Find the area of the triangle whose vertices are (-3, 5) , (5, 6) and (5, - 2)

Show that the points P(-1, 5, 3), Q(6, -2) , R(-3, 4) are collinear.

If the area of the triangle formed by the vertices A(-1, 2), B(k, -2) and C(7, 4) (taken in order) is 22 sq. units, find the value of k.

If the points P(-1, -4), Q (b, c) and R(5, -1) are collinear and if 2b + c = 4, then find the values of b and c.

The floor of a hall is covered with identical tiles which are in the shapes of triangles. One such triangle has the vertices at (-3, 2), (-1, -1) and (1, 2). If the floor of the hall is completely covered by 110 tiles, find the area of the floor.

Find the area of the quadrilateral formed by the points (8, 6), (5, 11), (-5, 12) and (-4, 3).

The given diagram shows a plan for constructing a new parking lot at a campus. It is estimated that such construction would cost Rs. 1300 per square feet. What will be the total cost for making the parking lot?

Find the area of the quadrilateral whose vertices are at (–9, –2), (–8, –4), (2, 2) and (1, –3)

Find the value of k, if the area of a quadrilateral is 28 sq.units, whose vertices are (–4, –2), (–3, k), (3, –2) and (2, 3)

If the points A(- 3, 9) , B(a, b) and C(4, - 5) are collinear and if a + b = 1 , then find a and b.

Let P(11, 7), Q(13.5, 4) and R(9.5, 4) be the midpoints of the sides AB, BC and AC respectively of Δ ABC. Find the coordinates of the vertices A, B and C. Hence find the area of Δ ABC and compare this with area of ΔPQR.

In the figure, the quadrilateral swimming pool shown is surrounded by concrete patio. Find the area of the patio.

In the figure, find the area of triangle AGF

A(1, -2) , B(6, -2), C(5, 1) and D(2, 1) be four points Find the slope of the line segment (a) AB (b) CD

Consider the graph representing growth of population (in crores). Find the slope of the line AB and hence estimate the population in the year 2030?