Question

Write the sum of coordinates of the orthocentre of the triangle whose sides lie along the line $x=0,y=0$ and $3x-5y+7=0.$

Answer 1

x = 0 is y - asix

y=0 is x - axis

Both are perpendicular.

$\Rightarrow$ orthcentre of triangle is point of intersection of x =0 & y =0.

$\Rightarrow$ orthocentre is (0, 0).

Sum of co-ordinates $=0+0=0$