Jamb Mathematics Past Questions For Year 1997
Question 21
Determine x + y if \(\begin{pmatrix} 2 & -3 \\ -1 & 4 \end{pmatrix}\) \(\begin{pmatrix} x \\ y \end{pmatrix}\) = \(\begin{pmatrix}-1 \\ 8 \end{pmatrix}\)
- A. 3
- B. 4
- C. 7
- D. 12
Question 22
Find the non-zero positive value of x which satisfies the equation \(\begin{vmatrix} x & 1 & 0 \\ 1 & x & x \\ 0 & 1 & x\end{vmatrix}\) = 0
- A. 2
- B. 4
- C. √3
- D. √2
- E. 1
Question 23
Each of the base angles of a isosceles triangle is 58° and the verticles of the triangle lie on a circle. Determine the angle which the base of the triangle subtends at the centre of the circle.
- A. 128°
- B. 16°
- C. 64°
- D. 58°
Question 24
A chord of a circle of a diameter 42cm subtends an angle of 60° at the centre of the circle. Find the length of the mirror arc
- A. 22cm
- B. 44cm
- C. 110cm
- D. 220cm
Question 25
An arc of a circle subtends an angle 70o at the centre. If the radius of the circle is 6cm, calculate the area of the sector subtended by the given angle.(\(\pi\) = \(\frac{22}{7}\))
- A. 22cm2
- B. 44cm2
- C. 66cm2
- D. 88cm2
