MERIDIANS GROUP OF EDUCATION
91-G-2 Wapda Town, Lahore 03214467300
Name: Roll #: Subject: Maths-9 Test #: 2497103
Test Detail: Type 7 - Short Test (MCQs=6, SQs=8/12, LQs=1/2) - Marks=30 Time:
Syllabus: U-2, Date: 28-Nov-2024
1. A B C D 3. A B C D 5. A B C D
2. A B C D 4. A B C D 6. A B C D
تس
1- Circle the correct answer. (6x1=6) وجابےکرگددارئہاگلںیئ۔ در -1
i. i
7
=? i
7
=? .i
(A) i (B) 1 (C) −i (D) 2
ii. The value of i 12 is: یکتمیق_______ےہ۔i 12 .ii
(A) −i (B) i (C) -1 (D) 1
iii. If z = −i , then ˉ =?
zz ˉ =?
zz وہوتz = −iارگ .iii
(A) 1 (B) 0 (C) -1 (D) 2i
iv. Conjugate of (−6i + i ) will be: 2
(اکاکوجنٹیگوہاگ۔−6i + i 2
) .iv
(A) −1 − 6i (B) +1 − 6i (C) −1 + 6i (D) 1 ± 6i
v. Real part of complex number 2ab(i + i 2 ) is: :اکیقیقحہصح____ےہ2ab(i + i )سکیلپمکربمن 2 .v
(A) −2ab i (B) 2ab i (C) −2ab (D) 2ab
vi. The value of i 9 is _____: یکتمیق____ےہ۔i 9 .vi
(A) 1 (B) -1 (C) i (D) −i
2- Answer any 4 short questions. (4x2=8) وساالتےکرصتخموجاابتےئھکل۔4وکیئےس -2
i. Evaluate x and y if یکتمیقولعممرکںی۔ارگy اورx .i
x + iy + 1 = 4 − 3i
ii. Evaluate. (−i)
5
تمیقولعممرکںی۔
(−i)
5
.ii
ےئی
iii. Write the real and imaginary parts of the number −3i −3iےئگدعدےکیقیقحاورارجنیمیےصحےئھکل۔ د .iii
iv. ل ھک .iv
Write the conjugate of −i. اکاکوجنٹیگ یے۔−i
v. Solve the equation for x and y: ںیملحرکںی۔y اورxاسمواتوک .v
(2 − 3i)(x + yi) = 4 + i
vi. Express complex number in the standard form a + bi, یقیقحادعادوہں۔b اورaیکلکشںیماحلصرکںیہکبجa + biسکیلپمکدعدوک .vi
where a and b are real numbers.
2 3 16 19 25
2i + 6i + 3i − 6i + 4i
3- Answer any 4 short questions. (4x2=8) وساالتےکرصتخموجاابتےئھکل۔4وکیئےس -3
i. Separate real and imaginary parts of
−−
−
(−1 + √−2 )
2
(ےکیقیقحاورازجیمیےصحاگلرکںی۔−1 + √−2 )
−−
− 2
.i
ii. Express
1
in standard form a + bi ںیماظرہرکںی۔a + biوکایعمریلکش 1
.ii
1+2i
1+2i
iii. لک .iii
وکرڈیلکیافرمںیم ھیے۔4
2 2
Write 4 3 in the radical form. 3
−−−−−−−−
iv. Simplify: √ 25x 10n y 8m
−−−−−−−−
√25x 10n y 8m رصتخمرکںی۔ .iv
v. Simplify: 4
−−−−−−−−
√ 81y
−12
x
−8
−−−−−−−−
4
√81y
−12
x
−8
رصتخمےیجیک۔ .v
vi. Simplify: رصتخمےیجیک۔ .vi
1
3 4 5
x y z 5
( )
−2 −1 −5
x y z
Attempt any ONE question in detail. (4+4=8) وسالاکیلیصفتوجابےئھکل۔1یسک
4(a Solve the equation into x and y. ںیملحرکںی۔y اورx) اسمواتوکa(4
(2 − 3i)(x + yi) = 4 + i
یکتمیقولعممےیجیک۔z − zˉوہوتz = ارگ )b(
4−3i
(b) If z =
4−3i
then calculate ˉ
z − z 2+4i
2+4i
5(a 2l 2m 2n
رصتخمےئجیک۔ )a(5
2l 2m 2n
a a a a a a
Simplify: ( l+m
)( m+n
)(
n+l
) (
a
l+m
)(
a
m+n
)(
a
n+l
)
a a a
Simplify: )b(
p+q q−r
(b) (
a
p
) .(
a
q
) ÷ 5(a . a )
p r p−r
,a ≠ 0 رصتخمرکںی۔
q r
p+q q−r a a
p q
a a p r p−r
( q
) .( r
) ÷ 5(a .a ) ,a ≠ 0
a a
MERIDIANS GROUP OF
EDUCATION
91-G-2 Wapda Town, Lahore 03214467300
Name: Roll #: Subject: Maths-9 Test #: 2497103
Test Detail: Type 7 - Short Test (MCQs=6, SQs=8/12, LQs=1/2) - Marks=30 Time:
Syllabus: U-2, Date: 28-Nov-2024
TEST TYPE WITH ANSWERS KEY
1 2 3 4 5 6
C D A C C C
