Advertisements
Advertisements
प्रश्न
Determine whether the sets of points are collinear?
`(-1/2, 3), (-5, 6) and (-8, 8)`
Advertisements
उत्तर
Let the points be `"A"(-1/2, 3), "B" (-5, 6) and "C"(-8, 8)`
Area of ∆ABC = `1/2[(x_1y_2 + x_2y_3+ x_3y_1) - (x_2y_1 + x_3y_3 + x_1y_3)]`
= `1/2[(-3 - 40 - 24) - (-15 - 48 - 4)]`
=`1/2[-67 + 67]`
= `1/2 xx 0`
= 0
Area of a ∆ is 0.
∴ The three points are collinear.
APPEARS IN
संबंधित प्रश्न
A traffic signal board, indicating ‘SCHOOL AHEAD’, is an equilateral triangle with side ‘a’. Find the area of the signal board, using Heron’s formula. If its perimeter is 180 cm, what will be the area of the signal board?
The perimeter of an isosceles triangle is 42 cm and its baše is (32) times each of the equal sides. Find the length of each side of the triangle, area of the triangle and the height of the triangle.
The adjacent sides of a parallelogram ABCD measure 34 cm and 20 cm, and the diagonal AC measures 42 cm. Find the area of the parallelogram.
A triangle and a parallelogram have the same base and the same area. If the sides of the triangle are 13 cm, 14 cm and 15 cm and the parallelogram stands on the base 14 cm, find the height of the parallelogram.
Find the area of triangle AGF
Find the area of triangle FED
The area of triangle formed by the points (− 5, 0), (0, – 5) and (5, 0) is
If the side of a rhombus is 10 cm and one diagonal is 16 cm, the area of the rhombus is 96 cm2.
The cost of levelling the ground in the form of a triangle having the sides 51 m, 37 m and 20 m at the rate of Rs 3 per m2 is Rs 918.
The triangular side walls of a flyover have been used for advertisements. The sides of the walls are 13 m, 14 m and 15 m. The advertisements yield an earning of Rs 2000 per m2 a year. A company hired one of its walls for 6 months. How much rent did it pay?
