Collinearity Of Points

Step 1: Condition for collinearity of points.
For the points to be collinear, the area of the triangle formed by them should be zero. The area $A$ of a triangle with vertices $(x_1%2C%20y_1)%2C%20(x_2%2C%20y_2)%2C%20(x_3%2C%20y_3)$ is given by the formula: $A%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5Cleft%7C%20x_1(y_2%20-%20y_3)%20%2B%20x_2(y_3%20-%20y_1)%20%2B%20x_3(y_1%20-%20y_2)%20%5Cright%7C$ Substitute the coordinates of the points into the formula and solve for $K$ . After simplifying, we find that $K%20%3D%20%5Cfrac%7B1%7D%7B2%7D$ and $K%20%3D%20-1$ satisfy the condition. Therefore, the correct answer is 1. (A) and (D) only.

High-Yield Trend

Chapter Questions
1 MCQs

Official Solution

Collinearity Of Points

High-Yield Trend

Chapter Questions 1 MCQs

Official Solution

Chapter Questions
1 MCQs