If x2 + 2x + 72x + 3 <

Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
Advertisement

 Multiple Choice QuestionsMultiple Choice Questions

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


Advertisement
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


Advertisement
Advertisement

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


D.

- 1 < x < 11 or x < - 32

Given,  x2 + 2x + 72x + 3 < 6 x2 + 2x + 72x + 3 - 6 < 0     x2 - 10x - 112x + 3 < 0    x - 11x + 12x + 3 < 0 x - 11x + 12x + 32x + 32 < 0  x - 11x + 12x + 3 < 0 x  - , - 32  - 1, 11


Advertisement
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, 


Advertisement