ECAT Pre General Science Mathematics Chapter 20 Analytic Geometry Online Test With Answers

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ECAT Pre General Science Mathematics Chapter 20 Analytic Geometry Online Test

Sr. # Questions Answers Choice
1 The distance between the parallel lines 3x - 4y + 3 =0 and 3x -4y + 7 = 0 is: 2/3 9/13 4/5 7/12
2 The distance between lines 3x + 4y = 9 and 6x +8y = 15 is: 2/3 3/10 8 6/5
3 The distance between two parallel lines 2x - 5y + 13 = 0 and -2x +5y -6 = 0 is: √29 8/√29 7 /√29 29√7
4 The distance from the point P(3,4) to the line y = 2x - 3 is: √5 √3 2√3 1/√5
5 The length of perpendicular from (3,1) to the line 4x + 3y +20 = 0 is: 7 5 11 12
6 The length of perpendicular form(-2,3) to the line y=2x-3 is: 5√2 6 2√5 7.5
7 The distance from the point P(6,-1) to the line 6x - 4x + 9 = 0 is: 5/7 √52/7 2/48 49 /√52
8 The two lines 5x + 7y = 35 and 3x -7y=21, intersect at the point: (7,5) (1,2) (2,7) (7,0)
9 The two lines x + y = 0 and 2x - y + 3 = 0 intersect at the point: (-1,1) (2,3) (1,3) (-1,2)
10 The equation of the line through (-8, 5) having slope undefined is: y + 8 = 0 y = 8 y = x + 8 x + 8 = 0
11 If the line is parallel to they y-axis, then m is said to be: zero undefined 1/2 -1
12 The slope of the line from B (2,-3) through A (0,3) is: -3 1/3 0 undefined
13 The points A, B and C are said to be collinear if they: be on same line have same slope Lie on a same plane options a & b
14 Axes remain parallel to the old axes, in: Translating of axes rotation of axes Translation and rotation of axes None of these
15 In translation of axes,________is shifted to another point in the plane. a-axis y-axis origin Point
16 Shifting origin to (-4,-6), the new coordinates of (-6,-8) are: (-1,2) (-2,-2) (1,-2) (3.-2)
17 Shifting origin to (1,-2), the new coordinates of (4,5) are: (3,7) (5,3) (-3,7) (3,-7)
18 Shifting origin to (-3,2), the new coordinate of (-2,6) are: (1,4) (2,4) (-1,3) (-1,4)
19 Shifting origin to (-3,2), the new coordinates of (-6,9) are: (-9,7) (3,7) (-3,7) (3,-7)
20 If points (5 , 5), (10 , x) and (-5 , 1) are collinear, x = 5 3 9 7
21 The coordinates of a point which trisects segment joining (0,0) and (9,12) are: (4,3)(8,6) (4,3)(6,8) (3,4)(6,8) (3,4)(8,6)
22 The two vertices of a triangle are (-2,4)and (5,4). If its centroid is (5,6), then third vertex is: (-10,12) (12,-10) (12,10) (10,12)
23 The in-centre of triangle whose vertices are (0,0), (5,12) and (16,12) is: (9,7) (2,7) (9,2) (7,9)
24 The distance of a point (x cosθ , x sinθ ) from origin is: x x tanθ -tanθ -cotθ
25 If (x,y) are the coordinates of a point P, then the first number of the ordered pair is called: Ordinate Abscissa quadrant Cartesian
26 Bisectors of angles of a triangle are: Collinear Concurrent Perpendicular zero
27 The medians of a triangle are: Collinear Concurrent Perpendicular zero
28 If the points (a,b), (x,y) and (a-x, b-y) are collinear, then ay = bx b-y a-x x
29 The points (a ,0),(0,b) and (3a , -2b) are: Collinear Vertices of isosceles triangle corner of a right-angled triangle None of these
30 If a point (p,q) is equidistant from the points (5,3) and (-2,-4), then p+ q = -1 1 3 -3
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