# Electrical Engineering Orientation/Geometry and Data Representation

| 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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