ECAT Pre Engineering MCQ Test With Answer for Chapter 22 Mathematics

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

00:00
Question # 1

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

Question # 2

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

Question # 3

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

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

The length of perpendicular form(-2,3) to the line y=2x-3 is:

Question # 8

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

Question # 9

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

Question # 10

Bisectors of angles of a triangle are:

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

The distance between the parallel lines 3x - 4y + 3 =0 and 3x -4y + 7 = 0 is:

Question # 16

In 𝜟ABC the mid points of AB and AC are (3,5) and -3,-1) respectively, then the length of the side BC is:

Question # 17

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

Question # 18

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

Question # 19

The medians of a triangle are:

Question # 20

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

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

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

Question # 30

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

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 If a point (p,q) is equidistant from the points (5,3) and (-2,-4), then p+ q =
A. -1
B. 1
C. 3
D. -3
2 The points (0,-1), (2,1),(0,3) and (-2,1) are the corner of:
A. Square
B. rhombus
C. Parallelogram
D. rectangel
3 Shifting origin to (1,-2), the new coordinates of (4,5) are:
A. (3,7)
B. (5,3)
C. (-3,7)
D. (3,-7)
4 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
5 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
6 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
7 The slope of the line from B (2,-3) through A (0,3) is:
A. -3
B. 1/3
C. 0
D. undefined
8 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)
9 In translation of axes,________is shifted to another point in the plane.
A. a-axis
B. y-axis
C. origin
D. Point
10 Shifting origin to (-3,2), the new coordinates of (-6,9) are:
A. (-9,7)
B. (3,7)
C. (-3,7)
D. (3,-7)

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