Electrical Engineering Orientation/Geometry and Data Representation

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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.


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{| cellspacing="0" cellpadding="0" style="margin:0em 0em 1em 0em; width:100%" Mathematics Aptitude test2: Questionaire
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{ {| cellspacing="0" cellpadding="0" style="margin:0em 0em 1em 0em; width:100%" 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 )
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{ {| cellspacing="0" cellpadding="0" style="margin:0em 0em 1em 0em; width:100%" 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.
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{ {| cellspacing="0" cellpadding="0" style="margin:0em 0em 1em 0em; width:100%" 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) $$\frac{4-(-5)}{3-(-2)}$$$$ = \frac{9}{5}.$$
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{ {| cellspacing="0" cellpadding="0" style="margin:0em 0em 1em 0em; width:100%" If $$\cot A = k$$ and A $$\in$$ [ 0° ; 90° ] which of the following diagrams is true? - (A) + (B) - (C) - (D) None of the above.
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{ {| cellspacing="0" cellpadding="0" style="margin:0em 0em 1em 0em; width:100%" 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.
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{ {| cellspacing="0" cellpadding="0" style="margin:0em 0em 1em 0em; width:100%" 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) $$\frac{1}{2}(\cos^2 x - \sin^2 y)$$
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{ {| cellspacing="0" cellpadding="0" style="margin:0em 0em 1em 0em; width:100%" 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) $$HK \perp\ JI$$
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{ {| cellspacing="0" cellpadding="0" style="margin:0em 0em 1em 0em; width:100%" 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
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{ {| cellspacing="0" cellpadding="0" style="margin:0em 0em 1em 0em; width:100%" 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.
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