Let two points be and . If a point be such that the area of and it lies on the line, , then the value of lambda is
Explanation for the correct option:
Step 1: Calculating the area of triangle
Given two points as and .
Also given that, the area of , we know that the area of is,
Substituting as , as , as and as in area of . [given]
By taking off the modulus, we get
And the negative as,
Step 2: Finding the value of
Now by comparing the given line of equations and we get,
Also by comparing the given line of equations and we get,
The obtained values of are , where is the positive value.
Therefore, the value of is .
Hence, option (D) is the correct answer.