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

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 # 2

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

Question # 3

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

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

Bisectors of angles of a triangle are:

Question # 10

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

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

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

Question # 16

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

Question # 17

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

Question # 18

Axes remain parallel to the old axes, in:

Question # 19

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

Question # 20

The cartesian system of coordinates was introduced by:

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

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

Question # 30

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

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 The points (-1,3), (3,0) are the vertices of:
A. Right-angled triangle
B. Isosceles triangle
C. Equilateral triangle
D. square
2 Shifting origin to (-3,2), the new coordinates of (-6,9) are:
A. (-9,7)
B. (3,7)
C. (-3,7)
D. (3,-7)
3 The length of perpendicular from (3,1) to the line 4x + 3y +20 = 0 is:
A. 7
B. 5
C. 11
D. 12
4 The two lines x + y = 0 and 2x - y + 3 = 0 intersect at the point:
A. (-1,1)
B. (2,3)
C. (1,3)
D. (-1,2)
5 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
6 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
7 The medians of a triangle are:
A. Collinear
B. Concurrent
C. Perpendicular
D. zero
8 The distance of a point (x cosθ , x sinθ ) from origin is:
A. x
B. x tanθ
C. -tanθ
D. -cotθ
9 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)
10 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

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