Question 138

The co-ordinates of the vertices of a right-angled triangle are P (3, 4), QA(7, 4) and R (3, 8), the right-angle being at P. The co-ordinates of the orthocentre of APQR are

Solution

Since it is a right angled triangle, the 2 sides adjacent to the right angle will be altitudes. The third altitude must meet at the vertex at which these 2 sides meet.
Hence, the vertex that contains the right angle is the orthocentre. From the points given, we can clearly see that (3,4) is the orthocentre. Option B is the right answer,


Create a FREE account and get:

  • Free SSC Study Material - 18000 Questions
  • 230+ SSC previous papers with solutions PDF
  • 100+ SSC Online Tests for Free

cracku

Boost your Prep!

Download App