ECAT Computer Science Test Preparation Online for Pakistani Students

If A and B are skew-symmetric then (AB)t is

• At Bt A
• AB B
• -AB C
• BA D

If x + y + 1 = 0 touches the parabola y²=λx, thenλis equal to

• 2 A
• 4 B
• 6 C
• 8 D

(A ∩ B)c =

• A∩ B A
• (A ∪ B)c B
• Ac∪Bc C
• Φ D

If P, Q, R be the A.M., G.M., H.M. respectively between any two rational numbers a and b, then P - Q is

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• In(x²- x + 1) + c B
• 
  C
• In(2x - 1) + c D

2x³+ 3x + 9 is a ______

• Polynomial of degree 3 A
• Quadratic equation B
• Cubic equation C
• Polynomial of degree 2 D

If A and B are two matrices of order 2 x 3 and 3 x1, respectively, then A+B =

• B+A A
• AB B
• Not Possible C
• 0 D

Range of cosec x is ______

• {-1, 1} A
• R B
• Negative real numbers C
• R - { x | - 1 < x < 1} D

Period of tan 4x is ______

• 
  A
• 
  B
• 
  C
• 
  D

The largest possible domain of the function:

y=√(x ) is:

• (0 ,∞) A
• 12 B
• (3 , 12) C
• ( 3 ,∞) D

Equation of parabola with focus F(-3,1) directrix x=3 is

• (y -1)2 =-12x A
• (y-1)2 =4x B
• (x+3)2 =4a(y-1) C
• y2 =-12(x-1) D

• 
  A
• 
  B
• 
  C
• 
  D

The minimum value of the function f(x) = x² - x - 2 is.

• -9/2 A
• -1 B
• -9/4 C
• 0 D

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following is a vector.

• distance A
• temperature B
• energy C
• acceleration D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

If y=f(x) is a function then y is called

• dependent variable A
• independent variable B
• constant C
• none of these D

The function whose range consists of just one element is called

• One-One Function A
• Identity Function B
• Onto Function C
• Constant Function D

The slope of the tangent at the point (h,h) of the circle x2 +y2 =a2 is

• 0 A
• 1 B
• -1 C
• h D

I f the focus is F ( 0,-a) and directrix is the line v=a, then equation of the parabola is:

• x² = 4ay A
• y² = 4ax B
• y² = -4ax C
• x² = 4ax D

The roots of ax2+bx+c=0 are

• Rational ⇔ b2 -4 ac ≥ 0 A
• Irrational ⇔ b2-4 ac > 0 B
• Real ⇔ b2-4 ac ≠ 0 C
• Rational⇔ b2-4 ac = 0 D

• 
  A
• 
  B
• 
  C
• 
  D

Sin^-1(-x)=

• Cos^-11/x A
• - Sin^-1X B
• Cot^-1X C
• None of these D

Sin h^-1x = _________

• 
  A
• 
  B
• 
  C
• 
  D

The total number of subsets that can be formed out of the set {a, b, c} is

• 1 A
• 4 B
• 8 C
• 12 D

• a tan(ax + b) + c A
• - a tan(ax + b) + c B
• 
  C
• 
  D

The set {-1, 1} is

• Group under the multiplication A
• Group under addition B
• Does not form a group C
• Contains no identity element D

The second degree equation 2x2 -xy+ 5x -2y +2 =0 represents

• Circle A
• Hyperbola B
• Ellipse C
• Pair of straight lines D

Period of sec x is ______

• 
  A
• 
  B
• 
  C
• 
  D