The graph of the linear equation 3x + 4y = 24 is a straight line intersecting x-axis and y-axis at the points A and B respectively. P(2, 0) and  are two points on the sides OA and OB respectively of Δ OAB, where O is the origin of co-ordinate system. Given that AB = 10 cm, then PQ = 

• 20 cm

• 2.5 cm

• 40 cm

• 40 cm

The area of a triangle with vertices A(0, 8), O(0, 0) and B (5, 0) is

• 8 sq units

• 13 sq units

• 20 sq units

• 40 sq units

If the distance between two points (0, -5) and (x, 0) is 13 unit, then x equal to

• 10

• 

• 12

• 

The area of the triangle formed by the lines 5x + 7y = 35,   4x + 3y = 12 and x-axis is

• 160/13 sq units

• 150/13 sq units

• 140/13 sq units

• 10 sq units

The distance between the points (0, 0) and the intersecting point of the graph of x = 3 and y = 4 is

• 3 units

• 2 units

• 5 units

• 4 units

A triangle is formed by the x-axis and the lines 2x + y  = 4 and x - y + 1 = 0 as three sides. Taking the side along x-axis as its base, the corresponding altitude of the triangle is

• 3 units

• √5 units

• 1 units

• 2 units

An equation of the form ax + by + c = 0, where,  represents a straight line which passes through

• (2, 4)

• (0, 0)

• (3, 2)

• None of these

ax + 5y = 8 has slope of  What is the value of a?

19.

The co-ordinates of the centroid of a Δ ABC are (1, -4). What are the co-ordinates of vertex C if co-ordinates of A and B are (3, -4) and (0, 5) respectively.

• (0, 13)

• (0, 5)

• (0, -5)

• (0, -13)

What is the reflection of the point (-1, 3), in the line x = -4?

• (-7, -3)

• (-7, 3)

• (7, -3)

• (7, 3)