POST UTME IGBINEDION UNIVERSITY 2021 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the equation of the line pas\sing through the points ( (1, 2) ) and ( (3, 4) ).
A. \( y = \frac{4 - 2}{3 - 1} \( x - 1 \ \) + 2 )
B. \( y = \frac{4 - 2}{3 - 1} \( x - 1 \ \) + 4 )
C. \( y = \frac{4 - 2}{3 - 1} \( x - 1 \ \) + 6 )
D. \( y = \frac{4 - 2}{3 - 1} \( x - 1 \ \) + 8 )
Question 2
Find the equation of the circle with center ( (2, 3) ) and radius ( 4 ).
A. \( x - 2 \ \)^2 + \( y - 3 \)^2 = 16 )
B. \( x - 2 \ \)^2 + \( y - 3 \)^2 = 25 )
C. \( x - 2 \ \)^2 + \( y - 3 \)^2 = 36 )
D. \( x - 2 \ \)^2 + \( y - 3 \)^2 = 49 )
Question 3
Solve the inequality \( 2x^2 - 3x + 1 > 0 \).
A. \( x < -\frac{1}{2} \) or \( x > \frac{1}{2} \)
B. \( x < -\frac{1}{2} \) or \( x < \frac{1}{2} \)
C. \( x > -\frac{1}{2} \) or \( x > \frac{1}{2} \)
D. \( x > -\frac{1}{2} \) or \( x < \frac{1}{2} \)
Question 4
Find the equation of the circle with center ( (2, 3) ) and radius ( 4 ).
A. \( x - 2 \ \)^2 + \( y - 3 \)^2 = 16 )
B. \( x - 2 \ \)^2 + \( y - 3 \)^2 = 4 )
C. \( x - 3 \ \)^2 + \( y - 2 \)^2 = 16 )
D. \( x - 3 \ \)^2 + \( y - 2 \)^2 = 4 )
Question 5
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 0 \) to \( x = 4 \).
A. \( \frac{1}{2} \times 4^3 + 3 \times 4^2 - 2 \times 4 \)
B. \( \frac{1}{2} \times 4^2 + 3 \times 4 - 2 \)
C. \( \frac{1}{2} \times 4^3 + 3 \times 4^2 - 2 \times 4^2 \)
D. \( \frac{1}{2} \times 4^3 + 3 \times 4 - 2 \times 4 \)
Question 6
Find the derivative of \( y = \frac{1}{x^2 + 1} \) u\sing the chain rule.
A. \( -\frac{2x}{\( x^2 + 1 \ \)^2} )
B. \( \frac{2x}{\( x^2 + 1 \ \)^2} )
C. \( -\frac{2}{\( x^2 + 1 \ \)^2} )
D. \( \frac{2}{\( x^2 + 1 \ \)^2} )
Question 7
Find the value of $x$ in the equation $2^x + 5^x = 3^x$.
A. 1
B. 2
C. 3
D. 4
Question 8
Find the area of the triangle with vertices ( (0, 0), (3, 0), (0, 4) ).
A. ( 6 )
B. ( 12 )
C. ( 18 )
D. ( 24 )
Question 9
Solve the quadratic equation \( x^2 + 4x + 4 = 0 \).
A. \( x = -2 \)
B. \( x = 2 \)
C. \( x = -1 \)
D. \( x = 1 \)
Question 10
Find the derivative of the function ( f(x) = \frac{1}{x^2} ) u\sing the power rule.
A. \( -\frac{2}{x^3} \)
B. \( \frac{2}{x^3} \)
C. \( -\frac{1}{x^3} \)
D. \( \frac{1}{x^3} \)
Question 11
Solve the inequality \( 2x^2 - 5x - 3 > 0 \).
A. \( x < -1 \) or \( x > 3 \)
B. \( x < 1 \) or \( x > 3 \)
C. \( x < -1 \) or \( x < 3 \)
D. \( x > 1 \) or \( x > 3 \)
Question 12
Find the derivative of the function ( f(x) = \frac{1}{\sqrt{1 - x^2}} ) u\sing the chain rule.
A. \( \frac{-x}{\( 1 - x^2 \ \)^{3/2}} )
B. \( \frac{x}{\( 1 - x^2 \ \)^{3/2}} )
C. \( \frac{1}{\( 1 - x^2 \ \)^{3/2}} )
D. \( \frac{-1}{\( 1 - x^2 \ \)^{3/2}} )
Question 13
Find the mean of the data set: 2, 4, 6, 8, 10.
A. 6
B. 8
C. 10
D. 12
Question 14
Find the determinant of the matrix \( egin{bmatrix} 2 & 3 & 4 \ 5 & 6 & 7 \ 8 & 9 & 10 \end{bmatrix} \).
A. -1
B. 0
C. 1
D. 2
Question 15
Solve the inequality $\frac{1}{x-1} > \frac{2}{x+1}$.
A. x<-1
B. x>-1
C. x<1
D. x>1

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