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ftpBOARD OF INTERMEDIATE EDUCATION, KARACHIINTERMEDIATE
EXAMINATION, 2012 (ANNUAL)
Date: 24.05.2012 MATHEMATICS PAPER I Max. Marks: 209:30 a.m. to
9:50 a.m. (Science Pre-Engineering & Science General Groups)
Time: 20 minutes
SECTION A(MULTIPLE CHOICE QUESTIONS) (M.C.Qs.)
NOTE: i) This section consists of 20 part questions and all are
to be answered.Each question carries one mark.
ii) Do not copy down the part questions in your answerbook.
Write only the answer in full against theproper number of the
question and its part.
iii) The code number of your question paper is to be written in
bold letters in the beginning of theanswerscript.
iv) The use of calculator is allowed. All notations are used in
their usual meanings.1. Choose the correct answer for each from the
given options:
i) The multiplicative inverse of (c, d) is equal to:*
2 2
1 1,
c d
*2 2 2 2
,c d
c d c d
+ + * ,
c d
d c
*1 1
,c d
ii) If 4 and 8 are the roots of quadratic equation then the
equation is:*
2 4 32 0x x = * 2 4 32 0x x+ =
*2 4 32 0x x + = * 2 4 32 0x x+ + =
iii) 2 + = :* * 1 * 1 * 0
iv) The sum of the roots of 212 16 4 0x x + = is:*
4
3
*
1
3*
4
3*
1
3
v) A square matrix A is said to be singular if:* 0A = * A O= *
1A = * none of these
vi) The probability of getting a head in single toss of a coin
is:* 0 * 1 *
1
2*
1
2
vii) 53,2
=
:
* 9 * 10 * 20 * 8
viii) If R is the cirumradius of a circumcircle then R =:*
s
*
s c
*
4
abc
*
4
abc
ix) The period of tan is:*
2
* 2 *
3
2
*
x)2
1
1 tan +=:
*2sec * 2cos * 2sec * 2cot
xi) If ( )3,3x + = ( )5,3 , then value of x is:* 7 * 2 * 8 *
5
xii) If { }2,3A = and { }1,2B = then A B is equal to:* { }1,1 *
{ }0,3 * { }3 * { }2
Continued on the next page.
Write this Code No. in the Answerscript.
The correct answers arehighlighted in red colour.
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xiii) If the roots of the equation 2 0ax bx c+ + = are equal
then 2 4b ac is:* greater than zero * less than zero * equal to
zero * equal to one
xiv) The matrix3 0 0
0 3 0
0 0 3
is a:
* Diagonal matrix * Scalar matrix * Unit Matrix * Null
Matrix
xv) If matrix 32 4
is a singular matrix, then the value of is:
* 23
* 43
* 32
* 32
xvi) The value of 5 3P is:* 120 * 60 * 20 * 80
xvii) ( )( )
1 !
1 !
n
n
+=
:
* n * ( )1n * ( )1n + * ( )1n n +
xviii) Ifn is a natural number, the middle term in the expansion
of( )2na b+ is:*
2
th
n
term *2
2
th
n +
term
* ( )1th
n + term *2 1
2
th
nterm
xix) If the sides of a triangle are 3, 4 and 5 units, then s
is:* 4 * 12 * 5 * 6
xx) ( )cot = :* cot * tan *
1
cot*
1
tan
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Write this Code No. in the Answerscript.
