Further Mathematics 2007 Waec Past Questions and Answers

Question 31 :

• WAEC 2007

The equation of a circle is given by \(x^{2} + y^{2} - 4x - 2y - 3\). Find the radius and the coordinates of its centre.

A. \(3, (-1, 2)\)
B. \(2\sqrt{2}, (2, -1)\)
C. \(2\sqrt{2}, (2, 1)\)
D. \(9, (2, 1)\)

Question 32 :

• WAEC 2007

Simplify \(\frac{^{n}P_{3}}{^{n}C_{2}} + ^{n}P_{0}\)

A. N - 5
B. N - 3
C. 2n - 1
D. 2n - 3

Question 33 :

• WAEC 2007

X and Y are two independent event. If \(P(X) = \frac{1}{5}\) and \(P(X \cap Y) = \frac{2}{15}\), find \(P(Y)\).

A. \(\frac{2}{3}\)
B. \(\frac{2}{5}\)
C. \(\frac{1}{3}\)
D. \(\frac{1}{5}\)

Question 34 :

• WAEC 2007

Given that \(p = 4i + 3j\), find the unit vector in the direction of p.

A. \(\frac{1}{3}(4i + 3j)\)
B. \(\frac{1}{3}(3i + 4j)\)
C. \(\frac{1}{5}(3i + 4j)\)
D. \(\frac{1}{5}(4i + 3j)\)

Question 35 :

• WAEC 2007

A particle is projected vertically upwards with a speed of 40 m/s. At what times will it be 35m above its point of projection? \(\text{Take g} = 10 ms^{-2}\)

A. 1 sec and 7 sec
B. 1 sec and 8 sec
C. 2 sec and 5 sec
D. 2 sec and 7 sec