ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 20

Question # 1

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

5√2 A
6 B
2√5 C
7.5 D

Question # 2

The cartesian system of coordinates was introduced by:

Eulaer A
Euclid B
Descrates C
Maclream D

Question # 3

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

(7,5) A
(1,2) B
(2,7) C
(7,0) D

Question # 4

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

Collinear A
Vertices of isosceles triangle B
corner of a right-angled triangle C
None of these D

Question # 5

Axes remain parallel to the old axes, in:

Translating of axes A
rotation of axes B
Translation and rotation of axes C
None of these D

Question # 6

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

Square A
rhombus B
Parallelogram C
rectangel D

Question # 7

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

√29 A
8/√29 B
7 /√29 C
29√7 D

Question # 8

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

y + 8 = 0 A
y = 8 B
y = x + 8 C
x + 8 = 0 D

Question # 9

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

Square A
Rectangle B
rhombus C
parallelogram D

Question # 10

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

a-axis A
y-axis B
origin C
Point D

Question # 11

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

zero A
undefined B
1/2 C
-1 D

Question # 12

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

-3 A
1/3 B
0 C
undefined D

Question # 13

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

x A
x tanθ B
-tanθ C
-cotθ D

Question # 14

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

(1,4) A
(2,4) B
(-1,3) C
(-1,4) D

Question # 15

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

Right-angled triangle A
Isosceles triangle B
Equilateral triangle C
square D

Question # 16

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

Ordinate A
Abscissa B
quadrant C
Cartesian D

Question # 17

The medians of a triangle are:

Collinear A
Concurrent B
Perpendicular C
zero D

Question # 18

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

(-1,1) A
(2,3) B
(1,3) C
(-1,2) D

Question # 19

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

√5 A
√3 B
2√3 C
1/√5 D

Question # 20

In 𝜟ABC the mid points of AB and AC are (3,5) and -3,-1) respectively, then the length of the side BC is:

15 A
10 B
30 C
20 D

Question # 21

Bisectors of angles of a triangle are:

Collinear A
Concurrent B
Perpendicular C
zero D

Question # 22

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

(4,3)(8,6) A
(4,3)(6,8) B
(3,4)(6,8) C
(3,4)(8,6) D

Question # 23

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

be on same line A
have same slope B
Lie on a same plane C
options a & b D

Question # 24

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

bx A
b-y B
a-x C
x D

Question # 25

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

2 : 1 A
-2 : 1 B
1 : 2 C
-1 : 2 D

Question # 26

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

3,5 A
-3,5 B
3,-5 C
-3,-5 D

Question # 27

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

(-1,2) A
(-2,-2) B
(1,-2) C
(3.-2) D

Question # 28

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

Equilateral triangle A
Isosceles triangle B
right -angled triangle C
rhombus D

Question # 29

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

2/3 A
9/13 B
4/5 C
7/12 D

Question # 30

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

Isosceles triangle A
right-angled triangle B
Equilateral trainagle C
Rectangle D

Sr.#	Question	Answer
1	In translation of axes,________is shifted to another point in the plane.	A. a-axis B. y-axis C. origin D. Point
2	Shifting origin to (-3,2), the new coordinate of (-2,6) are:	A. (1,4) B. (2,4) C. (-1,3) D. (-1,4)
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	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
5	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
6	If (x,y) are the coordinates of a point P, then the first number of the ordered pair is called:	A. Ordinate B. Abscissa C. quadrant D. Cartesian
7	The medians of a triangle are:	A. Collinear B. Concurrent C. Perpendicular D. zero
8	Bisectors of angles of a triangle are:	A. Collinear B. Concurrent C. Perpendicular D. zero
9	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
10	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

Latest Educational News Stories

Pakistan's Largest Database of Colleges and Universities

BS Programs

University Past Papers

University Results

Exam Results 2024

Study Abroad Programs and Opportunities for Pakistani Students