WAEC Mathematics Past Questions & Answers - Page 231

1,151.

The sides of a right angle triangle in ascending order of magnitude are 8cm, (x-2)cm and x cm. Find x

A.

16

B.

17

C.

34

D.

90

Correct answer is B

\(8^2 + (x - 2)^2 = x^2\\
64 + x^2 - 4x + 4 = x^{2}\\
x^2 - 4x + 68 = x^2\\
-4x = -68\\
-x = \frac{-68}{4} = 17\)

1,152.
1,153.

Which of the following statements is true from the diagram above?

A.

m + n = 90o

B.

m = n

C.

n > 45o

D.

m < 45o

Correct answer is A

No explanation has been provided for this answer.

1,154.

Describe the locus L shown in the diagram below

A.

Locus of points equidistant from X and Y

B.

Locus of points equidistant from X and Z

C.

Locus of points equidistant from \(\bar{ZX}\) and \(\bar{ZY}\)

D.

Locus of points equidistant from \(\bar{XY}\) and \(\bar{ZY}\)

Correct answer is C

No explanation has been provided for this answer.

1,155.

In the diagram, DE||BC, |AD| = x cm and |DB| = |AE| = ycm. Find |CE| in terms of x and y

A.

x

B.

\(\frac{x^2}{y}\)

C.

\(\frac{y}{x^2}\)

D.

\(\frac{y^2}{x}\)

Correct answer is D

\(\frac{x}{x+y}=\frac{y}{x+CE}\\
xy + xCE = xy + y^2\\
∴xCE = y^2\\
CE=\frac{y^2}{x}\)