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

Question # 2

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

Question # 3

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

Question # 4

The coordinates of a point which trisects segment joining (0,0) and (9,12) are:

Question # 5

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 # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

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

Question # 11

Shifting origin to (1,-2), the new coordinates of (4,5) are:

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

The cartesian system of coordinates was introduced by:

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

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

Question # 21

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

Question # 22

Axes remain parallel to the old axes, in:

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

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

Question # 30

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

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 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
2 The points (5,2),(-2,3),(-3,-4) and (4,-5) are the vertices of:
A. rhombus
B. Parallelogram
C. rectangle
D. square
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 The length of perpendicular form(-2,3) to the line y=2x-3 is:
A. 5√2
B. 6
C. 2√5
D. 7.5
5 In translation of axes,________is shifted to another point in the plane.
A. a-axis
B. y-axis
C. origin
D. Point
6 The length of perpendicular from (3,1) to the line 4x + 3y +20 = 0 is:
A. 7
B. 5
C. 11
D. 12
7 The coordinates of a point which trisects segment joining (0,0) and (9,12) are:
A. (4,3)(8,6)
B. (4,3)(6,8)
C. (3,4)(6,8)
D. (3,4)(8,6)
8 The distance between lines 3x + 4y = 9 and 6x +8y = 15 is:
A. 2/3
B. 3/10
C. 8
D. 6/5
9 x-axis divides the line segment joining points (2,-3) and (5,6) in the ratio:
A. 2 : 1
B. -2 : 1
C. 1 : 2
D. -1 : 2
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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