ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 20 (Analytic Geometry)

MCQ's Test For ECAT (Pre-Eng) Mathematics Chapter 20 Analytic Geometry

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ECAT (Pre-Eng) Mathematics Chapter 20 Analytic Geometry

00:00
Question # 1

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

Question # 2

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 # 3

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

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

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

Question # 11

The medians of a triangle are:

Question # 12

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

Question # 13

The cartesian system of coordinates was introduced by:

Question # 14

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

Question # 15

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

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

Axes remain parallel to the old axes, in:

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

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

Question # 30

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

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 If a point (p,q) is equidistant from the points (5,3) and (-2,-4), then p+ q =
A. -1
B. 1
C. 3
D. -3
2 The distance of a point (x cosθ , x sinθ ) from origin is:
A. x
B. x tanθ
C. -tanθ
D. -cotθ
3 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
4 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
5 The length of perpendicular from (3,1) to the line 4x + 3y +20 = 0 is:
A. 7
B. 5
C. 11
D. 12
6 In translation of axes,________is shifted to another point in the plane.
A. a-axis
B. y-axis
C. origin
D. Point
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 points (-1,3), (3,0) are the vertices of:
A. Right-angled triangle
B. Isosceles triangle
C. Equilateral triangle
D. square
9 Shifting origin to (-3,2), the new coordinate of (-2,6) are:
A. (1,4)
B. (2,4)
C. (-1,3)
D. (-1,4)
10 The points (0,-1), (2,1),(0,3) and (-2,1) are the corner of:
A. Square
B. rhombus
C. Parallelogram
D. rectangel

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