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JEE Questions for Maths Equations And Inequalities Quiz 9 - MCQExams.com
JEE
Maths
Equations And Inequalities
Quiz 9
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0%
0%
2)
0%
0%
None of these
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2
0%
4
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6
0%
Infinite
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0
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1
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2
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Infinite
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1
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2
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3
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4
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–a
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–b
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–c
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None of these
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2)
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0%
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2)
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0%
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2)
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None of these
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2)
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0%
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2)
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0%
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Imaginary
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Equals
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Rational
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Irrational
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2)
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None of these
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0
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1
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–1
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None of these
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2)
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0%
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2)
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0%
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0
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1
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–1
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None of these
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–2i
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2i
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–2i, –2i
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2i, 2i
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1, 4
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1, –4
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1, –8
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1, 8
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0
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1
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0, 1
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None of these
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1, 2
0%
0, 2
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0, 1
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`1, 3
The equation e
x
+ x – 1 = 0 has, apart from x = 0
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One other real root
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Two real roots
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No other real root
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Infinite number of real root
If x
2
+ y
2
= 25, xy = 12, then x = 0
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{3, 4}
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{3, –3}
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{3, 4, –3, –4}
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{–3, –3}
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{0, –2, 4}
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None of these
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{–2, 4}
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{4}
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0%
3
0%
0%
none of these
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One
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Two
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infinite
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None of these
The solution of the equation x + 1/x = 2 will be
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2, –1
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0, –1, –1/5
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–1, –1/5
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None of these
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0%
2)
0%
0%
None of these
Let α and β be the roots of the equation x
2
+ x + 1 = 0, then the equation whose roots are α
19
, β
7
is
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x2 – x – 1 = 0
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x2 – x + 1 = 0
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x2 + x – 1 = 0
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x2 + x + 1 = 0
If x
1
, x
2
and x
3
are distinct roots of the equation ax
1
+ bx + c = 0 then
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0%
2)
0%
0%
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0%
2
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3
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1
0%
None of these
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4
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6
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3
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2
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2
0%
2)
0%
0%
none of these
In between any two real roots of an e
x
sinx = 1 there exists how many roots satisfying equation e
x
cosx = –1?
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At least one root
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No root
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At most one root
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None of these
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0%
2)
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0%
The equation e
x
– x – 1 = 0 has
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Only one real root x = 0
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At least two real roots
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Exactly two real roots
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Infinitely many roots
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No solution
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One solution
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Two solutions
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More than two solutions
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2)
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0%
The real roots of the equation x
2
+ 5|x| + 4 = 0 are
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–1, 4
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1, 4
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–4, 4
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None of these
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1
0%
2
0%
3
0%
4
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{–1, 2}
0%
{1, 2}
0%
{–1, –2}
0%
{1, –2}
The number of solution of log
4
(x –= log
2
(x –
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3
0%
1
0%
2
0%
0
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0%
0
0%
1
0%
2
0%
Infinitely many solutions
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0%
2)
0%
0%
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0%
2
0%
6
0%
2/3
0%
None of these
If a + b + c = 0, then the roots of the equation 4ax
2
+ 3bx + 2c = 0 are, if a, b, c belongs to R
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0%
Equal
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Imaginary
0%
Real
0%
None of these
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Rational
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Irrational
0%
Real
0%
Imaginary
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0%
0
0%
–1
0%
2
0%
5
The value of k for which 2x
2
– kx + x + 8 = 0, has equal and real roots are
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–9 and –7
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9 and 7
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–9 and 7
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9 and –7
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Complex
0%
Real and distinct
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Real and equal
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None of these
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0%
2)
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