In a triangle with vertices find the altitude
Explanation for the correct option:
Step 1: Finding the coordinates of
Let the coordinates of be
The equation of the line can be written as: .
Let
Therefore, the point of the line will be written in the form:
Now, since lies on , it will also satisfy the form.
On equating and we get,
Step 2: Finding the altitude
have and have
Since, and are perpendicular, we have:
Therefore, the point
Hence,
Hence, the correct answer is option (A)