The area of a triangle is 21 sq. units. If two of its vertices lie on points (5, 3) and (–4, –3), then find the locus of the third vertex.

The number of bricks, each measuring 25 cm x 12.5 cm x 7.5 cm, required to construct a wall 6m long , 5m high and 0.5 m thick, while the mortar occupies 5% of the volume of the wall, is

A flagstraff 17.5 m high casts a shadow of length 40.25 m. The height of the building which casts a shadow of length 28.75 m under similar conditions will be?

What is the distance between the c intercept and the r intercept of the line given by the equation?

2r = 6 - f?

The slope of the line Joining A (-4. 6) and B (5, 3) is

What is the slope of the line given by the equation 3p – 5 = 5 – 2k?

Where defined, {y² – 3/3} {8/2y + 3} =

The area of a rhombus is 150 cm². The length of one of its diagonals is 10cm. The length of the other diagonal is:

The radii of two cylinders are in the ratio 2 : 3 and heights 5 : 3. Calculate ratio of their volumes

Two diagonals of a parallelogram are 72 cm and 30 cm respectively. What is its perimeter?