Question

If the point \(M\) is the foot of the perpendicular drawn from the point \(P(0,9)\) to the straight line \[ 2x-5y+16=0, \] and \(Q=(12,8)\), then the orthocentre of \(\triangle MPQ\) is

• A. \((2,4)\)
• B. \(\left(6,\dfrac{17}{2}\right)\)
• C. \((7,6)\)
• D. \(\left(\dfrac{14}{3},7\right)\)

Hint:

In any right-angled triangle, the orthocentre coincides with the vertex at which the right angle is formed.

Answer 1

The Correct Option is A