Question

The orthocentre of the triangle formed by (0,0), (8, 0) and (4, 6) is

• A. $ f $
• B. $ 1.27f $
• C. $ \text{1}.0\text{1}\times \text{1}{{0}^{\text{5}}}\text{ N}/{{\text{m}}^{\text{2}}} $
• D. $ \text{9}.\text{13}\times \text{1}{{0}^{\text{4}}}\text{ N}/{{\text{m}}^{\text{2}}} $

Answer 1

Answer: (A)

Line perpendicular to OA passing through B is $ x=4 $ .
Slope of $ AB=-\frac{3}{2} $ Line perpendicular to AB and passes through origin is $ y=\frac{2}{3}x $ $ \therefore $ The point of intersection of a line x = 4 and $ y=\frac{2}{3}x $ is $ \left( 4,\frac{8}{3} \right) $ , which is the required orthocentre.