ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 20 (Analytic Geometry)

MCQ's Test For ECAT (Pre-Eng) Mathematics Chapter 20 Analytic Geometry

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ECAT (Pre-Eng) Mathematics Chapter 20 Analytic Geometry

00:00
Question # 1

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

Question # 2

The cartesian system of coordinates was introduced by:

Question # 3

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

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

The quadrilateral with the vertices (-3,-2), (2,-1), (3,4) and (-2,3) is a:

Question # 10

Three points (-2,2) (8,-2) and (-4,3) are vertices of a :

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

The distance between lines 3x + 4y = 9 and 6x +8y = 15 is:

Question # 15

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

Question # 16

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

Question # 17

Bisectors of angles of a triangle are:

Question # 18

The medians of a triangle are:

Question # 19

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

Question # 20

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

Question # 21

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

Question # 22

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

Question # 23

The points (0,-1), (2,1),(0,3) and (-2,1) are the corner of:

Question # 24

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

Question # 25

The two lines x + y = 0 and 2x - y + 3 = 0 intersect at the point:

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

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

Question # 30

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

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 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
2 The slope of the line from B (2,-3) through A (0,3) is:
A. -3
B. 1/3
C. 0
D. undefined
3 The points (3,1), (-2,-3) and (2,2) are the vertices of :
A. Equilateral triangle
B. Isosceles triangle
C. right -angled triangle
D. rhombus
4 The points (-1,3), (3,0) are the vertices of:
A. Right-angled triangle
B. Isosceles triangle
C. Equilateral triangle
D. square
5 Shifting origin to (1,-2), the new coordinates of (4,5) are:
A. (3,7)
B. (5,3)
C. (-3,7)
D. (3,-7)
6 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)
7 If the points (a,b), (x,y) and (a-x, b-y) are collinear, then ay =
A. bx
B. b-y
C. a-x
D. x
8 Shifting origin to (-3,2), the new coordinate of (-2,6) are:
A. (1,4)
B. (2,4)
C. (-1,3)
D. (-1,4)
9 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
10 In translation of axes,________is shifted to another point in the plane.
A. a-axis
B. y-axis
C. origin
D. Point

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