A) \[\left( \frac{5}{2},\frac{3}{4} \right)\]
B) \[\left( \frac{-5}{2},\frac{3}{4} \right)\]
C) \[\left( -5,\frac{3}{2} \right)\]
D) \[(0,0)\]
Correct Answer: D
Solution :
Let, \[\Delta AOB\] is the given triangle Slope of \[AB=\frac{\frac{3}{2}-0}{0+5}=\frac{3}{10}\] Slope of \[BO=\frac{0-0}{0+5}=0\] The equation of line passing through A and perpendicular to BO is \[y-0=-0\left( x-\frac{3}{2} \right)\] \[\Rightarrow \] \[y=0\] ?..(i) and equation of line passing through 0 and perpendicular to AB is \[y-0=-\frac{10}{3}(x-0)\] \[\Rightarrow \] \[y=-\frac{10}{3}x\] ?..(ii) The intersection point of Eqs. (i) and (ii) is \[(0,0)\] which is the required orthocentre.You need to login to perform this action.
You will be redirected in
3 sec