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

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

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

Question # 2

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

Question # 3

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

Question # 4

The cartesian system of coordinates was introduced by:

Question # 5

Axes remain parallel to the old axes, in:

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

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

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

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

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

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

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

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 # 30

Bisectors of angles of a triangle are:

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 The medians of a triangle are:
A. Collinear
B. Concurrent
C. Perpendicular
D. zero
2 The distance between lines 3x + 4y = 9 and 6x +8y = 15 is:
A. 2/3
B. 3/10
C. 8
D. 6/5
3 If points (5 , 5), (10 , x) and (-5 , 1) are collinear, x =
A. 5
B. 3
C. 9
D. 7
4 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
5 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
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 quadrilateral with the vertices (-3,-2), (2,-1), (3,4) and (-2,3) is a:
A. Square
B. Rectangle
C. rhombus
D. parallelogram
8 If the points (a,b), (x,y) and (a-x, b-y) are collinear, then ay =
A. bx
B. b-y
C. a-x
D. x
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 cartesian system of coordinates was introduced by:
A. Eulaer
B. Euclid
C. Descrates
D. Maclream

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