PRE TEST DKA1A DBM10163 WORKSYOP SESSION 2: 2024/2025

Factorize the quadratic equations given x² - 4. Choose the correct answer.

• (x-2)(x+2)

• 
  (x+2)(x+2)

• (x-4)(x+4)

• 
  (x-2)²

Choose the best solutions for the algebraic fraction given.

• (9y) / 7
• (10y) / 8
• (8y) / 9
• (6y) / 5

Simplify the algebraic fraction given.

• 
  5/3(x-2)

• 
  3(x-3)/5(x-2)

• 1/3

• 1/6

A vertical tower stands on level ground. At a point 100 m from the foot of the tower the angle

       of elevation of the top is 20°. The height of the tower is:

• 45 m
• 25 m
• 36.33 m
• 50 m

The area of the triangular template DEF shown in Figure is:

• 450 mm²
• 540 mm²
• 720 mm²
• 300 mm²

If z₁ = 2+3i and z₂ = 5+2i, then find sum of two complex numbers.

• 4+8i

• 3-i

• 7+5i

• 7-5i

If z₁ = 2+3i and z₂ = 5+2i, then find z₁-z₂.

• -3+1i

• 3-i

• 7+5i

• 7-5i

If matrix is given as shown in figure, then A² is equal to

• A

• -A

• a null matrix

• a unit matrix

Find the value x and y from the matrices given.

• 
  x = 3, y = 2

• 
  x = 3, y = -2

• 
  x = -3, y = -2

• 
  x = -3, y = 2

A car travels 90 meters due north in 15 seconds. Then the car turns around and travels 40 meters due south.  What is the magnitude and direction  of the car's resultant displacement?  

• 40 metres, South

• 50 metres, South

• 
  50 metres, North

• 40 metres, North