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

Question # 2

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

Question # 3

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

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

Bisectors of angles of a triangle are:

Question # 9

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

Question # 10

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

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

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

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

The cartesian system of coordinates was introduced by:

Question # 21

Axes remain parallel to the old axes, in:

Question # 22

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

Question # 23

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

Question # 24

The medians of a triangle are:

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

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 # 28

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

Question # 29

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

Question # 30

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

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Sr.# Question Answer
1 The length of perpendicular from (3,1) to the line 4x + 3y +20 = 0 is:
A. 7
B. 5
C. 11
D. 12
2 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
3 The quadrilateral with the vertices (-3,-2), (2,-1), (3,4) and (-2,3) is a:
A. Square
B. Rectangle
C. rhombus
D. parallelogram
4 Bisectors of angles of a triangle are:
A. Collinear
B. Concurrent
C. Perpendicular
D. zero
5 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
6 The equation of the line through (-8, 5) having slope undefined is:
A. y + 8 = 0
B. y = 8
C. y = x + 8
D. x + 8 = 0
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 The cartesian system of coordinates was introduced by:
A. Eulaer
B. Euclid
C. Descrates
D. Maclream
9 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
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
11 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)

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