Chapter 4. Equations mcqs with solution
Chapter 4. Equations
1)
An equation of the form ax2
+ bx + c = 0 is called
A) Quadratic
B) Cubic
C) Bi-quadratic
D) Linear
2) In the quadratic equation ax2
+ bx – c = 0 the sum of roots is
A) – b/c
B) – b/a
C) – c/a
D) a/c
3) In the quadratic equation ax2
– bx + c = 0 the product of roots is
A) c/a
B) b/a
C) a/c
D) – c/a
4)
The sum of cube roots of unity is
A) 3
B) 2
C) 1
D) 0
5)
The roots of a quadratic equation
ax2 + bx + c = 0 are
A) 
B) 
C) 
D) 
6)
The product of cube root of unity
is
A) 3
B) 2
C) 1
D) 0
7)
The number of real roots in cube
roots of unity are
A) 3
B) 2
C) 1
D) 0
8) The roots of quadratic equation ax2
– bx – c = 0 are real if
A) b2
+ 4ac £ 0
B) b2
– 4ac < 0
C) b2
+ 4ac ³ 0
D) b2
– 4ac = 0
9) The roots of quadratic equation ax2
+ bx – c = 0 are equal if
A) b2
– 4ac < 0
B) b2
+ 4ac ³ 0
C) b2
+ 4ac = 0
D) b2
– 4ac = 0
10) The roots of quadratic equation ax2
– bx – c = 0 are imaginary if
A) b2
+ 4ac < 0
B) b2
– 4ac ³ 0
C) b2
+ 4ac = 0
D) b2
– 4ac = 0
11) If 4 & - 5 are the roots, then
quadratic equation will be
A) x2
– x – 20 = 0
B) x2
– x + 20 = 0
C) x2
+ x – 20 = 0
D) x2
+ x + 20 = 0
12)
The value of w12 is
A) 1
B) w
C) w2
D) 0
13) The square of a number when added to the
number results in 6 then the number is
A) 2
B) – 2
C) –3
D) Both
A & C
14)
The sum of roots of 3x2 –
4x + 7 = 0 is
A) 4/3
B) 7/3
C) –7/3
D) –4/3
15)
The product of roots of 3x2
+ 5x – 2 = 0 is
A) 5/3
B) 3/5
C) –2/5
D) –2/3
16)
If 3l + x + 5.3x
– 8 = 0, then x =
A) 8
B) 5
C) 3
D) 0
17)
If 
then x =
A) 5
B) 4
C) 3
D) 2
18)
If 
then x =
A) 3
B) 2
C) 1
D) 5
19)
If 
, then x =
A) 1
B) 2
C) 3
D) 4
20) If one root of quadratic equation is 4 +
5i, then equation
A) x2
– 8x + 41 = 0
B) x2
+ 8x + 41 = 0
C) x2
– 41x + 8 = 0
D) x2
– 41x – 8 = 0
21) In the quadratic equation x2 –
9 = 0, the sum of the root is
A) 9
B) –9
C) 1/9
D) 0
22) In the quadratic equation 3x2 –
5x = 0, the product of root is
A) 5/3
B) –5/3
C) 0
D) 3/5
23)
The roots of quadratic equation x2
– 4x = 0 are
A) Imaginary
B) Rational
& Different
C) Irrational
D) Rational
& Equal
24)
Ifw, w2 are complex
cube roots of unity
Then w + w2 =
A) 1
B) –1
C) 0
D) none
of these
25)
Ifw, w2 are complex
cube roots of unity then w2 =
A) 1/w
B) -w
C) –1/w
D) none
of these
26)
A) 0
B) 1
C) –1
D) 4
27)
If w and w2 are cube roots
of unity then
(1 - w - w2)5 =
A) 0
B) 1
C) 32
D) None
of these
28) If the area of a rectangle is 56 & the
length is one more than the breadth then the dimensions are
A) –8,
-7
B) 8, 7
C) 14, 4
D) 28, 2
29) The sides of a right angle triangle are 2x
+ 1, 2x,
2x – 1, then x is
A) –1
B) ½
C) –2
D) 2
30)
If one root of 4x2 + 7hx
– h2 + 9 = 0 is zero then h =
A) 0
B) 3
C) –3
D) ± 3
Chapter 4. Equations
1)
A
2) B
3) A
4)
D
5)
C
6)
C
7)
C
8) C
9) C
10) A
11) C
12)
A
13) D
14)
A
15)
D
16)
D
17)
B
18)
B
19)
D
20) A
21) I D
22) C
23)
B
24)
B
25)
A
26)
C
27)
C
28) B
29) D
30)
D
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