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JEE Questions for Maths Equations And Inequalities Quiz 13 - MCQExams.com
JEE
Maths
Equations And Inequalities
Quiz 13
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2
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6
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8
If the roots of x
2
– bx + c = 0 are two consecutive integers, then b
2
– 4c is
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4
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None of these
The equation formed by decreasing each root of ax
2
= bx + c = 0 by 1 is 2x
2
+ 8x + 2= 0, then
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a = –b
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b = –c
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c = –a
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b = a + c
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None of these
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–2, –32
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–2, 3
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–6, 3
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–6, –32
If A.M of the roots of the quadratic equation is 8/5 and A.M. of their reciprocals is 8/7, then the equation is
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4
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If the roots of the equation 12x
2
– mx + 5 = 0 are in the ratio 2 : 3 then m =
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None of these
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The equation whose roots are reciprocal of the roots of the equation 3x
2
– 20x + 17 = 0 is
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None of these
If the roots of 4x
2
+ 5k = (5k + 1)x differ by unity, then the negative value of k is
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–3
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–5
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–1/5
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–3/5
Let two numbers have arithmetic mean 9 and geometric mean 4. Then these numbers are the roots of the quadratic equation
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If one root of the equation x
2
+ px + q = 0 is the square of the other, then
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4192
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4144
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4096
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4048
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-1
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0
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10
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22
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30
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29
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31
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None of these
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0
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a + c
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ac
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–ac
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20
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40
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(3, 4)
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(4, 5)
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(4, 3)
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(5, 4)
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(3, 4)
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(4, 5)
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(4, 3)
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(5, 4)
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1/4
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41
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1
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17/7
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(20, 45)
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(35, 20)
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(45, 35)
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(35, 45)
If x
2
+ px + 1 is a factor of the expression ax
3
+ bx + c, then
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None of these
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Non negative
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Non positive
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Zero
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None of these
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5
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6
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1
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2
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a > b > c
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a < b < c
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a > c < b
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a < c < b
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2, 1
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5, 1/5
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7, 1/7
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None of these
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– 9 and –5
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–5 and 9
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0 and 9
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5 and 9
If the roots of x
2
+ x + a = 0 exceed a, then
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2 < a < 3
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a > 3
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–3 < a < 3
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a < –2
If the roots of the equation x
2
– 2ax + a
2
+ a – 3 = 0 are real and less then 3, then
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a < 2
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2 ≤ a ≤ 3
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3 < a ≤ 4
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a > 4
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3
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10
If a, b, c are real numbers such that a + b + c = 0, then the quadratic equation 3ax
2
+ 2bx + c = 0 has
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At least one root in [0, 1]
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At least one root in [1, 2]
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At least one root in [–1, 0]
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None of the above
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The maximum possible number of real roots of equation x
5
– 6x
2
– 4x + 5 = 0
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0
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3
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4
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5
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