Ebonyi State University Mathematics Post Utme Past Questions and Answers

Question 11 :

If the \(8^{\text {th }}\) term of an AP is three times the second term and the sum of the first three term is 18 , find the first term of the AP

A. 4
B. 2
C. 8
D. 3

Question 12 :

Find the sum to infinity of the series \(4+3+9 / 4+27 / 16+\cdots\).

A. 16
B. \(27 / 16\)
C. 1
D. 8

Question 13 :

A chord of a circle of radius \(10 \mathrm{~cm}\) is drawn \(8 \mathrm{~cm}\) from the centre of the circle. Find the length of the chord.

A. 6
B. \(2 \sqrt{41}\)
C. 12
D. \(\sqrt{41}\)

Question 14 :

Find the equation of the line which passes through \((-2,1)\) and is perpendicular to the line \(4 x-2 y+1=0\)

A. \(2 y-x-4=0\)
B. \(2 y+x=0\)
C. \(2 y-x=0\)
D. \(y-2 x-5=0\)

Question 15 :

If a line is parallel to the line \(2 y-r x+4=0\) and perpendicular to the line \(4 y+x-28=0\), then the value of \(\mathrm{r}\) is ____________

A. 4
B. 8
C. \(-8\)
D. \(-4\)