MTH101 Past Questions

MTH101

Does the point (-4, 2) lie inside or outside or on the circle \\(xA2+yA2=25\\)?
Answer: inside

The second term of a GP is 4, the fifth term is 81. Find the seventh term
Answer: \\(\\frac{729}{4}\\)

\VZ={âg!>-3a-2>-1>0l1a2I3>aE|]\\) denotes a set of
Answer: integer number

Find the sum to infinity of the sequence \\ (128, 64, 32,\\)
Answer: 256

Factorize the equation \\(3xA2-11x-4=0\\)
Answer: \\((3x+1(x-4)\\)

The elements of the set \\(A={2,3,5,7,11}\\) are made up of
Answer: prime number

Avector having unit magnitude is called
Answer: unit vector

The notion \\(\\ni\\) mathematically denotes
Answer: such that

Obtain the equation of the circle with centre at (-5,3) and radius 7
Answer: \\((x+5)A2+(y-3)A2=49\\)

The seventh term of an A. P is 15 and the fourth term is 9. Find the first term and common difference
Answer: \\(a=3, d=2\\)

Evaluate \\(\\sum_{r=1}A4 rA2\\)
Answer: 30

Given \\(A=3+4i\\) and \\(B=2+5i\\), find AB
Answer: \\(ab=-14+23i\\)

Solve the inequality \\(\\frac{2z+3}{z+2}\\leq 1\\)
Answer: \\(-2<z\\leq -1W)

Find the equation of the circle (2, 3) and radius 4
Answer: \\(yA2+xA2-4x+6y-3=0\\)

Let set \\(A={x\\in Z:0\\leq x < 2}\\) list the member of A
Answer: \\(a={0,1}\\)

In a group of 250 students, 170 are boys. If 120 students including all the girls wear glasses, determine the number of boys that wear glasses
Answer: 40

The set of all University in Nigeria is called
Answer: universal set

The solution to the equation \\(xA2+1=0\\) resulted to
Answer: complex number

If a complex number is defined as \\ (z=a+bi\\), find it conjugate
Answer: \\(z=a-bi\\)

Express complex number \\(z=x+yi\\) in polar form
Answer: \\(z=r(cos\\theta+isin\\theta)\\)

The second term of a GP is 4, the fifth term is 81. Find the seventh term
Answer: \\(\\frac{729}{4}\\)

\\(Z={â€J,-3,-2,-1,0,1,2,3,â€!}\\) denotes a set of
Answer: integer number