ECAT Pre Engineering Entry Test With Answers

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ECAT Pre Engineering Entry Test

Sr. # Questions Answers Choice
1 If uv= Projuv then Uandvare parallel vis a unit vector Uis a unit vector Both b and c
2 If Projvu = Projuv, then Uand vare parallel |u|=|v| Uandvre perpendicular One ofuorv
3 The feasible region which can be enclosed within a circle is called Bounded region Convex region Unbounded region None
4 For different values of k equation 4x+5y =k represents Parallel lines Lines parallel to x -axis Perpendicular lines Lines parallel to y -axis
5 Any horizontal line divided the plane into Left half plane Upper and lower half planes Infinite number of horizontal liens None of these
6 The graph of y < 2 is the Left half plane upper half plane Right half plane Lower half plane
7 The ratio in which the line y- x+ 2 =0 divides the line joining (3,-1) and (8,9) is 2:3 -2:3 3:2 -3:2
8 A quadrilateral whose diagonals are perpendicular bisector of each other is Square Rectangle Rhombus Parallelogram Trapezium
9 Number of lines passing through three non-collinear points is 2 3 1 0 ∞
10 (-28,12) divides the join of A(-6,3) and B(5,-2) in ratio 1:2 3:2 2:3 2:1
11 The area of the rhombus whose vertices are A(0,0),B(2,1),C(3,3),D(1,2) is 36 square units 3 square units 6 square units 18 square units
12 A joint equation of the lines through the origin and perpendicular to the lines ax2 +2hxy +by2 =0 is indentical is ax2 +2hxy +by2 =0 if h2 = ab a + b =0 a = b a≠ b a = b = 0
13 The angle between lines xy =0 is 45° 60° 90° 180°
14 The ortho center of triangle whose vertices are (0,0)(3,0)(0,4) is (0,0) (1,1) (2,2) (3,3)
15 The two lines y = 2x and x =2y are Parallel Perpendicular Equally inclined with axes Congruent
16 The equation of line passing through intersection of line x = 0 and y = 0 and the point (2,2) is y = x y = x - 1 y = x + 1 y = x + 1
17 The obtuse angle between lines = -2 and y = x +2 is 120° 135° 150° 140°
18 The length of perpendicular from (3,1) to 4x +3y +20 =0 is 6 7 3 8
19 If A(a,b) lies on 3x +2y =13 and point B(b,a) lies on x-y =5 then equation of AB is x- y= 5 x+ y+ =5 x+ y= -5 5x +5y =21
20 If line through (4,3) and (2,k) is perpendicular to y =2x +3, then k =_______ -1 1 -4 4
21 If k2x2 +2hxy- 4y2 =0 represents two perpendicular lines then k = 2 k = ±2 k = -2 k ≠0
22 The measure of the acute angle between the lines represented by x2 -xy -6y2 =0 is 120° 30° 130° 45°
23 The exterior angle of the interior angle C of he quadrilateral whose vertices are A(5,2),B(-2,3),C(-3,-4),D(4,-5) is 30° 60° 45° 90°
24 The points A(+1,-1),B(3,0),C(3,7),D(1,8) are vertices of Square Parallelogram Rectangle Trapezium
25 Area of the triangle whose vertices are (2,3),(0,1),(0,0) is 6 2 4 1
26 The equation of the line perpendicular to x- axis and passing through (-5,3) is y -3 =0 x+ 3 =0 y- 3 =∞ x +5 =0
27 The point P (5,8) and the origin lie on the side of the line 3x+ 7y+ 15 =0 Same side P above and origin below Opposite side P below and origin above
28 The points A(3,1),B(-2,-3),C(2,2) are vertices of an (an) Right triangle Equilateral triangle Isosceles triangle Scalene triangle
29 The line through the intersection of the lines x+ 2y+ 3= 0 : 3x +4y +7 =0 and making equal intercepts on the axes is x+ y+ 1= 0 x+ y- 2= 0 x+ y+ 2= 0 2x +y +2 =0
30 The straight lines represented by the equation ax2+ 2hxy +by2 =0 intersects at (1,1) (0,1) (1,0) (0,0)
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