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JEE Questions for Maths Equations And Inequalities Quiz 11 - MCQExams.com
JEE
Maths
Equations And Inequalities
Quiz 11
Sum of roots is –1 and sum of their reciprocals is 1/6, then equation is
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2)
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If the sum of the roots of the equation x
2
+ px + q = 0 is equal to the sum their squares then
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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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1
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–2
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2
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None of these
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2)
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The condition whose root of the equation ax
2
+ bx + c = 0 is three times the other is
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2)
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The equation of the smallest degree with real coefficient having 1 + i as one of the root is
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2)
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0%
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1
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0
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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–1
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0
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1
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2
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1
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2
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3
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4
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1
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2
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3
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None of these
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0
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1
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2
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–1
The number of real solutions of the equation |x| = cosx
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One
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Two
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Three
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Zero
If x is real, then the value of x
2
– 6x +13 will not be less than
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4
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6
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7
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8
The smallest value of x
2
– 3x + 3 in the interval (–3, 3/is
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3/4
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5
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–15
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–20
Let f(x) = x
2
+ 4x + 1. Then
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f(x) > 0 for all x
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f(x) > 1 when x ≥ 0
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f(x) ≥ 1 when x ≤ –4
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f(x) = f(–x) for all x
The adjoining figure shows the graph of y = ax
2
+ bx + c. Then
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a < 0
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b2 < 4ac
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c > 0
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a and b are of opposite signs
The quadratic equations x
2
– 6x + a = 0 and x
2
– cx + 6 = 0 have one root in common. The other roots of the first and second equations are integers in the ratio 4 : 3. Then the common root is
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4
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3
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2
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1
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13
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11
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7
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9
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2)
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The complete solution of the equation x
2
– 4x < 12 is
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x < –2 or x > 6
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–6 < x < 2
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2 < x < 6
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–2 < x < 6
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–5 < a < 2
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a < –5
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a > 5
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2 < a < 5
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1
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3
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5
0%
7
If two roots of the equation x
3
– 3x + 2 = 0 are same, then the roots will be
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2, 2, 3
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1, 1, –2
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–2, 3, 3
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–2, 2, 1
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2)
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0%
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–r
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r
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2r
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–2r
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0
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–3
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3
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–1
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2)
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4
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2)
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The condition that x
3
– px
2
+ qx – r = 0 may have two of its roots equal to each other but opposite in sign is
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r = pq
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r = 2p3 + pq
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r = p2q
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None of these
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k = 1
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k = 2
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k = 3
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none of these
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0
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2)
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0%
None of these
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0%
2)
0%
0%
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2)
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0%
If A, B, C are acute angles such that tanA + tanB + tanC= tanA tanB tanC. Then cotA cotB cotC is
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2)
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0%
none of these
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2)
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0, 1
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0, 2
0%
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2)
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0%
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3
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2
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1
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None of these
The number of the roots of the quadratic equation 8sec
2
θ – 6sec(θ) + 1 = 0 is
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Infinite
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1
0%
2
0%
0
The number which exceeds its positive square root by 12 is
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9
0%
16
0%
25
0%
None of these
The number of real solution of the equation |x|
2
- 3|x| + 2 = 0 is
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0%
Infinite
0%
1
0%
2
0%
None of these
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1
0%
2
0%
Infinite
0%
None of these
The number of real solutions of the equation |x|
2
+ 4x + 3| + 2x + 5 = 0 is
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1
0%
2
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3
0%
4
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2)
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0%
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45
0%
47
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49
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50
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2
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3
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6
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5
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2)
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If |x – 2| + |x – 3| = 7 then x =
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6
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–1
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6 or –1
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None of these
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