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12th Standard Maths Theory of Equations English Medium Free Online Test One Mark Questions 2020 - 2021

12th Standard

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Maths

Time : 00:10:00 Hrs
Total Marks : 10

    Answer all the questions

    10 x 1 = 10
  1. A zero of x3 + 64 is

    (a)

    0

    (b)

    4

    (c)

    4i

    (d)

    -4

  2. According to the rational root theorem, which number is not possible rational root of 4x7+2x4-10x3-5?

    (a)

    -1

    (b)

    \(\frac { 5 }{ 4 } \)

    (c)

    \(\frac { 4 }{ 5 } \)

    (d)

    5

  3. The number of real numbers in [0,2π] satisfying sin4x-2sin2x+1 is

    (a)

    2

    (b)

    4

    (c)

    1

    (d)

  4. The polynomial x3+2x+3 has

    (a)

    one negative and two real roots

    (b)

    one positive and two imaginary roots

    (c)

    three real roots

    (d)

    no solution

  5. Ifj(x) = 0 has n roots, thenf'(x) = 0 has __________ roots

    (a)

    n

    (b)

    n -1

    (c)

    n+1

    (d)

    (n-r)

  6. Let a > 0, b > 0, c >0. h n both th root of th quatlon ax2+b+C= 0 are

    (a)

    real and negative

    (b)

    real and positive

    (c)

    rational numb rs

    (d)

    none

  7. If the equation ax2+ bx+c=0(a>0) has two roots ∝ and β such that ∝<- 2 and β > 2, then

    (a)

    b2-4ac=0

    (b)

    b2 - 4ac <0

    (c)

    b2 - 4ac >0

    (d)

    b2 - 4ac≥0

  8. If ∝, β, ૪ are the roots of the equation x3-3x+11=0, then ∝+β+૪ is __________.

    (a)

    0

    (b)

    3

    (c)

    -11

    (d)

    -3

  9. If x2 - hx - 21 = 0 and x2 - 3hx + 35 = 0 (h > 0) have a common root, then h = ___________

    (a)

    0

    (b)

    1

    (c)

    4

    (d)

    3

  10. If p(x) = ax2 + bx + c and Q(x) = -ax2 + dx + c where ac ≠ 0 then p(x). Q(x) = 0 has at least _______ real roots.

    (a)

    no

    (b)

    1

    (c)

    2

    (d)

    infinite

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