The set {1,-1, i, -i} form a group under

• Addition A
• Multiplication B
• Subtraction C
• None D

• 
  A
• 
  B
• 
  C
• 
  D

Name the property used in 4.1 + (-4.1) = 0

• Additive inverse A
• Multiplication inverse B
• Additive identity C
• Multiplication identity D

If a,β are the roots of ax2+bx+c=0,the equation whose roots are doubled is

• ay2 +2by+c=0 A
• ay2+2by+4c=0 B
• ay2+2by+c=0 C
• ay2+by+4c=0 D

The parabolay2=4ax open up if

• a<0 A
• a≠0 B
• a>0 C
• All are incorrect D

What is the period of cos 6x =?

• π/2 A
• π/3 B
• π/4 C
• π D

• Closure law of addition A
• Closure law of multiplication B
• Commutative law of addition C
• Commutative law of multiplication D

• 3 A
• 1 B
• 4 C
• 
  D

The set of complex numbers forms

• Commutative group w.r.t addition A
• Commutative group w.r.t multiplication B
• Commutative group w.r.t division C
• Non commutative group w.r.t addition D

If a₁= a₂= 2, a_n= a_n-1- 1 (n > 2), then a₅is

• 1 A
• 0 B
• -1 C
• -2 D

• 
  A
• 
  B
• 
  C
• 
  D

If T = {2,4,6,8,10,12}, then

• T = (First six natural numbers) A
• T = (First six odd numbers) B
• T = (First six real numbers) C
• T = ( First six even numbers) D

• 
  A
• 
  B
• 
  C
• 
  D

Tangent is a periodic function and its period is ______

• 2π A
• 3π B
• π C
• 4π D

sin (2π-θ)

• cosθ A
• sinθ B
• tanθ C
• -sinθ D

• 
  A
• 
  B
• 
  C
• 
  D

The domain of the principal tan function is

• 
  A
• 
  B
• 
  C
• 
  D

The probability that the sum of dots appearing in two successive thrown of two dice, in every time 7 is

• 1/5 A
• 1/36 B
• 1/7 C
• 1/63 D

The conic ax2+2hxy+by2+2gx+2fy+c= 0 never represent a circle if

• a≠ b,h≠0 A
• a=b B
• h≠0 C
• h=0 D

Every recurring decimal represents

• A natural number A
• A rational number B
• An irrational number C
• A whole number D

If the points (a,2b):(c,a+b):(2c-a,h) lie on the same line then

• h=2a A
• h=a+b B
• h=ab C
• h=ac D

The statement that a group can have more than one identity elements is

• True A
• False B
• Fallacious C
• Some times true D

The equation of the circle with centre (-h, -k) and radius r is

• (x +h)²+ (y+k)²= r² A
• (x +h)²+ (y-k)²= r² B
• (x -h)²+ (y+k)²= r² C
• (x -h)²+ (y-k)²= r² D

The mid point of the line segment joining the points (4,0) and (0,4) is

• (4,4) A
• (2,2) B
• (-4,-4) C
• (-2,-2) D

The principal value of sin^-1 (-1/2)

• π/3 A
• π/4 B
• π/6 C
• -π/6 D

If both p and q are false, then the disjunction of p and q is

• false A
• true B
• equal C
• equivalent D

The eccentricity of the parabola y²= -8x is

• -2 A
• 2 B
• -1 C
• 1 D

A non-terminating, non-recurring decimal represent

• A natural number A
• A rational number B
• An irrational number C
• A prime number D

• 
  A
• 
  B
• 
  C
• 
  D

The third term of a G.P. is the square of first term. If the second term is 8, then the 6th term is

• 120 A
• 124 B
• 128 C
• 132 D