ECAT Computer Science Test Preparation Online for Pakistani Students

If f(x) = c then∱¹(x) equals:

• 1 A
• 0 B
• cx C
• c D

A diagonal matrix in which the diagonal elements are equal is called a

• Null matrix A
• Identity matrix B
• Scalar matrix C
• Row matrix D

• 0 A
• 1 B
• 2 C
• 3 D

Cos-1 (-x) =

• -x A
• 1/x B
• tan-1 x C
• π-cos-1 x D

• 8 A
• 9 B
• 10 C
• 11 D

If a 1-1 correspondence can be established b/w two sets A and B, then they are called

• Equal sets A
• Equivalent sets B
• Over lapping sets C
• None of these D

• -10 A
• 10/7 B
• -10/7 C
• -7/10 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• Diagonal matrix A
• Scalar matrix B
• Triangular matrix C
• Identity matrix D

Equation of normal to the circle x2 + y2 =25 at (5cosθ,5sinθ)

• xcosθ+ysinθ =5 A
• xcosθ -ysinθ =0 B
• xsinθ -ycosθ =0 C
• None of these D

If x² + y² = 1, then dy/dx

• y/x A
• -x/y B
• 1/x C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

The matrix A is Hermitian when (A)' =

• A A
• -A B
• A C
• A' D

• 
  A
• 
  B
• 
  C
• 
  D

p, q, r and s are integers. If the A.M. of the roots of x2- px + q2= 0 and G.M. of the roots of x2- rx + s2= 0 are equal, then

• q is an odd integer A
• r is an even integer B
• p is an even integer C
• s is an odd integer D

• -a -b -c A
• 1 B
• 0 C
• -1 D

• x³⁹ A
• 40x³⁹ B
• 40x⁴¹ C
• none of these D

• 0 A
• 1 B
• 2 C
• 3 D

• 2 A
• 6 B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

Matrices A = [aij] 2 x 3 and B =[bij] 3 x 2 are suitable for

• BA A
• A² B
• AB C
• B² D

If 3x4 +4x3+x5is divided by x+1 , which of the following is the remainder

• 7 A
• -2 B
• 6 C
• 1 D

• sec 3x + c A
• - cosec 3x + c B
• 
  C
• 
  D

A fraction in which the degree of the numerator is less the degree of the denominator is called

• Polynomial A
• Proper fraction B
• Rational fraction C
• None D

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following is a scalar.

• force A
• frequency B
• weight C
• acceleration D

The distance between the points A(3,1) and B(-2,-4) is

• 5 A
• 
  B
• 25 C
• 10 D

The tangents drawn from the point P to a circle are real and distinct if

• P is on the circle A
• P is inside the circle B
• P is outside the circle C
• none of these D

• xa^x-1 A
• a^x B
• x in a C
• a^xIn a D