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
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)