# EE Math2

 Wikiversity Electrical & Electronic Engineering Schools The Lessons in ELECTRICAL/ELECTRONIC ENGINEERING ORIENTATION

## Important Notes & Instructions on Answering the questions

• This Aptitude test is on Geometry and data representation .
• Select the most correct answer of the four possible answers to each question.
• Attempt all questions before submitting to view your results.
• Use of calculator allowed.

Lessons in Electric Engineering Orientation
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Quiz Test 1:
Quiz Test 2:
 Geometry and data representation← You are here
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Mathematics Aptitude test2: Questionaire

1.
 If a circle with centre Q is given by the following equation $ax^2 + y^2 + 8y - 1 = 0$ Then the co-ordinates of Q are ...
 (A) ( 1 ; -1 ) (B) ( 0 ; -4 ) (C) ( 3 ; 0 ) (D) ( 2 ; 2 )

2.
 Which of the following is the Phythagorus theorem.
 (A) In a right-angled triangle, $r^2 = x^2 + y^2$. (B) The product f gradients of a loci is -1. (C) $( x - c )^2 + ( y - b )^2 = r^2$. (D) None of the above.

3.

The following $\mathcal{4}ABC$ cuts the Y-axis at Q. the $\mathcal{4}ABC$ has the following points: n( 0 ; r) ; o( 4 ; 3 ) & P( -5 ; -2 ) as vertices.

The gradient of PO then is ...

 (A) $\frac{4+(-5)}{3+(-2)}$$= \frac{-1}{1}.$ (B) $\frac{4-(5)}{3-(2)}$$= \frac{-1}{1}.$ (C) $\frac{4-(-2)}{3-(-5)}$$= \frac{6}{8}.$ (D) $\frac{4-(-5)}{3-(-2)}$$= \frac{9}{5}.$

4.

If $\cot A = k$ and A $\in$ [ 0° ; 90° ] which of the following diagrams is true?

 (A) (B) (C) (D) None of the above.

5.
 Which of the following is a possible general solution to $\tan 3x.\cot 33^\circ - 1 = 0$ ?
 (A) $\begin{matrix}\tan 3x.\cot 33^\circ & = & 1 \\ \ \tan 3x & = & \frac{1}{\cot 33^\circ} \\ \ \\ \ \tan 3x & = & \cot (33^\circ + 66^\circ) \end{matrix}$. (B) $\begin{matrix}\tan 3x.\cot 33^\circ & = & 1 \\ \ \tan 3x & = & \frac{1}{\cot 33^\circ} \\ \ \\ \ 3x & = & 33^\circ \end{matrix}$. (C) $\begin{matrix}\tan 3x.\cot 33^\circ & = & 1 \\ \ \tan 3x & = & \frac{\sin 33^\circ}{\cos 33^\circ} \end{matrix}$. (D) None of the above.

6.
 Which of the following is the correct expression of $\cos (x-y)$ in terms of Cosines of X and Y?
 (A) $\cos x \cos y + \sin x \sin y$ (B) $\cos x \sin y + \cos y \sin x$ (C) $\sec^2 x$$\sec^2 y$ (D) $\frac{1}{2}(\cos^2 x - \sin^2 y)$

7.

In the diagram below, points H; I & J lie on the circle with centre K as shown.

Which of the following statements is true?

 (A) $K\hat H I = H\hat K J$ (B) $H\hat K J = 2H\hat I J$ (C) $HK \| JI$ (D) $HK \perp\ JI$

8.

In the following diagram which statement is true?

 (A) $NO = BO$ thus $\hat N_1 = \hat B_1$ (B) $CB \perp\ OB$ (C) $\hat N_1 = \hat N_2$ (D) None of the above

9.
 Which of the following statements must be true to prove a cyclicquadrilateral ?
 (A) Atleast one side of a quadrilateral must be equal to the radius of the circle. (B) Opposite angles of a quadrilateral must sum up to 180°. (C) Exterior angle of a quadrilateral must be equal to twice the interior angle. (D) Atleast one vertex of a quadrilateral must lie at the centre of a circle.

10.
 Which of the following statements does not prove similarity of $\triangle ABC$ and $\triangle DEF$?
 (A) All angles of $\triangle ABC$ are same as all angles of $\triangle DEF$. (B) All pairs of corresponding sides of $\triangle ABC$ and $\triangle DEF$ are of the same ratio. (C) An angle of $\triangle ABC$ is equal to an angles of $\triangle DEF$ and the containing sides are of the same ratio. (D) $\triangle ABC$ and $\triangle DEF$ are enclosed in the same circle.

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