Waec Further Mathematics Past Questions and Answers

Question 206:

• WAEC 2007

Simplify \(\frac{\tan 80° - \tan 20°}{1 + \tan 80° \tan 20°}\)

A. \(3\sqrt{2}\)
B. \(2\sqrt{3}\)
C. \(\sqrt{3}\)
D. \(\sqrt{2}\)

Question 207:

• WAEC 2007

The binary operation * is defined on the set of R, of real numbers by \(x * y = 3x + 3y - xy, \forall x, y \in R\). Determine, in terms of x, the identity element of the operation.

A. \(\frac{2x}{x - 3}, x \neq 3\)
B. \(\frac{2x}{x + 3}, x \neq -3\)
C. \(\frac{3x}{x - 3}, x \neq 3\)
D. \(\frac{3x}{x + 3}, x \neq -3\)

Question 208:

• WAEC 2007

Find the fourth term of the binomial expansion of \((x - k)^{5}\) in descending powers of x.

A. \(10x^{3}k^{2}\)
B. \(5x^{3}k^{2}\)
C. \(-5x^{2}k^{3}\)
D. \(-10x^{2}k^{3}\)

Question 209:

• WAEC 2007

The tangent to the curve \(y = 4x^{3} + kx^{2} - 6x + 4\) at the point P(1, m) is parallel to the x- axis, where k and m are constants. Find the value of k.

A. 3
B. 2
C. -3
D. -2

Question 210:

• WAEC 2007

The tangent to the curve \(y = 4x^{3} + kx^{2} - 6x + 4\) at the point P(1, m) is parallel to the x- axis, where k and m are constants. Determine the coordinates of P.

A. (1, 2)
B. (1, 1)
C. (1, -1)
D. (1, -2)