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

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Question # 1

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

Question # 2

Axes remain parallel to the old axes, in:

Question # 3

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

Question # 4

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

Question # 5

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

Question # 6

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 # 7

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

Question # 8

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

Question # 9

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

Question # 10

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

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

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

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

The medians of a triangle are:

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

The cartesian system of coordinates was introduced by:

Question # 30

Bisectors of angles of a triangle are:

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ECAT Class Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 The points (0,-1), (2,1),(0,3) and (-2,1) are the corner of:
A. Square
B. rhombus
C. Parallelogram
D. rectangel
2 The points (-1,3), (3,0) are the vertices of:
A. Right-angled triangle
B. Isosceles triangle
C. Equilateral triangle
D. square
3 The medians of a triangle are:
A. Collinear
B. Concurrent
C. Perpendicular
D. zero
4 In translation of axes,________is shifted to another point in the plane.
A. a-axis
B. y-axis
C. origin
D. Point
5 The distance between the parallel lines 3x - 4y + 3 =0 and 3x -4y + 7 = 0 is:
A. 2/3
B. 9/13
C. 4/5
D. 7/12
6 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
7 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
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 If the line is parallel to they y-axis, then m is said to be:
A. zero
B. undefined
C. 1/2
D. -1
10 If points (-1 , h), (3,2) and (7,3) are collinear then h=
A. 3
B. 4
C. 0
D. None of these

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