ECAT Mathematics Online Test With Answers

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ECAT Mathematics Online Test

Sr. # Questions Answers Choice
1 If the intersecting plane is parallel to a generator of the cone, but intersects its one nappe only, the curve obtained is an ellipse a hyperbola a circle a parabola
2 I and III quadrants II and III quadrants I and II quadrants II and IV quadrants
3 If the cutting plane is slightly tilted and cuts only one nappe of the cone, the intersection is an ellipse a hyperbola a circle a parabola
4 If a plane passes through the vertex of a cone then the intersection is an ellipse a hyperbola a point circle a parabola
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6 If a cone is cut by a plane perpendicular to the axis of the cone, then the section is a parabola circle hyperbola ellipse
7 Conic sections or simply conics are the curves obtained by cutting a right circular cone by a line two lines a plane two planes
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10 The point ________ is in the solution of the inequality 2x - 3y < 4 (0, -2) (1, -3) (2, 2) (3, 0)
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12 (2, 1) is in the solution of the inequality 2x + y <u>&gt;</u> 7 x - y &gt; 2 3x + 5y &lt; 6 2x + y &lt; 6
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14 The point ________ is in the solution of the inequality 4x - 3y < 2 (0,1) (2,1) (2,2) (3,3)
15 The point ________ is in the solution of the inequality 2x - 3y > 5 (1, -1) (2,2) (0,0) (3,0)
16 The point _________ is in the solution of the inequality 2x + 3y < 5 (1,1) (2,2) (0,1) (0,2)
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18 (1, 2) is in the solution of the inequality 2x + y &gt; 8 2x + y <u>&lt;</u> 6 2x - y &gt; 1 2x + 3y &lt; 2
19 (0,0) is in the solution of the inequality x + y &gt; 3 x - y &gt; 2 3x + 2y &gt; 5 3x - 2y &lt; 2
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22 (0,1) is in the solution of the inequality 3x + 2y &gt; 8 2x - 3y &lt; 4 2x + 3y &gt; 5 x -2y &lt; -5
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24 (1,0) is in the solution of the inequality 3x + 2y &gt; 8 2x - 3y &lt; 4 2x + 3y &gt; 3 x - 2y &lt; -5
25 Which of the following is not a quadrantal angle 90° 100° 180° 270°
26 (1, 1) is the in the solution of the inequality 3x + 4y &gt; 3 2x + 3y &lt; 2 4x = 3y &gt; 5 2c - 3y &gt; 2
27 Which of the following is a quadrantal angle 30° 45° 60° 90°
28 30° 45° 60° 90°
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30 The solution set of the inequality ax + by < c is straight line half plane parabola none of these
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