1\over 3},\infty\right)\)

(b)

\(\left( -1,{1\over 3}\right)\)

(c)

\(\left[ -1,{1\over 3}\right]\)

(d)

\((-∞,-1]\cup [\frac { 1 }{ 3 } ,∞)\)

Visit QB365-SLMS - https://www.qb365.in/slms/

Answers Key:

Multiple Choice Question

10 x 1 = 10

(b)
\(2\pi r\frac { dr }{ dt } \)

(a)
even

\(\int \frac{e^{x}\left(x^{2} \tan ^{-1} x+\tan ^{-1} x+1\right)}{x^{2}+1} d x \)
\(=\int e^{x}\left(\frac{\left(x^{2}+1\right) \tan ^{-1} x+1}{\left(x^{2}+1\right)}\right) d x \)
\(=\int e^{x}\left(\tan ^{-1} x+\frac{1}{\left(x^{2}+1\right)}\right) d x \)
\(=\int e^{x}\left[f(x)+f^{\prime}(x)\right] d x, f(x)=\tan ^{-1} x \)
\(=e^{x} f(x)+c \text { where } f(x)=\tan ^{-1} x \)
\(=e^{x} \tan ^{-1} x+c \)

\(\text { Given } f(x)=x+2\)
\(f^{\prime}(x) =1 \)
\(f^{\prime}(f(x)) =f^{\prime}(x+2)=1 \)

\(\text { Given } f(x)=x^{2}-3 x\)
\(f^{\prime}(x) =2 x-3 \)
\(f(x) =f^{\prime}(x) \)
\(x^{2}-3 x =2 x-3 \)
\(x^{2}-3 x-2 x+3 =0 \)
\(x^{2}-5 x+3 =0 \)
\(\text { It has irrational roots. }\)

(b)
243

(a)
\(\frac{1}{2}\)

(b)
\(\frac { \pi }{ 3 } \)

10.

\(-1 \leq \sin x \leq 1 \)
\(-2 \leq 2 \sin x \leq 2 \)
\(2 \geq-2 \sin x \geq-2 \)
\(-2 \leq-2 \sin x \leq 2 \)
Adding 1,
\(1-2 \leq 1-2 \sin x \leq 1+2 \)
\(-1 \leq 1-2 \sin x \leq 3 \)
\(-1 \geq \frac{1}{1-2 \sin x} \geq \frac{1}{3} \)
\(\frac{1}{3} \leq \frac{1}{1-2 \sin x} \leq-1 \)
\(\therefore \text { Range is }(-\infty,-1] \cup\left[\frac{1}{3}, \infty\right)\)