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12th Standard English Medium Maths Subject Theory of Equations Creative 1 Mark Questions with Solution Part - II

12th Standard

    Reg.No. :
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Maths

Time : 01:00:00 Hrs
Total Marks : 5

    1 Marks

    5 x 1 = 5
  1. If a, b, c ∈ Q and p +√q (p, q ∈ Q) is an irrational root of ax2+bx+c = 0 then the other root is ___________

    (a)

    -p+√q

    (b)

    p-iq

    (c)

    p-√q

    (d)

    -p-√q

  2. If f(x) = 0 has n roots, then f'(x) = 0 has __________ roots

    (a)

    n

    (b)

    n -1

    (c)

    n+1

    (d)

    (n-r)

  3. 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

  4. 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

  5. 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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