waecE-LEARNING
General Mathematics Paper 2,Nov/Dec. 2014  
Questions: 1 2 3 4 5 6 7 8 9 10 11 12 13 Main
General Comments
Weakness/Remedies
Strengths

Question 13

  1. If x =  and y= , find, correct to 1 decimal place, |x + y|.
  2. P(6, 4), Q(-2, -2) and R(4, -6) are the vertices of triangle PQR.
  3. Determine the coordinates of M and S, the midpoints of  and  respectively.
  4. Find and .
  5. State the relationship between and .
  6. Find the equation of .
Observation

The Chief Examiner reported that this question was the most unpopular question and majority of those who attempted it performed poorly.
In part (a), candidates were expected respond as follows:
 x + y =  +  =. Therefore, |x + y| =  = 5 = 7.1.
In part (b), candidates were expected to show that if M(x, y) was the midpoint of  , then x =  = 2 and y =  = 1. Hence, the required point was M(2, 1). Similarly, if S(x, y) was the midpoint of , then, x =  = 5 and y =  = -1. Therefore, the midpoint of  was S(5, -1).  =  -  = . Similarly,  =  - = . By comparing the two vectors they would conclude that  = 2. To find the equation of, candidates would first find the gradient of  as  = . The required equation was y – 1 =(x – 2) which simplified to 2x + 3y = 7.


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