ECAT Mathematics Chapter 20 Analytic Geometry

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  • Chapter NameCh 20 - Analytic geometry

ECAT Mathematics Chapter 20 Analytic Geometry

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ECAT Mathematics Chapter 20 Analytic Geometry

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Question # 1

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 # 2

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

Question # 3

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

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

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

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

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

Question # 16

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

Question # 17

The medians of a triangle are:

Question # 18

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

Question # 19

The cartesian system of coordinates was introduced by:

Question # 20

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

Question # 21

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

Question # 22

Bisectors of angles of a triangle are:

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

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

Question # 30

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

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