JEE Questions for Maths Equations And Inequalities Quiz 14 - MCQExams.com

If 2a + 3b + 6c = 0 then at least one root of the equation ax2 + bx + c = 0 lies in the interval
  • (0, 1)
  • (1, 2)
  • (2, 3)
  • (3, 4)

Maths-Equations and Inequalities-28767.png
  • Greater than of equal to α
  • Equal to α
  • Greater than α
  • Smaller than α

Maths-Equations and Inequalities-28769.png

  • Maths-Equations and Inequalities-28770.png
  • 2)
    Maths-Equations and Inequalities-28771.png

  • Maths-Equations and Inequalities-28772.png

  • Maths-Equations and Inequalities-28773.png

Maths-Equations and Inequalities-28775.png
  • –1
  • 0
  • abc
  • a + 2b + c
  • None of these
The value of b for which the equations
x2 + bx – 1 = 0
x2 + x + b = 0
have one root in common is

  • Maths-Equations and Inequalities-28777.png
  • 2)
    Maths-Equations and Inequalities-28778.png

  • Maths-Equations and Inequalities-28779.png

  • Maths-Equations and Inequalities-28780.png

Maths-Equations and Inequalities-28782.png

  • Maths-Equations and Inequalities-28783.png
  • 2)
    Maths-Equations and Inequalities-28784.png

  • Maths-Equations and Inequalities-28785.png

  • Maths-Equations and Inequalities-28786.png

Maths-Equations and Inequalities-28788.png
  • 3
  • 2
  • 1
  • None of these

Maths-Equations and Inequalities-28790.png

  • Maths-Equations and Inequalities-28791.png
  • 2)
    Maths-Equations and Inequalities-28792.png

  • Maths-Equations and Inequalities-28793.png

  • Maths-Equations and Inequalities-28794.png

Maths-Equations and Inequalities-28796.png
  • 1
  • 3
  • 5
  • 7

Maths-Equations and Inequalities-28798.png

  • Maths-Equations and Inequalities-28799.png
  • 2, 4, 8
  • 3, 6, 12
  • None of these

Maths-Equations and Inequalities-28801.png

  • Maths-Equations and Inequalities-28802.png
  • 2)
    Maths-Equations and Inequalities-28803.png

  • Maths-Equations and Inequalities-28804.png

  • Maths-Equations and Inequalities-28805.png

Maths-Equations and Inequalities-28807.png

  • Maths-Equations and Inequalities-28808.png
  • 2)
    Maths-Equations and Inequalities-28809.png

  • Maths-Equations and Inequalities-28810.png
  • None of these

Maths-Equations and Inequalities-28812.png
  • 2
  • 3
  • 4
  • 5

Maths-Equations and Inequalities-28814.png

  • Maths-Equations and Inequalities-28815.png
  • 2)
    Maths-Equations and Inequalities-28816.png

  • Maths-Equations and Inequalities-28817.png

  • Maths-Equations and Inequalities-28818.png

Maths-Equations and Inequalities-28820.png

  • Maths-Equations and Inequalities-28821.png
  • 2)
    Maths-Equations and Inequalities-28822.png

  • Maths-Equations and Inequalities-28823.png

  • Maths-Equations and Inequalities-28824.png

Maths-Equations and Inequalities-28826.png

  • Maths-Equations and Inequalities-28827.png
  • 2)
    Maths-Equations and Inequalities-28828.png

  • Maths-Equations and Inequalities-28829.png

  • Maths-Equations and Inequalities-28830.png

Maths-Equations and Inequalities-28832.png

  • Maths-Equations and Inequalities-28833.png
  • 2)
    Maths-Equations and Inequalities-28834.png

  • Maths-Equations and Inequalities-28835.png

  • Maths-Equations and Inequalities-28836.png
The sum of the fourth powers of the roots of the equation x3 + x + 1 = 0 is
  • –2
  • –1
  • 1
  • 2

Maths-Equations and Inequalities-28839.png

  • Maths-Equations and Inequalities-28840.png
  • 2)
    Maths-Equations and Inequalities-28841.png

  • Maths-Equations and Inequalities-28842.png

  • Maths-Equations and Inequalities-28843.png

  • Maths-Equations and Inequalities-28844.png

Maths-Equations and Inequalities-28846.png

  • Maths-Equations and Inequalities-28847.png
  • 2)
    Maths-Equations and Inequalities-28848.png

  • Maths-Equations and Inequalities-28849.png

  • Maths-Equations and Inequalities-28850.png

  • Maths-Equations and Inequalities-28851.png

Maths-Equations and Inequalities-28853.png

  • Maths-Equations and Inequalities-28854.png
  • 2)
    Maths-Equations and Inequalities-28855.png

  • Maths-Equations and Inequalities-28856.png

  • Maths-Equations and Inequalities-28857.png
For the equation |x|2 + |x| – 6 = 0, the roots are
  • One and only real numbers
  • Real with sum one
  • Real with sum zero
  • Real with product zero

Maths-Equations and Inequalities-28860.png

  • Maths-Equations and Inequalities-28861.png
  • 2)
    Maths-Equations and Inequalities-28862.png

  • Maths-Equations and Inequalities-28863.png
  • None of these
If the roots of the equation bx2 + cx + a= 0 be imaginary, then for all real values of x, the expression 3b2x2 +6bcx + 2c2 = 0 is
  • Greater than 4ab
  • Less than 4ab
  • Greater than –4ab
  • Less than –4ab

Maths-Equations and Inequalities-28865.png
  • (4, 4)
  • (–4, 4)
  • (4, –4)
  • (–4, 4)

Maths-Equations and Inequalities-28867.png
  • Real and imaginary
  • Real and equal
  • Imaginary
  • None of these

Maths-Equations and Inequalities-28869.png

  • Maths-Equations and Inequalities-28870.png
  • 2)
    Maths-Equations and Inequalities-28871.png

  • Maths-Equations and Inequalities-28872.png
  • None of these
If the roots of the equation qx2 + px + q = 0 where p, q are real, be complex, then the roots of the equation x2 – 4qx + p2 = 0 are
  • Real and unequal
  • Real and equal
  • Imaginary
  • None of these

Maths-Equations and Inequalities-28875.png

  • Maths-Equations and Inequalities-28876.png
  • 2)
    Maths-Equations and Inequalities-28877.png

  • Maths-Equations and Inequalities-28878.png

  • Maths-Equations and Inequalities-28879.png

Maths-Equations and Inequalities-28881.png

  • Maths-Equations and Inequalities-28882.png
  • 2)
    Maths-Equations and Inequalities-28883.png

  • Maths-Equations and Inequalities-28884.png

  • Maths-Equations and Inequalities-28885.png
The coefficient of x in the equation x2 + px + q = 0 was taken as17 in place of 13, its roots were round to be –2 and –15, the rots of the original equation are
  • 3, 10
  • –3, –10
  • –5, –18
  • None of these

Maths-Equations and Inequalities-28888.png

  • Maths-Equations and Inequalities-28889.png
  • 2)
    Maths-Equations and Inequalities-28890.png

  • Maths-Equations and Inequalities-28891.png

  • Maths-Equations and Inequalities-28892.png

Maths-Equations and Inequalities-28894.png
  • b
  • –b

  • Maths-Equations and Inequalities-28895.png

  • Maths-Equations and Inequalities-28896.png

Maths-Equations and Inequalities-28898.png

  • Maths-Equations and Inequalities-28899.png
  • 2)
    Maths-Equations and Inequalities-28900.png

  • Maths-Equations and Inequalities-28901.png

  • Maths-Equations and Inequalities-28902.png
If both the roots of the quadratic equation x2 – 2kx + k2 + k – 5 = 0 are less than 5, hen k lies in the interval
  • (–∞, 4)
  • [4, 5]
  • (5, 6]
  • (6, ∞)
If the roots of the equations x2 – bx + c = 0 and x2 – cx + b = 0 differ by the same quantity, then b + c is equal to
  • 4
  • 1
  • 0
  • –4

Maths-Equations and Inequalities-28906.png

  • Maths-Equations and Inequalities-28907.png
  • 2)
    Maths-Equations and Inequalities-28908.png

  • Maths-Equations and Inequalities-28909.png
  • None of these
In a triangle ABC, the value of ∠A is given by 5 cosA + 3 = 0, then the equation whose roots are sinA and tanA will be

  • Maths-Equations and Inequalities-28911.png
  • 2)
    Maths-Equations and Inequalities-28912.png

  • Maths-Equations and Inequalities-28913.png

  • Maths-Equations and Inequalities-28914.png

Maths-Equations and Inequalities-28916.png

  • Maths-Equations and Inequalities-28917.png
  • 2)
    Maths-Equations and Inequalities-28918.png

  • Maths-Equations and Inequalities-28919.png
  • None of these

Maths-Equations and Inequalities-28921.png
  • 8, –1
  • –9, 2
  • –8, 2
  • 9, 1

Maths-Equations and Inequalities-28923.png

  • Maths-Equations and Inequalities-28924.png
  • 2)
    Maths-Equations and Inequalities-28925.png

  • Maths-Equations and Inequalities-28926.png

  • Maths-Equations and Inequalities-28927.png

Maths-Equations and Inequalities-28929.png

  • Maths-Equations and Inequalities-28930.png
  • 2)
    Maths-Equations and Inequalities-28931.png

  • Maths-Equations and Inequalities-28932.png

  • Maths-Equations and Inequalities-28933.png

Maths-Equations and Inequalities-28935.png
  • 4
  • 0
  • 6
  • 2

Maths-Equations and Inequalities-28937.png

  • Maths-Equations and Inequalities-28938.png
  • 1

  • Maths-Equations and Inequalities-28939.png

  • Maths-Equations and Inequalities-28940.png
The product of all real roots of the equation x2 – |x| – 6 = 0 is
  • –9
  • 6
  • 9
  • 36
For the equation 3x2 + px + 3 = 0, p > 0 if one of the root is square of the other, then p is equal to
  • 1/3
  • 1
  • 3
  • 2/3

Maths-Equations and Inequalities-28944.png

  • Maths-Equations and Inequalities-28945.png
  • 2)
    Maths-Equations and Inequalities-28946.png

  • Maths-Equations and Inequalities-28947.png

  • Maths-Equations and Inequalities-28948.png
If x2 + px + q = 0 is the quadratic equation whose rots are a – 2 and b – 2 where a and b are the roots of x2 – 3x + 1 = 0 then
  • p = 1, q = 5
  • p = 1, q = –5
  • p = –1, q = 1
  • none of these
The value of ‘a’ for which one root of the quadratic equation (a2 – 5a + 3)x2 + (3a – 1)x + 2 = 0 is twice as large as the other is

  • Maths-Equations and Inequalities-28951.png
  • 2)
    Maths-Equations and Inequalities-28952.png

  • Maths-Equations and Inequalities-28953.png

  • Maths-Equations and Inequalities-28954.png

Maths-Equations and Inequalities-28956.png
  • A.P
  • G.P
  • H.P
  • None of these
0:0:1


Answered Not Answered Not Visited Correct : 0 Incorrect : 0

Practice Maths Quiz Questions and Answers