Divisional
Model College, Faisalabad.
Name __________________________ Class: 10th Subject: Mathematics
(Objective) Marks: 50
Q1. Choose the correct answer from the given
four options. /20
|
|
Questions |
A |
B |
C |
D |
|
1 |
The number
of terms in ax2+bx+c=0 is |
1 |
2 |
3 |
4 |
|
2 |
The number
of methods to solve the quadratic equation is |
1 |
2 |
3 |
4 |
|
3 |
The
solution set of 4x2-16=0 is |
|
|
|
|
|
4 |
An
equation which remain unchanged when x is replaced by |
Exponential |
Reciprocal |
Radical |
Quadratic |
|
5 |
The
solution set of 5x2 = 15x is |
|
|
|
|
|
6 |
Two linear
factors of x2-15x+56 are |
(x-7)(x+8) |
(x+7)(x-8) |
(x-7)(x-8) |
(x+7)(x+8) |
|
7 |
Product of
cube roots unity is |
0 |
1 |
-1 |
3 |
|
8 |
If b2-4ac
|
Rational |
irrational |
imaginary |
None |
|
9 |
|
|
|
|
|
|
10 |
If |
|
|
|
|
|
11 |
Sum of
cube roots of unity is |
0 |
1 |
-1 |
3 |
|
12 |
Two square
root of unity are |
1,-1 |
1, |
1,- |
|
|
13 |
The nature
of roots of ax2+bx+c=0 is determined by |
Sum of root |
Product of root |
discriminant |
None |
|
14 |
|
|
- |
1 |
None |
|
15 |
If |
|
|
|
|
|
16 |
In ratio
x:y , y is called |
relation |
antecedent |
consequent |
None of these |
|
17 |
Find x in
4:x::5:15 |
|
|
|
12 |
|
18 |
In
proportion a:b::c:d, band c are called |
mean |
extremes |
Fourth |
None |
|
19 |
If U ∝ V2 then |
U=V2 |
U=KV2 |
UV2=K |
UV2=1 |
|
20 |
In ratio
a:b,a is called |
relation |
antecedent |
consequent |
None |
(Subjective
Part)
Marks: 30
Solve
any five question in each of the following section. Each carry 2 marks.
Section I
(i). Solve 
Ans. 
(ii). Solve 
Ans. 
(iii). Define quadratic equation
Ans. An
equation which contains the square of the unknown quantity but no higher power
is called quadratic equation.
(iv). Define reciprocal equation
Ans. An
equation is set to be reciprocal equation if it remain unchanged when x is
replaced by 
(v). Define radical equation
Ans. An
equation involving expression under radical sign is called a radical equation.
(vi). Define exponential equation
Ans. In
exponential equation variable occure in exponent.
(vii). Solve by completing square 
Ans. 
(viii). Solve by quadratic formula 
Ans. 
(ix). Solve 
Ans.
x=-1, - -
(x). Solve by factorization 
Ans. 
Section
II
(i). Prove that sum of the all cube
roots of unity is “0”
(ii). Discuss the nature of roots of 2x2-7x+3=0
Ans. 25
determinant is positive and perfect square so roots are rational and
unequal.
(iii). Evaluate (9+4
+
Ans. 125
(iv). Find cube root of -27
Ans. 
(v). Without solving find sum and
product of roots (a+b)x2-ax+b=0
Ans. Sum
of root = 
, product of root is equal
to 
(vi). Find value of h using synthetic
division if 3 is zero of 2x3-3hx2+9
Ans. h
is equal to 
(vii). Find 
if 
Ans. 
(viii). Evaluate 
Ans. 0
(ix). If ∝ and β are roots of 
find 
Ans. 
(x). If is cube root
of unity form and equation whose roots are 3 and 
Ans. 
Section III
(i). Define ratio and give one
example
Ans. A
relation between two quantities of same kind is called ratio.
(ii). Define proportion.
Ans. A
proportion is a statement which is expressed as equivalence of two ratios.
(iii). Define direct variation
Ans. If
two quantities are related in such a way that increase in one quantity cause
increase in other quality is called direct proportion.
(iv). Define inverse variation.
In such
a way that increase in one quantity caused decrease in other quantity is called
inverse.
(v). Find fourth proportional 8,7,6 Ans. 
(vi). Find mean proportional 16 and 49 Ans. 
(vii). Find a third proportional to 28
and 4 Ans. 
(viii). If z∝
yx and Z=36 when x=2, y=3 then find Z Ans. Z= 6yx
(ix). If w ∝ 
and W=2 when V=3 then find W Ans. 
(x). Find X if 6:X::3:5 Ans.
x=10
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