MCQExams
0:0:1
CBSE
JEE
NTSE
NEET
Practice
Homework
×
JEE Questions for Maths Equations And Inequalities Quiz 3 - MCQExams.com
JEE
Maths
Equations And Inequalities
Quiz 3
Report Question
0%
0%
1
0%
√3
0%
1/√3
The greatest number among ∛9, ∜11 and
Report Question
0%
∛9
0%
∜11
0%
0%
Cannot be determined
If 3
x
= 4
x -1
, then x is equal to
Report Question
0%
0%
2)
0%
0%
The value of
Report Question
0%
4
0%
5
0%
7
0%
None of these
The sum of series
Report Question
0%
0%
2)
0%
0%
In a right angled triangle, the sides are a, b and c with as hypotenuse and c - b ≠ 1, c + b ≠ 1. Then, the value of (log
c+b
a + log
c-b
a)/(2 log
c+b
a × log
c-b
a) will be
Report Question
0%
2
0%
- 1
0%
1/2
0%
1
The value of
Report Question
0%
1
0%
6
0%
2/3
0%
3
If 2
χ
. 3
χ+4
= 7
χ
, then χ is equal to
Report Question
0%
0%
2)
0%
0%
If χ = log
a
bc, y = log
b
ca and z = log
c
ab, then the value of 1/(1 + χ) + 1/(1 + y) + 1/(1 + z) will be
Report Question
0%
χ + y + z
0%
1
0%
ab + bc + ca
0%
abc
The value of 7 log
2
16/15 + 5 log
2
25/24 + 3 log
2
81/80 is
Report Question
0%
1
0%
log2(105)
0%
log2(9/80
0%
log2(8/9)
If a = log
2
3, b = log
2
5 and c = log
7
2, then log
140
63 in terms of a,b and c is equal to
Report Question
0%
0%
2)
0%
0%
None of these
Report Question
0%
9
0%
81
0%
1
0%
27
Report Question
0%
log7 35
0%
5
0%
25
0%
log7 25
Report Question
0%
2(a + b)
0%
2(a + b) + 1
0%
2(a + b + 2)
0%
a + b + 4
0%
a + b + 1
Report Question
0%
y
0%
y2
0%
y3
0%
None of these
If log
0.3
(χ -< log
0.09
( χ -1), then χ lies in the interval
Report Question
0%
(2,∞)
0%
(1,2)
0%
(-2, -1)
0%
None of these
The value of
Report Question
0%
1
0%
2
0%
3
0%
4
0%
5
If n = 2006!, then
Report Question
0%
2006
0%
2005
0%
2005!
0%
1
0%
0
If χ, y, z are in GP and a
χ
= b
y
= c
z
, then
Report Question
0%
loga c = logb a
0%
logb a = logc b
0%
logc b = loga c
0%
None of these
If a ϵ R and the equation -3(χ)- [χ])
2
+ 2(χ - [χ]) + a
2
= 0 (where, [χ]denotes the greatest integer ≤ χ] has no integral solution, then all possible values lie in the interval )
Report Question
0%
(-1,∪ (0,1)
0%
(1,2)
0%
(-2, -1)
0%
(- ∞,-∪ (2, ∞)
If α and β are the roots of χ
2
- aχ + b
2
= 0, then α
2
+ β
2
is equal to
Report Question
0%
a2 + 2b2
0%
a2 - 2b2
0%
a2 - 2b
0%
a 2+ 2b
0%
a2 - b2
If the roots of χ
2
- aχ + b = 0 are two consecutive odd integers, then a
2
- 4b is equal to
Report Question
0%
3
0%
4
0%
5
0%
6
0%
7
If α and β are the roots of the equation χ
2
+ 3χ - 4 = 0, then 1/α + 1/β is equal to
Report Question
0%
-3/4
0%
3/4
0%
-4/3
0%
4/3
0%
3/2
If the roots of the equation χ
2
+ 2bχ + c = 0 are α and β, then b
2
- c is equal to
Report Question
0%
0%
2)
0%
0%
0%
If a, b and c are positive numbers in a GP, then the roots of the quadratic equation (log
e
a)χ
2
- 2(log
e
b)χ + (log
e
c) = 0 are
Report Question
0%
0%
2)
0%
0%
If α, β are the roots of aχ
2
+ bχ + c = 0 (a ≠and α + h, β + h are the roots of pχ
2
+ qχ + r = 0 (p ≠ 0), then the ratio of the squares of their discriminants is
Report Question
0%
a2 : p2
0%
a : p2
0%
a2 : p
0%
a : 2p
If the roots of aχ
2
+ bχ + c = 0 are sin α and cos β for some α , then which one of the following is correct?
Report Question
0%
a2 + b2 = 2ac
0%
b2 - c2 = 2ab
0%
b2 - a2 = 2ac
0%
b2 + c2 = 2ab
If the arithmetic mean of the roots of a quadratic equation is 8 and the geometric mean is 5, then the equation is
Report Question
0%
χ2 - 16 χ - 25 = 0
0%
χ2 + 16 χ - 25 = 0
0%
χ2 - 16 χ + 25 = 0
0%
χ2 - 8 χ - 5 = 0
If (α + √β ) and (α -√β ) are the roots of the equation where χ
2
+ pχ + q = 0, where α,β p and q are real, then the roots of the equation (p
2
- 4q)(p
2
χ
2
+ 4pχ ) - 16q = 0 are
Report Question
0%
0%
2)
0%
0%
If α and β are the roots of the equation χ
2
- 2 χ + 4 = 0, then the value of α
n
+ β
n
will be
Report Question
0%
i 2n+1 sin (nπ/3 )
0%
2n+1 cos (nπ/3 )
0%
i 2n-1 sin (nπ/3 )
0%
2n-1 cos (nπ/3 )
If α,β and γ are the roots of χ
3
- 2χ + 1 = 0 then the value of
Report Question
0%
-1/2
0%
-1
0%
0
0%
1/2
If α and β are the roots of the equation χ
2
-χ + 1 = 0, then α
2009
+β
2009
is equal to
Report Question
0%
- 2
0%
- 1
0%
1
0%
2
If α and β are the roots of the equation aχ
2
+ bχ + c = 0 (c ≠ 0), then the equation, whose roots are
Report Question
0%
acχ2 - bχ + 1 = 0
0%
χ2 - acχ + bc + 1 = 0
0%
acχ2 + bχ - 1 = 0
0%
χ2 + acχ + 11 = 0
If one root of the equation χ
2
+ pχ + q = 0 is 2 + √3, then the values of p and q are respectively
Report Question
0%
- 4, 1
0%
4, -1
0%
2,√3
0%
- 2, -√3
If a and b are the roots of the equation χ
2
+ aχ + b = 0, a ≠ 0, b ≠ 0, the the values of a and b are respectively
Report Question
0%
2 and -2
0%
2 and -1
0%
1 and - 2
0%
1 and 2
0%
- 1 and 2
If α and β are the roots of the quadratic equation χ
2
+ χ + 1 = 0, then the equation, whose roots are α
19
and β
7
, is
Report Question
0%
χ2 - χ + 1 = 0
0%
χ2 - χ - 1 = 0
0%
χ2 + χ - 1 = 0
0%
χ2 + χ + 1 = 0
If the sum of the roots of the equation aχ
2
+ 2χ + 3a = 0 is equal to their product, then value of a is
Report Question
0%
-2/3
0%
-3
0%
4
0%
-1/2
If the roots of the equation
Report Question
0%
r
0%
2r
0%
r
0%
1/r
0%
2/r
If one root of the equation lχ
2
+ mχ + n = 0 is 9/2 (where, l,m and n are positive integers and m/4n = 1/m, then l + n is equal to
Report Question
0%
80
0%
85
0%
90
0%
95
0%
100
If α and β are the roots of χ
2
- a (χ -+ b = 0, then the value of
Report Question
0%
0%
2)
0%
0
0%
- 1
The quadratic equation, whose roots are three times the roots of 3aχ
2
+ 3bχ + c = 0, is
Report Question
0%
aχ2 + 3bχ + 3c = 0
0%
aχ2 + 3bχ + c = 0
0%
9aχ2 + 9bχ + c = 0
0%
aχ2 + bχ + 3c = 0
If one root of equation χ
2
+ aχ + 12 = 0 is 4 while the equation χ
2
+ aχ + b = 0 has equal roots, then the value of b is
Report Question
0%
4/49
0%
49/4
0%
7/4
0%
4/7
Report Question
0%
β
0%
π/2 -β
0%
π - β
0%
- β
If α + β = -2 and α
3
+ β
3
= - 56, then the quadratic equation, whose roots are α and β, is
Report Question
0%
χ2 + 2χ - 16 = 0
0%
χ2 + 2χ - 15 = 0
0%
χ2 + 2χ - 12 = 0
0%
χ2 + 2χ - 8 = 0
If α and β are the roots of the equation χ
2
- aχ + b = 0 and A
n
= α
n
+ β
n
. Then A
n+1
- aA
n
+ bA
n-1
is equal to
Report Question
0%
- a
0%
b
0%
0
0%
a - b
If two persons A and B solve the equation χ
2
+ aχ + b = 0, while solving, A commits a mistake the coefficient of χ was taken as 15 in place of -9 and finds the roots as - 7 and - 2 Then, the equation is
Report Question
0%
χ2 + 9χ + 14 = 0
0%
χ2 - 9χ + 14 = 0
0%
χ2 + 9χ - 14 = 0
0%
χ2 - 9χ - 14 = 0
0%
None of these
If α and β are the roots of the equation aχ
2
+ bχ + c = 0, then
Report Question
0%
2/a
0%
2/b
0%
2/c
0%
- (2/a)
The cubic equation, whose roots are thrice to each of the roots of χ
3
+ 2χ
2
- 4χ + 1 = 0, is
Report Question
0%
χ3 - 6χ2 + 36χ + 27 = 0
0%
χ3 + 6χ2 + 36χ + 27 = 0
0%
χ3 + 6χ2 + 36χ + 27 = 0
0%
χ3 - 6χ2 - 36χ + 27 = 0
If α andβ are the roots of the quadratic equation aχ
2
+ bχ + c = 0, observe the lists given below
Report Question
0%
A = 5 B = 2 C = 4 D = 6
0%
A = 5 B = 2 C = 1 D =4
0%
A = 5 B = 4 C = 2 D = 6
0%
A = 5 B = 2 C = 4 D = 1
If α ,β and γ are the roots of the equation χ
3
- 6χ
2
+ 11 χ + 6 = 0, then ∑α
2
β + ∑αβ
2
is equal to
Report Question
0%
80
0%
168
0%
90
0%
- 84
0:0:1
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
0
Answered
0
Not Answered
0
Not Visited
Correct : 0
Incorrect : 0
Report Question
×
What's an issue?
Question is wrong
Answer is wrong
Other Reason
Want to elaborate a bit more? (optional)
Practice Maths Quiz Questions and Answers
<
>
Support mcqexams.com by disabling your adblocker.
×
Please disable the adBlock and continue.
Thank you.
Reload page
