Question -
Answer -
(i) Given (5, 5), (-5,1) and (10, 7)
We have the conditionthat three points to be collinear, the area of the triangle formed by thesepoints will be zero. Now, we know that, vertices of a triangle are (x1,y1), (x2, y2) and (x3, y3),then the area of the triangle is given by
(ii) Given (1, -1),(2, 1) and (10, 8)
We have the conditionthat three points to be collinear, the area of the triangle formed by thesepoints will be zero. Now, we know that, vertices of a triangle are (x1,y1), (x2, y2) and (x3, y3),then the area of the triangle is given by,
(iii) Given (3, -2),(8, 8) and (5, 2)
We have the conditionthat three points to be collinear, the area of the triangle formed by thesepoints will be zero. Now, we know that, vertices of a triangle are (x1,y1), (x2, y2) and (x3, y3),then the area of the triangle is given by,
Now, by substitutinggiven value in above formula
Since, Area oftriangle is zero
Hence, points arecollinear.
(iv) Given (2, 3),(-1, -2) and (5, 8)
We have the conditionthat three points to be collinear, the area of the triangle formed by thesepoints will be zero. Now, we know that, vertices of a triangle are (x1,y1), (x2, y2) and (x3, y3),then the area of the triangle is given by,
