JEE Questions for Maths Equations And Inequalities Quiz 11 - MCQExams.com

Sum of roots is –1 and sum of their reciprocals is 1/6, then equation is

  • Maths-Equations and Inequalities-28240.png
  • 2)
    Maths-Equations and Inequalities-28241.png

  • Maths-Equations and Inequalities-28242.png

  • Maths-Equations and Inequalities-28243.png
If the sum of the roots of the equation x2 + px + q = 0 is equal to the sum their squares then

  • Maths-Equations and Inequalities-28245.png
  • 2)
    Maths-Equations and Inequalities-28246.png

  • Maths-Equations and Inequalities-28247.png
  • None of these

Maths-Equations and Inequalities-28249.png

  • Maths-Equations and Inequalities-28250.png
  • 2)
    Maths-Equations and Inequalities-28251.png

  • Maths-Equations and Inequalities-28252.png

  • Maths-Equations and Inequalities-28253.png

Maths-Equations and Inequalities-28255.png
  • 1
  • –2
  • 2
  • None of these

Maths-Equations and Inequalities-28257.png

  • Maths-Equations and Inequalities-28258.png
  • 2)
    Maths-Equations and Inequalities-28259.png

  • Maths-Equations and Inequalities-28260.png

  • Maths-Equations and Inequalities-28261.png
The condition whose root of the equation ax2 + bx + c = 0 is three times the other is

  • Maths-Equations and Inequalities-28263.png
  • 2)
    Maths-Equations and Inequalities-28264.png

  • Maths-Equations and Inequalities-28265.png

  • Maths-Equations and Inequalities-28266.png
The equation of the smallest degree with real coefficient having 1 + i as one of the root is

  • Maths-Equations and Inequalities-28268.png
  • 2)
    Maths-Equations and Inequalities-28269.png

  • Maths-Equations and Inequalities-28270.png

  • Maths-Equations and Inequalities-28271.png

Maths-Equations and Inequalities-28273.png

  • Maths-Equations and Inequalities-28274.png
  • 1
  • 0

  • Maths-Equations and Inequalities-28275.png

Maths-Equations and Inequalities-28277.png

  • Maths-Equations and Inequalities-28278.png
  • 2)
    Maths-Equations and Inequalities-28279.png

  • Maths-Equations and Inequalities-28280.png

  • Maths-Equations and Inequalities-28281.png

Maths-Equations and Inequalities-28283.png

  • Maths-Equations and Inequalities-28284.png
  • 2)
    Maths-Equations and Inequalities-28285.png

  • Maths-Equations and Inequalities-28286.png
  • None of these

Maths-Equations and Inequalities-28288.png
  • –1
  • 0
  • 1
  • 2

Maths-Equations and Inequalities-28290.png
  • 1
  • 2
  • 3
  • 4

Maths-Equations and Inequalities-28292.png
  • 1
  • 2
  • 3
  • None of these

Maths-Equations and Inequalities-28294.png
  • 0
  • 1
  • 2
  • –1
The number of real solutions of the equation |x| = cosx
  • One
  • Two
  • Three
  • Zero
If x is real, then the value of x2 – 6x +13 will not be less than
  • 4
  • 6
  • 7
  • 8
The smallest value of x2 – 3x + 3 in the interval (–3, 3/is
  • 3/4
  • 5
  • –15
  • –20
Let f(x) = x2 + 4x + 1. Then
  • f(x) > 0 for all x
  • f(x) > 1 when x ≥ 0
  • f(x) ≥ 1 when x ≤ –4
  • f(x) = f(–x) for all x
The adjoining figure shows the graph of y = ax2 + bx + c. Then
Maths-Equations and Inequalities-28300.png
  • a < 0
  • b2 < 4ac
  • c > 0
  • a and b are of opposite signs
The quadratic equations x2 – 6x + a = 0 and x2 – 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
  • 4
  • 3
  • 2
  • 1

Maths-Equations and Inequalities-28303.png
  • 13
  • 11
  • 7
  • 9

Maths-Equations and Inequalities-28305.png

  • Maths-Equations and Inequalities-28306.png
  • 2)
    Maths-Equations and Inequalities-28307.png

  • Maths-Equations and Inequalities-28308.png

  • Maths-Equations and Inequalities-28309.png
The complete solution of the equation x2 – 4x < 12 is
  • x < –2 or x > 6
  • –6 < x < 2
  • 2 < x < 6
  • –2 < x < 6

Maths-Equations and Inequalities-28312.png
  • –5 < a < 2
  • a < –5
  • a > 5
  • 2 < a < 5

Maths-Equations and Inequalities-28314.png
  • 1
  • 3
  • 5
  • 7
If two roots of the equation x3 – 3x + 2 = 0 are same, then the roots will be
  • 2, 2, 3
  • 1, 1, –2
  • –2, 3, 3
  • –2, 2, 1

Maths-Equations and Inequalities-28317.png

  • Maths-Equations and Inequalities-28318.png
  • 2)
    Maths-Equations and Inequalities-28319.png

  • Maths-Equations and Inequalities-28320.png

  • Maths-Equations and Inequalities-28321.png

Maths-Equations and Inequalities-28323.png
  • –r
  • r
  • 2r
  • –2r

Maths-Equations and Inequalities-28325.png
  • 0
  • –3
  • 3
  • –1

Maths-Equations and Inequalities-28327.png

  • Maths-Equations and Inequalities-28328.png
  • 2)
    Maths-Equations and Inequalities-28329.png

  • Maths-Equations and Inequalities-28330.png
  • 4

Maths-Equations and Inequalities-28332.png

  • Maths-Equations and Inequalities-28333.png
  • 2)
    Maths-Equations and Inequalities-28334.png

  • Maths-Equations and Inequalities-28335.png

  • Maths-Equations and Inequalities-28336.png

  • Maths-Equations and Inequalities-28337.png
The condition that x3 – px2 + qx – r = 0 may have two of its roots equal to each other but opposite in sign is
  • r = pq
  • r = 2p3 + pq
  • r = p2q
  • None of these

Maths-Equations and Inequalities-28340.png
  • k = 1
  • k = 2
  • k = 3
  • none of these

Maths-Equations and Inequalities-28342.png
  • 0
  • 2)
    Maths-Equations and Inequalities-28343.png

  • Maths-Equations and Inequalities-28344.png
  • None of these

Maths-Equations and Inequalities-28346.png

  • Maths-Equations and Inequalities-28347.png
  • 2)
    Maths-Equations and Inequalities-28348.png

  • Maths-Equations and Inequalities-28349.png

  • Maths-Equations and Inequalities-28350.png

Maths-Equations and Inequalities-28352.png

  • Maths-Equations and Inequalities-28353.png
  • 2)
    Maths-Equations and Inequalities-28354.png

  • Maths-Equations and Inequalities-28355.png

  • Maths-Equations and Inequalities-28356.png
If A, B, C are acute angles such that tanA + tanB + tanC= tanA tanB tanC. Then cotA cotB cotC is

  • Maths-Equations and Inequalities-28358.png
  • 2)
    Maths-Equations and Inequalities-28359.png

  • Maths-Equations and Inequalities-28360.png
  • none of these

Maths-Equations and Inequalities-28362.png

  • Maths-Equations and Inequalities-28363.png
  • 2)
    Maths-Equations and Inequalities-28364.png
  • 0, 1
  • 0, 2

  • Maths-Equations and Inequalities-28365.png

Maths-Equations and Inequalities-28367.png

  • Maths-Equations and Inequalities-28368.png
  • 2)
    Maths-Equations and Inequalities-28369.png

  • Maths-Equations and Inequalities-28370.png

  • Maths-Equations and Inequalities-28371.png

Maths-Equations and Inequalities-28373.png
  • 3
  • 2
  • 1
  • None of these
The number of the roots of the quadratic equation 8sec2 θ – 6sec(θ) + 1 = 0 is
  • Infinite
  • 1
  • 2
  • 0
The number which exceeds its positive square root by 12 is
  • 9
  • 16
  • 25
  • None of these
The number of real solution of the equation |x|2 - 3|x| + 2 = 0 is
  • Infinite
  • 1
  • 2
  • None of these

Maths-Equations and Inequalities-28378.png
  • 1
  • 2
  • Infinite
  • None of these
The number of real solutions of the equation |x|2 + 4x + 3| + 2x + 5 = 0 is
  • 1
  • 2
  • 3
  • 4

Maths-Equations and Inequalities-28381.png

  • Maths-Equations and Inequalities-28382.png
  • 2)
    Maths-Equations and Inequalities-28383.png

  • Maths-Equations and Inequalities-28384.png

  • Maths-Equations and Inequalities-28385.png

Maths-Equations and Inequalities-28387.png
  • 45
  • 47
  • 49
  • 50

Maths-Equations and Inequalities-28389.png
  • 2
  • 3
  • 6
  • 5

Maths-Equations and Inequalities-28391.png

  • Maths-Equations and Inequalities-28392.png
  • 2)
    Maths-Equations and Inequalities-28393.png

  • Maths-Equations and Inequalities-28394.png

  • Maths-Equations and Inequalities-28395.png
If |x – 2| + |x – 3| = 7 then x =
  • 6
  • –1
  • 6 or –1
  • None of these
0:0:1


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