On a graph sheet, using a scale of 2cm to 2 units on both axes,

MATHEMATICS
WAEC 1999

On a graph sheet, using a scale of 2cm to 2 units on both axes,

(a) Draw the straight line joining points P(-5, 3) and Q(2, 3);

(b) construct the locus L of points equidistant from P and Q;

(c) by construction, locate points R and S on L, such that PRQS forms a rhombus of sides 5cm;

(d) find : (i) coordinates of R and S; (ii) area of the rhombus in cm\(^{2}\).

Explanation

graph showing construction of locus

Coordinate of R and S : R(-1.6, 6.5) and S(-1.6, 0.6).

Area of rhombus PRQS : \(\frac{(5 + 2) \times (6.5 + 0.6)}{2} = \frac{49.7}{2}\)

= \(24.85 cm^{2}\)



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