Coordinate geometry class 10

If the vetices of a triangle have integral coordinates, the Triangle cannot be

• Right angled triangle

• Isosceles triangle

• Equilateral triangle

• None of these

In the given figure the area of triangle ABC ( in sq. Units ) is

• 15

• 10

• 7.5

• 2.5

Ratio in which the line 3x + 4y = 7 divides the line segment joining the points ( 1,2) and ( -2,1 )

• 3 : 5

• 4 : 6

• 4 : 9

• None of these

Find the coordinates of the point equidistant from the points A(1, 2), B (3, –4) and C(5, –6).

• ( 2,3 )

• ( -1,-2 )

• ( 0,3 )

• ( 1,3 )

Find the distance of the point (–6, 8) from the origin

• 8

• 11

• 10

• 9

Find the coordinates of the point equidistant from the points A(5, 1), B(–3, –7) and C(7, –1).

• ( 2,-4 )

• ( 3,-6 )

• ( 4,7 )

• ( 8,-6 )

Two of the vertices of a triangle ABC are given by A(6, 4) and B(–2, 2) and its centroid is G(3, 4). Find the coordinates of the third vertex C of the ΔABC.

• (2, 3)

• (4, 6)

• ( 4,3 )

• ( 5,6 )

Find the ratio in which the line joining the points (6, 4) and (1, –7) is divided by x-axis.

• 1:3

• 2:7

• 4:7

• 6:7

The vertices of a ΔABC and given by A(2, 3) and B(–2, 1) and its centroid is G

Find the coordinates of the third vertex C of the ΔABC.

• (0, 2)

• ( 1,-2)

• ( 2,-3 )

• ( -2,3 )

Points ( 1,5 ), ( 2, 3 ) and ( -2, -11 ) are