Important Questions of Complex Numbers and Quadratic Equations Mathematics | Zigya

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131.

If x2 -  x - 6 = x + 2, then the values of x are

  • - 2, 2, - 4

  • - 2, 2, 4

  • 3, 2, - 2

  • 4, 4, 3


132.

If α and β are the roots of x2 - ax + b = 0 and if αn and βn = Vn, then

  • V+ 1 = aVn + bVn - 1

  • V+ 1 = aVn + aVn - 1

  • V+ 1 = aVn - bVn - 1

  • V+ 1 = aVn - 1 + bVn


133.

The number of integral values of K, for which the equation 7cosx + 5sinx = 2K + 1 has a solution

  • 4

  • 8

  • 10

  • 12


134.

If the complex numbers z1, z2 and z3 are in AP, then they lie on a

  • circle

  • parabola

  • line

  • ellipse


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135.

The number of real solutions of the equation

910 = - 3 + x - x2 is

  • 0

  • 1

  • 2

  • None of these


136.

If one root is square of the other root of the equation x2 + px + q = 0 , then the relations between p and q is

  • p3 - (3p - 1)q + q2 = 0

  • p3 - q(3p + 1) + q2 = 0

  • p3 + (3p - 1)q + q2 = 0

  • p3 + (3p + 1)q + q2 = 0


137.

The coefficient of x53 in the following expansions

m = 0100Cm100x - 3100 - m . 2m is

  • C47100

  • C53100

  • C53100

  • C100100


138.

If x + iy = 1 - i3100, then find (x, y).

  • 299, 2993

  • 299, - 2993

  • - 299, 2993

  • None of these


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139.

If x2 + 2x + 72x + 3 < 6, x  R, then

  • x > 11 or x = - 32

  • x > 11 or x < - 1

  • - 32 < x < - 1

  • - 1 < x < 11 or x < - 32


140.

If D is the set of all real x such that 1 - e(1/x) - 1 is positive, then D is equal to

  • (- , 1]

  • - , 0

  • 1, 

  • - , 0  1, 


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