Electrical Engineering Orientation/Geometry and Data Representation

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 Lesson #1: Introduction to Electrical Engineering Lesson #2: Introduction to Electronic Engineering Quiz Test 1: Algebra and pre-calculus Quiz Test 2: Geometry and data representation Quiz Test 3: Physics Science laws Quiz Test 4: chemical Science Processes Entrance Courses: Introduction to Engineering Math- MATH 090 comming soon!

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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