Ladoke Akintola University of Technology Mathematics Post Utme Past Questions and Answers

Question 11 :

If \(\log _{2}\left(3 y^{2}+8 y-1\right)=1\), evaluate \(Y\).

A. \(y=1 / 3\) or \(-3\)
B. \(y=-1 / 3\) or 3
C. \(y=-1 / 3\) or \(-3\)
D. \(y=1 / 3\) or 3
E. \(y=3\) (twice)

Question 12 :

Express \(p\) in terms of \(q\) if \(\log _{4} p+2 \log _{4} \rho^{-4}-446 / {q}^{2}\)

A. \((16 / q)^{2}\)
B. \((4 / q)^{2}\)
C. \((q / 16\)
D. \((q / 4)^{2}\)

Question 13 :

Find the possible values of \(p\) fithe explession \(4 x^{2}-3 p x+3 p\) leaves a reminder 10 when divided by \(x-p\)

A. 2
B. 3
C. 4
D. 5

Question 14 :

If \(p\) and \(q\) are the rootstiof thre equation \(2 x^{2}-5 x-7=0\), find the value of \(\beta / a+a / \beta\)

A. 3/11
B. \(-3 / 14\)
C. \(2 / 14\)
D. \(-2 / 14\)

Question 15 :

Find the locus a point that is equidistance from the points \((1,2)\) and \((3,8)\)

A. Y = 1/3(17-x)
B. Y = 1/3(x+13)
C. Y = 1//2(x-8)
D. Y = 1/3(11-x)