Post Utme Federal University of Technology, Akure Mathematics Past Questions and Answers

Question 11:

If \(\sec ^{2} \theta+\tanh ^{2} \theta=3\), then angle \(\phi\) is equal to

A. \(20^{\circ}\)
B. \(60^{\circ}\)
C. \(45^{\circ}\)
D. \(90^{\circ}\)

Question 12:

The set of values of \(x\) and \(y\) which satisfies the equations \(x^{2}-y-1=0\) and \(y-2 x+2=0\) is

A. 1,0
B. 1,1
C. 2,2
D. 0,2

Question 13:

Two triangles have the same area if

A. Two sides in one triangle are equal to two sides in the other.
B. Three sides in one triangle are equal to threesides in the other.
C. Two angles in one triangle are equal to two angles in the other.
D. Three angles in one triangle are equal to three angles in the othe

Question 14:

If \(25^{x-1}=64(5 / 2)^{6}\), then \(x\) has the value

A. 7
B. 4
C. 32
D. 5

Question 15:

In a circle of radius \(10 \mathrm{~cm}\), a chord of len gth \(10 \mathrm{~cm}\) is \(x \mathrm{~cm}\) from its centre. What is \(x\).

A. \(10 \sqrt{2}\)
B. \(5 \sqrt{3}\)
C. \(10 \sqrt{3}\)
D. \(5 \sqrt{2}\)