ECAT (Pre-Eng) Mathematics Chapter 20 Analytic Geometry

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  • Chapter NameCh 20 - Analytic geometry

ECAT (Pre-Eng) Mathematics Chapter 20 Analytic Geometry

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ECAT (Pre-Eng) Mathematics Chapter 20 Analytic Geometry

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Question # 1

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

Question # 2

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

Question # 3

The cartesian system of coordinates was introduced by:

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

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

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

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 # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

The medians of a triangle are:

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

Axes remain parallel to the old axes, in:

Question # 25

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

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

Bisectors of angles of a triangle are:

Question # 30

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

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