Geometry

The points (-4, 0), (4, 0), (0, 3) are the vertices of a

• Right triangle

• Isosceles triangle

• Equilateral triangle

• Scalene triangle

Tags

CCSS.6.G.A.3

The fourth vertex D of a parallelogram ABCD whose three vertices are A(-2, 3), B(6, 7) and C(8, 3) is

• (0, 1)

• (0, -1)

• (-1, 0)

• (1, 0)

Tags

CCSS.6.G.A.3

If P (α/3,4)

is the mid-point of the line segment joining the points Q(-6, 5) and R(-2, 3), then the value of‘a’ is

• -4

• -12

• 12

• 8

Tags

CCSS.HSG.GPE.B.6

If the distance between the points (4, P) and (1, 0) is 5, then the value of P is

• 4 only

• ± 4

• 4 only

• 0

Tags

CCSS.HSG.GPE.B.7

If the distance between the points A(2, -2) and B(-1, x) is equal to 5, then the value of x is:

• 2

• -2

• 1

• -1

Tags

CCSS.HSG.GPE.B.7

The point which divides the line segment of points P(-1, 7) and (4, -3) in the ratio of 2:3 is:

• (-1, 3)

• (-1, -3)

• (1, -3)

• (1, 3)

Tags

CCSS.HSG.GPE.B.6

The coordinates of a point P, where PQ is the diameter of a circle whose centre is (2, – 3) and Q is (1, 4) is:

• (3, -10)

• (2, -10)

• (-3, 10)

• (-2, 10)

Tags

CCSS.HSG.GPE.A.1

The area of a rhombus if its vertices are (3, 0), (4, 5), (-1, 4) and (-2,-1) taken in order, is

• 12 sq unit

• 21 sq unit

• 24 sq unit

• 48 sq unit

Tags

CCSS.HSG.GPE.B.7

The distance between the points (cosθ, sinθ) and (sinθ, -cosθ) is

• √3

• √2

• 2

• 1

Tags

CCSS.HSG.GPE.B.7

A line segment is of length 10 units. If the coordinates of its one end are (2, -3) and the abscissa of the other end is 10, then its ordinate is

• 9, 6

• 3, -9

• -3, 9

• 9, -6

Tags

CCSS.HSG.GPE.B.6