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

00:00
Question # 1

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

Question # 2

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

Question # 3

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

Question # 4

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

Question # 5

The cartesian system of coordinates was introduced by:

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

The medians of a triangle are:

Question # 10

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

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

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

Question # 16

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

Question # 17

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

Question # 18

Axes remain parallel to the old axes, in:

Question # 19

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

Question # 20

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

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

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 # 25

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

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

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

Question # 30

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

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 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
2 The points (-1,3), (3,0) are the vertices of:
A. Right-angled triangle
B. Isosceles triangle
C. Equilateral triangle
D. square
3 If points A (6,-1), B ( 1,3) and C (x,8) are such that AB=BC, then x =
A. 3,5
B. -3,5
C. 3,-5
D. -3,-5
4 The quadrilateral with the vertices (-3,-2), (2,-1), (3,4) and (-2,3) is a:
A. Square
B. Rectangle
C. rhombus
D. parallelogram
5 The slope of the line from B (2,-3) through A (0,3) is:
A. -3
B. 1/3
C. 0
D. undefined
6 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
7 In translation of axes,________is shifted to another point in the plane.
A. a-axis
B. y-axis
C. origin
D. Point
8 If points (5 , 5), (10 , x) and (-5 , 1) are collinear, x =
A. 5
B. 3
C. 9
D. 7
9 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
10 The cartesian system of coordinates was introduced by:
A. Eulaer
B. Euclid
C. Descrates
D. Maclream

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