Maths Xi Fb Mcqs & Short q

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CHAPTER # 1

NUMBER SYSTEM

I. CHOOSE THE CORRECT ANSWERS. __

1. 2 is a __________ number.

(a) Rational (b) irrational (c) Prime (d) None

2. Circumference of any circle = .en!t" of its diameter

(a) # $ 2 (b) % # (c) # (d) 2 #

&. # is a .

(a) '"ole number (b) Natural number

(c) Rational Number (d) Irrational number

. odulus of com*le+ number & , i is .

(a) (b) % - (c) - () /

-. 0dditie inerse of (a b) is ..

(a) (a% b) (b) (% a b) (c) (%a %b) (d) None

. 3 , 3 = ..

(a) Real number (b) Com*le+ number(c) / (d) %1

4. 3 5 3 = .

(a) Real number (b) Com*le+ number


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(c) / (d) None6. 3. 3 = .

(a) 737 (b) 737

2

(c) / (d) None8. 9"e set :I %1; *osses closur *ro*erty


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SHORT QUESTIONS

1. Proe t"at 3 5 3 is real.

2. If 3 = a 5 ? b t"en *roe t"at 3 % 3 is ima!inary.

&. If 3 = a 5 ? b t"en *roe t"at A. A = 7372.

. Proe t"at 3 = A iff 3 is real.

-. Bind t"e multi*lication Inerse of 2 5 & ?.

__ __. +*ress ( 5 %&) (& 5 %& in t"e form of a 5 bi.__

4. +*ress & 5 ? in *olar form.

6. +*ress 1 , ? in *olar form.

8. BactoriAe a25 8 b2.

1/. (BactoriAe) 4+25 4y2

11. im*lify (1 %2)/(& ).__

12. "o< t"at & is an irrational number.

1&. Proe t"at (31/32) = 31 $ 32 Bor all 3 D C.


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CHAPTER # 2

(SETS, FUNCTION & GROUP)

1. 0 set "as obEects.

(a) Identical (b) Not


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6. If 0 = : ; t"en P (0) =

(a) m*ty set (b) :/; (c) :O; (d) None

8. If n(s) = m t"en nP(s) =..

(a) 2m (b) 2 m%1 (c) 2 m51 (d) & m

1/. 0 MG is defined as .

(a) :+ $ + 0 + G; (b) :+ $ + 0 J + G;

(c) :+ $ + 0 J + G; (d) None

11. 0G is defined as

(a) :+ $ + 0 + G; (b) :+ $ + 0 Q G;

(c) :+ $ + 0 + G; (d) None

12. 9"e com*lement of a set 0 is defined as ..

(a) 0$= :+ $ + M + 0; (b) 0$= :+$+ M+ 0;

(c) 0$= :+ $ + M + 0; (d) None

1&. 0 M O =.

(a) 0 (b) O (c) u (d) None

1. 0 O =

(a) 0 (b) O (c) 0$ (d) None

1-. 0 , O =..

(a) 0 (b) O (c) 0$ (d) None


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1. (0MG)$= .

(a) 0$ MG$ (b) 0$ MG (c) 0$G$ (d) 0G$

14. If 0+G = G+0 t"en .

(a) 0 = G (b) 0G = O (c) 0 = G (d) None

16. 9"e function f 0G is 0 into G function


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SHORT QUESTION

1. 'rite do


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CHAPTER # 3

(MCQs)

1. 9riial solution of "omo!eneous linear e@uation is

(a) (1 / /) (b) (/ 1 /) (c) (/ / 1) (d) (///)

2. Bor non%triial solution 707 is

(a) 707 U / (b) 707 V / (c) 707 = / (d) None

&. Bor triial solution 707 is..(a) 707 U / (b) 707 V / (c) 707 = / (d) None

. ystem o linear e@uations is Inconsistent if

(a) ystem "as no solution (b) ystem "as many solution

(c) ystem "as uni@ue solution (d) None

-. inimum number of e@uation for any system of e@uations

(a) 2 (b) & (c) (d) 1/

. 9"e matri+ 0 is Wermitian


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8. 0 s@uar matri+ 0 = :aiE; is u**er trian!ular matri+


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SHORT QUESTION

1 %1 1 /1. If 0 = a b and 02= / 1 t"en find t"e alue a [ b

- 2 2 12. Bind t"e matri+ \+] if %2 1 + = %2 1

- &&. If 0 = 1 1 erifies t"at 0 0%1= I2

bc ac ab. 'it"out e+*ansion s"o< t"at 1$a 1$b 1$c = / a b c

mn l l2 1 l2 l&

-. "o< t"at nl m m2 = 1 m2 m&

m n n2 1 n2 n&

. "o< t"at (0%1)%1= 0


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CHAPTER #

(MCQs)

1. ystem of simultaneous e@uation inoles .. or more e@uations.

(a) 1 (b) 2 (c) & (d)

2. '"en discriminant = / t"en t"e roots are.

(a) Real and e@ual (b) Rational

(c) Irrational and une@ual (d) None

&. If roots of t"e e@uation +25 R+ 5 1 = / are e@ual t"e alue of X


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(a) +25 + 5 P = / (b) +25 + , P = /(c) +2% + 5 P = / (d) +2, + , P = /

6. Bor


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SHORT QUESTIONS

1. ole by factoriAation 8+2, 12+ , - = /

2. ole by com*letin! s@uare +2, 2+ , 688 = /

&. ole by uadratic formula -+2, 1&+ 5 = /

. ole +%2, 1/ = &+%1

-. aluate (1 5 < , ) (b) (%> $ 2. > $ 2)(c) (%1 2) (d) None of t"ese

. Inerse sine function is ) (d) (%>$2 >$2)

4. 9"e inerse cosine function can be


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(a) (%1 1) (b) (%g g) (c) (/ >) (d) (%>$2 >$2)

8. 9"e ran!e of y = cos%1+ function is

(a) (%1 1) (b) (%g g) (c) (/ >) (d) (%>$2 >$2)

1/. Inerse tan!ent function can be 5 Cos%1+ (b) > , Cos%1 +(c) > 5 in%1+ (d) > , in%1+

1. 9an%1(%+) = .

(a) 9an%1+ (b) Cot %1+ (c) % 9an%1+ (d) % Cot %1+

14. If in%1 = >$2 , + t"en + = ..


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(a) / (b) > $ & (c) > $ (d) > 5 +

16. in

%1

0 5 in

%1

G = .._____ _____ ____ ____(a) in%1(01 ,G2, G1 % 02) (b) in%1(01 , G2= G1 , 02)

_____ _____ _____ _____(c) in%1(01 , G25 G1 5 02 (d) in%1(021 , G25 G21 , 02)

18. in%10 , in%1G = ._____ _____ _____ _____

(a) in%1(01 ,G25 G1 % 02) (b) in%1(01 , G2% G1 , 02)_____ _____ _____ _____

(c) in%1(01 , G25 G1 5 02 (d) in%1(021 , G25 G21 , 02)

2/. Cos%10 5 Cos%1G = .._____________ ____________

(a) Cos%1Y0G % (1 , 02)(1 , G2)Z (b) Cos%1Y0G 5 (1 , 02)(1 , G2)Z_____________ _____________

(c) Cos%1Y0G % (1 5 02)(1 , G2)Z (d) Cos%1Y0G % (1 , 02)(1 5 G2)Z

21. Cos%1 0 , Cos%1 G =

_____________ ____________ (a) Cos%1Y0G % (1 , 02)(1 , G2)Z (b) Cos%1Y0G 5 (1 , 02)(1 , G2)Z_____________ _____________

(c) Cos%1Y0G % (1 5 02)(1 , G2)Z (d) Cos%1Y0G % (1 , 02)(1 5 G2)Z


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SHORT QUESTION

1. 'it" out usin! tables $ calculators ealuate_

(i) in%1 (ii) in%1(%1) (iii) Cos%1(&$2)_ _

(i) 9an%1(%1 $ &) () Cosec%1 (%2 $ &)

2. Bind t"e alue of _(i) in YCos%1(& $ 2) (ii) ec Yin%1(1$2)Z

(iii) ec YCos%1(1$2)Z (i) 9an Yin%1(%1$2)Z

&. "o< t"at Cos%112 $ 1& = in %1 - $ 1&

. "o< t"at Cos%1 $ - = Cot %1 $ &

-. "o< t"at Cos (2 in%1 +) 1 , 2+2____

. Cos (in%1 +) = 1 , +2

____4. Cos in (2 Cos%1 +) = 2+ 1 , +2

6. "o< t"at tan%1(%+) = % tan%1+

8. "o< t"at in%1 (%+) = % in%1+

____1/. "o< t"at tan (in%1) = + $ 1 , +2


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CHAPTER # 1

1. 9ri!onometric e@uation contain .. tri!onometric function.

2. 9ri!onometric functions are function.

&. If in + %= Cos + t"en t"e !eneral solution is

(a) n > $ 5 2n > ) are

(a) > $ & 2> $ & (b) > $ > $ &

(c) > $ & - > $ & (d) None of t"ese

-. eneral solution of t"e e@uation 1 5 Cos + = / is

(a) : >$2 5 2n>; (b) :% >$2 5 2n>;

(c) :> 5 2n>; (d) None of t"ese

. olution of t"e e@uation 1 5 Cos + = / is

(a) >$2 (b) > (c) 2 > (d) None of t"ese

4. Cos + = "as solution

(a) >$2 (b) >$& (c) >$ (d) >$

6. 9"e solution set of tan 2+ = 1 in (/ >) is


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(a) :>$6 ->$6; (b) : >$ ->$;

(c) : >$ &>$; (d) None of t"ese

8. 9"e solution set of sec + = % 2 in (/ >) is(a) 2>$& >& (b) >$& 2>$&

(c) >$& >$& (d) None of t"ese

1/. 9"e solution set of sin + = / is

(a) 2n> n D 3 (b) n > n D 3

(c) 2n> n D (d) None of t"ese

11. 9"e solution of tan2 + = & ) is

(a) >$& ->$& (b) >$& 2>$&

(c) >$& >$& (d) None of t"ese

12. If tan (+$2) = & and + lies in (/ 2>) t"en + is e@ual to

(a) / and + (b) >$& and ->$&

(c) >$ and ->$ (d) None of t"ese


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SHORT QUESTION

1. Bind t"e solution of t"e follo


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CHAPTER # 1

ANSWERS '

1. b2. c&. d. c-. c. b4. a6. b8. c1/. a11. b12. a1&. c

1. c


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CHAPTER # 2

ANSWERS '

1. c2. c&. d

. a-. b. c4. a6. c8. a1/. a11. b12. a1&. a1. b1-. a1. c14. a16. b18. a2/. c


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CHAPTER # 3

ANSWERS '

1. d2. c&. d. a-. a. a4. b6. c8. c1/. a11. b12. a

1&. c


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CHAPTER #

ANSWERS '

1. b2. a&. b

. c-. b. a4. c6. b8. d1/. b11. c12. c1&. d


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CHAPTER # !

ANSWERS '

1. d2. c&. a. b-. a. b4. b6. b8. c1/. a


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CHAPTER # "

As*+s '

1. a2. b&. a. d

-. c. b4. b6. b8. b1/.a11.c12.d1&.c

1.a1-.c1.d14.c16.b18.a2/.d21.b22.a2&.c

2.a2-.b2.a24.c26.d


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CHAPTER #

As*+s '

1. b2. a&. a. a

-. b. c4. a6. c8. b1/. d11. b12. c1&. d

1. a1-. a1. b14. c16. a18. c2/. d21. c22. d2&. a

2. d2-. d2. b24. a26. a28. a&/. d


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&1. a&2. a&&. b&. b

&-. c CHAPTER #

As*+s'

1. a2. b&. d. b-. c. d4. a6. c8. a1/. b11. d

12. d1&. c1. d1-. c1. d14. d16. c18. c2/. a


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CHAPTER # $

As*+ '

1. c2. b&. d

. b-. a. c4. b6. c8. a1/. b11. c12. d1&. b1. a1-. c1. c14. b16. a18. d2/. c21. c22. b

2&. a2. c2-. b2. d24. a26. c28. b


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&/. b&1. d&2. a&&. a

&. d CHAPTER # 1%

ANSWERS '

1. a2. c&. b. a-. d. b4. c6. d8. d1/. b11. c12. b

1&. a1. d1-. b1. a14. d16. c18. a2/. b21. c

22. b2&. b2. d2-. b2. c24. c


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CHAPTER # 11

ANSWERS '

1. c2. a

&. d. d-. c. a4. b6. a8. a1/. b


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CHAPTER # 12

As*+s '

1. c2. b&. c. a-. a. a4. d6. d8. d1/. c11. a12. c

1&. b1. b1-. c1. a14. a16. b18. a2/. d21. b

22. c2&. c2. b2-. a2. c24. b26. c


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28. a&/. c

CHAPTER # 13

As*+s '

1. a2. a&. b. c

-. a. d4. c6. a8. c1/. c11. d12. a1&. b

1. a1-. b1. c14. b16. b18. b2/. a21. b


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CHAPTER # 1

As*+s '

1. a2. c&. c. a

-. c. b4. d6. a8. a1/. b11. d12. b

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Maths Xi Fb Mcqs & Short q