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.

Mathematics Aptitude test2: Questionaire <quiz display=simple> { If a circle with centre Q is given by the following equation $a{x}^2+y^2+8y-1=0$ Then the co-ordinates of Q are ... type="()" } - (A) ( 1 ; -1 ) + (B) ( 0 ; -4 ) - (C) ( 3 ; 0 ) - (D) ( 2 ; 2 ) { Which of the following is the Phythagorus theorem. type="()" } + (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. { The following $4ABC$ cuts the Y-axis at Q. the $4ABC$ has the following points: n( 0 ; r) ; o( 4 ; 3 ) & P( -5 ; -2 ) as vertices. File:ELE-PRE-MAT2-1.png The gradient of PO then is ... type="()" } - (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}.$ { If $\cot A=k$ and A $\in$ [ 0° ; 90° ] which of the following diagrams is true? File:ELE-PRE-MAT2-2.png type="()" } - (A) + (B) - (C) - (D) None of the above. { Which of the following is a possible general solution to $\tan 3x.\cot 33^{\circ }-1=0$ ? type="()" } - (A) $\begin{array}{ccc}\tan 3x.\cot 33^{\circ }& =& 1\\ \tan 3x& =& \frac{1}{\cot 33^{\circ }}\\ \\ \tan 3x& =& \cot (33^{\circ }+66^{\circ })\end{array}$. + (B) $\begin{array}{ccc}\tan 3x.\cot 33^{\circ }& =& 1\\ \tan 3x& =& \frac{1}{\cot 33^{\circ }}\\ \\ 3x& =& 33^{\circ }\end{array}$. - (C) $\begin{array}{ccc}\tan 3x.\cot 33^{\circ }& =& 1\\ \tan 3x& =& \frac{\sin 33^{\circ }}{\cos 33^{\circ }}\end{array}$. - (D) None of the above. { Which of the following is the correct expression of $\cos (x-y)$ in terms of Cosines of X and Y? type="()" } + (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) $\frac{1}{2}({\cos }^{2}x-{\sin }^{2}y)$ { In the diagram below, points H; I & J lie on the circle with centre K as shown. File:ELE-PRE-MAT2-3.png Which of the following statements is true? type="()" } - (A) $K\hat{H}I=H\hat{K}J$ + (B) $H\hat{K}J=2H\hat{I}J$ - (C) $HK\Vert JI$ - (D) $HK\perp JI$ { In the following diagram which statement is true? File:ELE-PRE-MAT2-4.png type="()" } + (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 { Which of the following statements must be true to prove a cyclicquadrilateral ? type="()" } - (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. { Which of the following statements does not prove similarity of $\mathrm{△}ABC$ and $\mathrm{△}DEF$? type="()" } - (A) All angles of $\mathrm{△}ABC$ are same as all angles of $\mathrm{△}DEF$. - (B) All pairs of corresponding sides of $\mathrm{△}ABC$ and $\mathrm{△}DEF$ are of the same ratio. - (C) An angle of $\mathrm{△}ABC$ is equal to an angles of $\mathrm{△}DEF$ and the containing sides are of the same ratio. + (D) $\mathrm{△}ABC$ and $\mathrm{△}DEF$ are enclosed in the same circle. </quiz> Template:Center topprevious lessonTemplate:Center bottom Template:Center topnext lessonTemplate:Center bottom Template:Center topmain menu Template:Center bottom