ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 20

MCQ's Test For ECAT Mathematics Chapter 20 Analytic Geometry

Try The MCQ's Test For ECAT Mathematics Chapter 20 Analytic Geometry

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ECAT Mathematics Chapter 20 Analytic Geometry

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Question # 1

The distance between two parallel lines 2x - 5y + 13 = 0 and -2x +5y -6 = 0 is:

Question # 2

The points (a ,0),(0,b) and (3a , -2b) are:

Question # 3

If the line is parallel to they y-axis, then m is said to be:

Question # 4

The points (3,1), (-2,-3) and (2,2) are the vertices of :

Question # 5

If the points (a,b), (x,y) and (a-x, b-y) are collinear, then ay =

Question # 6

The length of perpendicular from (3,1) to the line 4x + 3y +20 = 0 is:

Question # 7

Axes remain parallel to the old axes, in:

Question # 8

Shifting origin to (-4,-6), the new coordinates of (-6,-8) are:

Question # 9

x-axis divides the line segment joining points (2,-3) and (5,6) in the ratio:

Question # 10

The points (5,2),(-2,3),(-3,-4) and (4,-5) are the vertices of:

Question # 11

The cartesian system of coordinates was introduced by:

Question # 12

The points (-1,3), (3,0) are the vertices of:

Question # 13

If a point (p,q) is equidistant from the points (5,3) and (-2,-4), then p+ q =

Question # 14

The slope of the line from B (2,-3) through A (0,3) is:

Question # 15

If points (5 , 5), (10 , x) and (-5 , 1) are collinear, x =

Question # 16

Shifting origin to (-3,2), the new coordinate of (-2,6) are:

Question # 17

Bisectors of angles of a triangle are:

Question # 18

If (x,y) are the coordinates of a point P, then the first number of the ordered pair is called:

Question # 19

In translation of axes,________is shifted to another point in the plane.

Question # 20

If points A (6,-1), B ( 1,3) and C (x,8) are such that AB=BC, then x =

Question # 21

The two vertices of a triangle are (-2,4)and (5,4). If its centroid is (5,6), then third vertex is:

Question # 22

The in-centre of triangle whose vertices are (0,0), (5,12) and (16,12) is:

Question # 23

The points A, B and C are said to be collinear if they:

Question # 24

Shifting origin to (-3,2), the new coordinates of (-6,9) are:

Question # 25

The equation of the line through (-8, 5) having slope undefined is:

Question # 26

The distance of a point (x cosθ , x sinθ ) from origin is:

Question # 27

The two lines 5x + 7y = 35 and 3x -7y=21, intersect at the point:

Question # 28

The distance from the point P(6,-1) to the line 6x - 4x + 9 = 0 is:

Question # 29

The distance from the point P(3,4) to the line y = 2x - 3 is:

Question # 30

If points (-1 , h), (3,2) and (7,3) are collinear then h=

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 Three points (-2,2) (8,-2) and (-4,3) are vertices of a :
A. Isosceles triangle
B. right-angled triangle
C. Equilateral trainagle
D. Rectangle
2 If (x,y) are the coordinates of a point P, then the first number of the ordered pair is called:
A. Ordinate
B. Abscissa
C. quadrant
D. Cartesian
3 The distance from the point P(6,-1) to the line 6x - 4x + 9 = 0 is:
A. 5/7
B. √52/7
C. 2/48
D. 49 /√52
4 Shifting origin to (1,-2), the new coordinates of (4,5) are:
A. (3,7)
B. (5,3)
C. (-3,7)
D. (3,-7)
5 The two vertices of a triangle are (-2,4)and (5,4). If its centroid is (5,6), then third vertex is:
A. (-10,12)
B. (12,-10)
C. (12,10)
D. (10,12)
6 Shifting origin to (-4,-6), the new coordinates of (-6,-8) are:
A. (-1,2)
B. (-2,-2)
C. (1,-2)
D. (3.-2)
7 The equation of the line through (-8, 5) having slope undefined is:
A. y + 8 = 0
B. y = 8
C. y = x + 8
D. x + 8 = 0
8 The distance from the point P(3,4) to the line y = 2x - 3 is:
A. √5
B. √3
C. 2√3
D. 1/√5
9 The distance between two parallel lines 2x - 5y + 13 = 0 and -2x +5y -6 = 0 is:
A. √29
B. 8/√29
C. 7 /√29
D. 29√7
10 If points A (6,-1), B ( 1,3) and C (x,8) are such that AB=BC, then x =
A. 3,5
B. -3,5
C. 3,-5
D. -3,-5

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