ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 20 (Analytic Geometry)

MCQ's Test For ECAT (Pre-Eng) Mathematics Chapter 20 Analytic Geometry

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ECAT (Pre-Eng) Mathematics Chapter 20 Analytic Geometry

00:00
Question # 1

Bisectors of angles of a triangle are:

Question # 2

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

Question # 3

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

Question # 4

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

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

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

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

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

Question # 11

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

Question # 12

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

Question # 13

Axes remain parallel to the old axes, in:

Question # 14

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

Question # 15

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

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

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

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

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

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 equation of the line through (-8, 5) having slope undefined is:

Question # 30

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

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 Shifting origin to (1,-2), the new coordinates of (4,5) are:
A. (3,7)
B. (5,3)
C. (-3,7)
D. (3,-7)
2 The length of perpendicular from (3,1) to the line 4x + 3y +20 = 0 is:
A. 7
B. 5
C. 11
D. 12
3 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
4 If points (-1 , h), (3,2) and (7,3) are collinear then h=
A. 3
B. 4
C. 0
D. None of these
5 Shifting origin to (-3,2), the new coordinates of (-6,9) are:
A. (-9,7)
B. (3,7)
C. (-3,7)
D. (3,-7)
6 The medians of a triangle are:
A. Collinear
B. Concurrent
C. Perpendicular
D. zero
7 The distance of a point (x cosθ , x sinθ ) from origin is:
A. x
B. x tanθ
C. -tanθ
D. -cotθ
8 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
9 The slope of the line from B (2,-3) through A (0,3) is:
A. -3
B. 1/3
C. 0
D. undefined
10 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)

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