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

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

Question # 2

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

Question # 3

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

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

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

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

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

Question # 16

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

Question # 17

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 # 18

The medians of a triangle are:

Question # 19

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

Question # 20

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

Question # 21

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

Question # 22

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

Question # 23

Bisectors of angles of a triangle are:

Question # 24

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

Question # 25

Axes remain parallel to the old axes, in:

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

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

Question # 30

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

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 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)
2 The in-centre of triangle whose vertices are (0,0), (5,12) and (16,12) is:
A. (9,7)
B. (2,7)
C. (9,2)
D. (7,9)
3 The cartesian system of coordinates was introduced by:
A. Eulaer
B. Euclid
C. Descrates
D. Maclream
4 The medians of a triangle are:
A. Collinear
B. Concurrent
C. Perpendicular
D. zero
5 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
6 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)
7 The points (5,2),(-2,3),(-3,-4) and (4,-5) are the vertices of:
A. rhombus
B. Parallelogram
C. rectangle
D. square
8 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
9 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
10 The points (a ,0),(0,b) and (3a , -2b) are:
A. Collinear
B. Vertices of isosceles triangle
C. corner of a right-angled triangle
D. None of these

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