On plotting the points O (0, 0), A (3, 0), B (3, 4), C (0, 4) and joining OA, AB, BC and CO which of the following figure is obtained?
(a) Square
(b) Rectangle
(c) Trapezium
(d) Rhombus
Solution:
On plotting the points O (0, 0), A (3, 0), B (3, 4), C (0, 4)
OA, AB, BC and CO are joined
The figure so formed will a rectangle (b)
The pair of equation x – a and y = b graphically represents lines which are
(a) parallel
(b) intersecting at (b, a)
(c) coincident
(d) intersecting at (a, b)
Solution:
x = a, y = 6
Which are intersecting at (a, b) (d)
The distance of the point P (2, 3) from the x>axis is
(a) 2 units
(b) 3 units
(c) 1 unit
(d) 5 units
Solution:
The distance of the point P (2, 3) from x- axis is 3 units (as y = 3). (b)
More Solutions:
- Three vertices of a rectangle are A (2, -1), B (2, 7), and C (4, 7).
- What is the area of the parallelogram?
- Also find slope and y-intercept of these lines.
- Draw the graph of the equation 3x – 4y = 12.
- The simultaneous equations: 2x – 3y = 7; x + 6y = 11.
- System of equations graphically: x – 2y – 4 = 0, 2x + .y – 3 = 0.
- Using a scale of l cm to 1 unit for both the axes.
- The lines : 8y – 3x + 7 = 0, 2x-y + 4 = 0 and 5x + 4y = 29.
- Find the area of the triangle formed by these lines.
- Find the abscissa of the other end.