Class Test

If the point A(m,n) is first reflected in the y-axis and then reflected in the x-axis to the point A''(-10,15), then the value of (m-n) is:

• -25

• -5

• 5

• 25

If the point P(a, b) is reflected in the y-axis to P'(-3,-9), then the value of (a+b) is:

• -6

• 6

• -15

• -12

Which of the following points is invariant under reflection in the x-axis?

• (-3,4)

• (7,-6)

• (0,-4)

• (-5,0)

Which of the following points is invariant with respect to the line y=-2?

• (2,3)

• (-3,2)

• (-2,3)

• (3,-2)

The center of the circle having end points of its one diameter as (-4, 2) and (4, -3) is:

• (0, -1)

• (2,-1)

• (0,-1/2)

• (4, -5/2)

If the point R(5, 7) is the mid-point of the line segment joining the points P(3, y) and Q(x, 9), then (x+y) equals:

• 7

• 9

• 12

• 14

The points A, B, and C divide the line segment PQ joining the points P(-3, 8) and Q(9, -4) into four equal parts. If A is nearest to P, then the coordinates of A are:

• (-3, 5)

• (0, 5)

• (3, 5)

• (6, -1)

If the point P(k, 0) divides the line segment joining the points A(2,-2) and B(-7, 4) in the ratio 1:2, then the value of k is:

• -2

• -2

• 1

• 2

The line 2x+y-4=0 divides the line segment joining A(2, -2) and B(3,7) in the ratio

• 2:3

• 2:5

• 2:7

• 2:9

A(1,4), B(4,1), and C(x,4) are the vertices of the triangle ABC. If the centroid of the triangle is G(4, 3), then x is equal to:

• 2

• 1

• 4

• 7