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Further Mathematics Past Questions


Question 16:


If the determinant of the matrix \(\begin{pmatrix} 2 & x \\ 3 & 5 \end{pmatrix} = 13\), find the value of x.

A. -2
B. -1
C. 1
D. 2


Question 17:


Express \(\frac{13}{4}\pi\) radians in degrees.

A. 495°
B. 225°
C. 585°
D. 135°


Question 18:


Find the equation to the circle \(x^{2} + y^{2} - 4x - 2y = 0\) at the point (1, 3).

A. 2y - x -5 = 0
B. 2y + x - 5 = 0
C. 2y + x + 5 = 0
D. 2y - x + 5 = 0


Question 19:


The midpoint of M(4, -1) and N(x, y) is P(3, -4). Find the coordinates of N.

A. (2, -3)
B. (2, -7)
C. (-1, -3)
D. (-10, -7)


Question 20:


Given that \(y = x(x + 1)^{2}\), calculate the maximum value of y.

A. -2
B. Zero
C. 1
D. 2






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