MTH105 Past Questions

MTH105

When a statement has the same truth-value (T) for all possible options, the statement is said to be?
Answer: tautology

When statement D is the converse of statement C, then statement D is called?
Answer: contracdiction

The equation of the line having slope (m) and intercept is defined as?
Answer: \\(y=mx+c\\)

Write the equation of the circle satisfying the given condition C(0, 0), r = 5
Answer: \\(xA2+yA2=25\\)

A matrix with equal number of rows and columns is called?
Answer: square matrix

The symbol “\\(\\longleftrightarTow\\) � in the study of logic denotes?
Answer: if and only if

The study that deals with the fundamental laws of thinking and reasoning is called?
Answer: logic

The rectangular array of set of real or complex numbers arranged in rows and columns is called?
Answer: matrix

If \\(|\\bar{AB}|=1\\), then \\(\\bar{AB}\\) is called?
Answer: unit vector

Given \\(A=3i+2j\\) and \\(B=4i+3j\\), determine W(B-AW)
Answer: \\(i+j\\)

If \\(\\bar{PQ}=4i+3j+2k\\), then find \\ (|ttbar{PQ}|\\)
Answer: 5.385

Find the sum \\
(\\bar{AB}+\\bar{BC}+\\bar{CD}+\\bar{DE}+\\bar{E
Answer: \\(\\bar{af}\\)

Let P represent a statement (T) and Q denotes a statement (F), what is \\(P\\vee Q\\)
Answer: t

Two matrices with the same corresponding elements is referred to as?
Answer: equal matrix

A square matrix where the element \\ (a_{ij}=0\\) for \\(i>j\\) is called?
Answer: upper triangular matrix

Evaluate \\((2i-3j).[(i+j-k)\\times (3i-k)]\\)
Answer: 4

A matrix with elements only on it diagonal is called?
Answer: diagonal matrix

If kemi did not attend MTH 105 classes is (p), she will become angry (q). Kemi did not attend the class. Hence, she became angry. Write the statement symbolically.
Answer: \\([(p\\rightarrow q)\\wedge p]\\rightarrow q\\)

If the 7th term of an AP is 22 and the 12th term is 37, find the common difference
Answer: 3

Two vectors with the same magnitude and direction is called?
Answer: equal vector

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