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

Bisectors of angles of a triangle are:

Question # 2

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

Question # 3

Axes remain parallel to the old axes, in:

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

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

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

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

Question # 16

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

Question # 17

The cartesian system of coordinates was introduced by:

Question # 18

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

Question # 19

The medians of a triangle are:

Question # 20

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

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

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 # 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 distance from the point P(3,4) to the line y = 2x - 3 is:
A. √5
B. √3
C. 2√3
D. 1/√5
3 Axes remain parallel to the old axes, in:
A. Translating of axes
B. rotation of axes
C. Translation and rotation of axes
D. None of these
4 The points A, B and C are said to be collinear if they:
A. be on same line
B. have same slope
C. Lie on a same plane
D. options a & b
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:
A. 15
B. 10
C. 30
D. 20
6 Bisectors of angles of a triangle are:
A. Collinear
B. Concurrent
C. Perpendicular
D. zero
7 The length of perpendicular from (3,1) to the line 4x + 3y +20 = 0 is:
A. 7
B. 5
C. 11
D. 12
8 If the line is parallel to they y-axis, then m is said to be:
A. zero
B. undefined
C. 1/2
D. -1
9 The quadrilateral with the vertices (-3,-2), (2,-1), (3,4) and (-2,3) is a:
A. Square
B. Rectangle
C. rhombus
D. parallelogram
10 The distance between lines 3x + 4y = 9 and 6x +8y = 15 is:
A. 2/3
B. 3/10
C. 8
D. 6/5

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