JEE Questions for Maths Equations And Inequalities Quiz 15 - MCQExams.com

If (1 + i) is a root of the equation x2 – x + (1 – i) = 0 then the other root is
  • 1 – i
  • i
  • –i
  • 2i
  • –2i

Maths-Equations and Inequalities-28959.png
  • 4
  • 2
  • 1
  • None of these

Maths-Equations and Inequalities-28961.png

  • Maths-Equations and Inequalities-28962.png
  • 2)
    Maths-Equations and Inequalities-28963.png

  • Maths-Equations and Inequalities-28964.png
  • None of these
The values of a for which 2x2 – 2(2a)x + a(a += 0 may have one root less than a and other root greater than a are given by
  • 1 > a > 0
  • –1 < a < 0
  • a ≥ 0
  • a < 0 or a < –1

Maths-Equations and Inequalities-28967.png

  • Maths-Equations and Inequalities-28968.png
  • 2)
    Maths-Equations and Inequalities-28969.png

  • Maths-Equations and Inequalities-28970.png

  • Maths-Equations and Inequalities-28971.png

Maths-Equations and Inequalities-28973.png

  • Maths-Equations and Inequalities-28974.png
  • 2)
    Maths-Equations and Inequalities-28975.png

  • Maths-Equations and Inequalities-28976.png

  • Maths-Equations and Inequalities-28977.png

Maths-Equations and Inequalities-28979.png

  • Maths-Equations and Inequalities-28980.png
  • 2)
    Maths-Equations and Inequalities-28981.png

  • Maths-Equations and Inequalities-28982.png

  • Maths-Equations and Inequalities-28983.png

Maths-Equations and Inequalities-28985.png

  • Maths-Equations and Inequalities-28986.png
  • 2)
    Maths-Equations and Inequalities-28987.png

  • Maths-Equations and Inequalities-28988.png

  • Maths-Equations and Inequalities-28989.png

Maths-Equations and Inequalities-28991.png
  • 6, 4, –1
  • 6, 4, 1
  • –6, 4, 1
  • –6, –4, 1
If 3 ≤ 3t – 18 ≤ 18, then which one of the following is true?

  • Maths-Equations and Inequalities-28993.png
  • 2)
    Maths-Equations and Inequalities-28994.png

  • Maths-Equations and Inequalities-28995.png

  • Maths-Equations and Inequalities-28996.png

  • Maths-Equations and Inequalities-28997.png

Maths-Equations and Inequalities-28999.png
  • a and b
  • a and c
  • b and c
  • a and d

Maths-Equations and Inequalities-29001.png
  • a and b
  • a and d
  • c and d
  • c and b
Read the following statements carefully to the correct option out of the options given below:
Maths-Equations and Inequalities-29003.png
  • Statement 1 is true, statement 2 is true; statement 2 is correct explanation for statement 1
  • Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1
  • Statement 1 is true, statement 2 is false
  • Statement 1 is false, statement 2 is true.
If |x2 – x – 6| = x + 2, then the values of x are
  • –2, 2, –4
  • –2, 2, 4
  • 3, 2, –2
  • 4, 4, –3
The positive value of k for which kex – x = 0 has only one root is
  • 1/e
  • 1
  • e
  • loge2
The number of integral values of b, for which the equation x2 + bx – 16 = 0 has integral roots, is
  • 2
  • 3
  • 4
  • 5
  • 6

Maths-Equations and Inequalities-29008.png
  • Both negative
  • Both positive
  • Both real
  • One negative and one positive

Maths-Equations and Inequalities-29010.png

  • Maths-Equations and Inequalities-29011.png
  • 0

  • Maths-Equations and Inequalities-29012.png

  • Maths-Equations and Inequalities-29013.png

Maths-Equations and Inequalities-29015.png
  • A.P
  • G.P
  • H.P
  • None of these

Maths-Equations and Inequalities-29017.png

  • Maths-Equations and Inequalities-29018.png
  • 2)
    Maths-Equations and Inequalities-29019.png

  • Maths-Equations and Inequalities-29020.png

  • Maths-Equations and Inequalities-29021.png

Maths-Equations and Inequalities-29023.png

  • Maths-Equations and Inequalities-29024.png
  • 2)
    Maths-Equations and Inequalities-29025.png

  • Maths-Equations and Inequalities-29026.png
  • None of these

Maths-Equations and Inequalities-29028.png

  • Maths-Equations and Inequalities-29029.png
  • 2)
    Maths-Equations and Inequalities-29030.png

  • Maths-Equations and Inequalities-29031.png
  • None of these
Two students while solving a quadratic equation in x, one copied the constant term incorrectly and got the roots 3 and 2. The other copied the constant term and coefficient of x2 correctly as –6 and 1 respectively. The correct roots are
  • 3, –2
  • –3, 2
  • –6, –1
  • 6, –1

Maths-Equations and Inequalities-29034.png

  • Maths-Equations and Inequalities-29035.png
  • 2)
    Maths-Equations and Inequalities-29036.png

  • Maths-Equations and Inequalities-29037.png

  • Maths-Equations and Inequalities-29038.png

Maths-Equations and Inequalities-29040.png

  • Maths-Equations and Inequalities-29041.png
  • 2)
    Maths-Equations and Inequalities-29042.png

  • Maths-Equations and Inequalities-29043.png

  • Maths-Equations and Inequalities-29044.png
  • All of these

Maths-Equations and Inequalities-29046.png
  • All real and equal
  • All real and distinct
  • One real and two imaginary
  • All real and two equal

Maths-Equations and Inequalities-29048.png
  • 4, –2
  • –4, –2
  • 4, 2
  • –4, 2

Maths-Equations and Inequalities-29050.png
  • a = 3, b = 12
  • a = 12, b = 3
  • a = 2, b = 32
  • a = 4, b = 16

Maths-Equations and Inequalities-29052.png
  • 3
  • 4
  • 5
  • None of these
If 2 + i is a root of the equation x2 –5x2 + 9x – 5 = 0, then the other roots are
  • 1 and 2 – i
  • –1 and 3 + i
  • 0 and 1
  • –1 and i – 2

Maths-Equations and Inequalities-29055.png
  • –1, 2
  • –1, 1
  • 0, –1
  • 0, 1

Maths-Equations and Inequalities-29057.png

  • Maths-Equations and Inequalities-29058.png
  • 2)
    Maths-Equations and Inequalities-29059.png

  • Maths-Equations and Inequalities-29060.png
  • None of these

Maths-Equations and Inequalities-29062.png

  • Maths-Equations and Inequalities-29063.png
  • 2)
    Maths-Equations and Inequalities-29064.png

  • Maths-Equations and Inequalities-29065.png

  • Maths-Equations and Inequalities-29066.png
The condition that x3 – 3px + 2q may be divisible by a factor of the form x2 + 2ax + a2 is

  • Maths-Equations and Inequalities-29068.png
  • 2)
    Maths-Equations and Inequalities-29069.png

  • Maths-Equations and Inequalities-29070.png

  • Maths-Equations and Inequalities-29071.png
The diagram shows the graph of y =ax2 + bx + c. Then
a > 0
b < 0
c > 0
b2 – 4ac = 0
Maths-Equations and Inequalities-29073.png
  • b and c
  • a and b
  • a and c
  • a and d
The number of values of k for which the equation x2 – 3x + k = 0 has two real and distinct roots lying in the interval (0,are
  • 0
  • 2
  • 3
  • Infinitely many

Maths-Equations and Inequalities-29076.png
  • –3q
  • –p
  • –pq
  • 3pq

Maths-Equations and Inequalities-29078.png
  • 1
  • 2
  • 3
  • 4
Number of solution of |x – 1| = cosx is
  • 2
  • 3
  • 4
  • None of these

Maths-Equations and Inequalities-29081.png
  • E → (i); B → (ii); D → (iii); F → (iv)
  • E → (i); B → (ii); A → (iii); D → (iv)
  • E → (i); D → (ii); B → (iii); F → (iv)
  • E → (i); B → (ii); D → (iii); A → (iv)

Maths-Equations and Inequalities-29083.png
  • b and d
  • b and c
  • b and a
  • a and c

Maths-Equations and Inequalities-29085.png

  • Maths-Equations and Inequalities-29086.png
  • 2)
    Maths-Equations and Inequalities-29087.png

  • Maths-Equations and Inequalities-29088.png

  • Maths-Equations and Inequalities-29089.png

  • Maths-Equations and Inequalities-29090.png
Let a, b, c be three numbers such that a + 2b + 4c = 0. Then the equation ax2 + bx + c = 0
  • Has both the roots complex
  • Has its roots lying within –1 < x < 0
  • Has one of the roots equal to 1/2
  • Has its roots lying within 2 < x < 6
0:0:1


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