Post Utme Mathematics Past Questions and Answers

Question 426:

Find the equation of thetgeus otgpoint \(P(x, y)\) which is equidistant from \(Q(0,0)\) and \(R(2,1)\)

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

Question 427:

\(\text { Simpify the express } \frac{\sqrt{1-\cos x}}{\sqrt{1+\cos x}}\)

A. Cos x
B. \(\sin x \)
C. \(1 \cos x\)
D. \(\frac{1-\cos x}{\sin x}\)

Question 428:

If \(x+1\) is a tactor of \(2 x^{3}+3 x^{2}+k x+4\), tind the value of \(k . .\)

A. \(-5\)
B. 5
C. \(-4\)
D. 4

Question 429:

Obtain the maximum value of the function \(f(x)=x^{3}-12 x+4\)

A. 20
B. 5
C. \(-2\)
D. 2
E. 27

Question 430:

\begin{array}{|l|l|l|l|l|l|l|l|}
\hline No of children & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\
\hline No of families & 7 & 11 & 6 & 7 & 7 & 5 & 3 \\
\hline
\end{array}


Find the mean of the distribution

A. 2
B. 3
C. \(2.5\)
D. \(3.5\)
E. 4