Waec Further Mathematics Past Questions For Year 2022

Question 41

A particle is acted upon by forces F = (10N, 060º), P = (15N, 120º) and Q = (12N, 200º). Express the force that will keep the particle in equilibrium in the form xi + yj, where x and y are scalars.

waec 2022

  • A. 17.55i + 13.78j
  • B. 17.55j - 13.78i
  • C. -17.55i + 13.78j
  • D. -17.55i - 13.78j
View Answer and Explanation

Question 42

If α and β are roots of x\(^2\) + mx - n = 0, where m and n are constants, form the
equation whose roots are 1 α and 1 β .

waec 2022

  • A. mnx\(^2\)  - n\(^2\) x - m = 0
  • B. mx\(^2\)  - nx + 1 = 0
  • C. nx\(^2\)  - mx + 1 = 0
  • D. nx\(^2\)  - mx - 1 = 0
View Answer and Explanation

Question 43

A particle of mass 3kg moving along a straight line under the action of a F N, covers a line distance, d, at time, t, such that d = t\(^2\) + 3t. Find the magnitude of F at time t.

waec 2022

  • A. 0N
  • B. 2N
  • C. 3(2t + 3)N
  • D. 6N
View Answer and Explanation

Question 44

The length of the line joining points (x,4) and (-x,3) is 7 units. Find the value of x.

waec 2022

  • A. 4√3
  • B. 2√6
  • C. 3√2
  • D. 2√3
View Answer and Explanation