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

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 form(-2,3) to the line y=2x-3 is:

Question # 2

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

Question # 3

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

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

The medians of a triangle are:

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

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

Question # 16

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

Question # 17

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

Question # 18

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 # 19

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

Question # 20

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

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

The cartesian system of coordinates was introduced by:

Question # 30

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

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 The cartesian system of coordinates was introduced by:
A. Eulaer
B. Euclid
C. Descrates
D. Maclream
2 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
3 The points (3,1), (-2,-3) and (2,2) are the vertices of :
A. Equilateral triangle
B. Isosceles triangle
C. right -angled triangle
D. rhombus
4 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)
5 Axes remain parallel to the old axes, in:
A. Translating of axes
B. rotation of axes
C. Translation and rotation of axes
D. None of these
6 Shifting origin to (-3,2), the new coordinate of (-2,6) are:
A. (1,4)
B. (2,4)
C. (-1,3)
D. (-1,4)
7 Shifting origin to (-3,2), the new coordinates of (-6,9) are:
A. (-9,7)
B. (3,7)
C. (-3,7)
D. (3,-7)
8 The distance of a point (x cosθ , x sinθ ) from origin is:
A. x
B. x tanθ
C. -tanθ
D. -cotθ
9 If points (5 , 5), (10 , x) and (-5 , 1) are collinear, x =
A. 5
B. 3
C. 9
D. 7
10 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

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