A) \[\left( 3,\,\frac{5}{4} \right)\]
B) (3, 12)
C) \[\left( 3,\,\frac{3}{4} \right)\]
D) (3, 9)
Correct Answer: C
Solution :
\[BD\bot AC\]. Slope of \[BD=-\frac{3}{4}\] Equation of \[BD\], \[3x+4y-12=0;AE\,\bot \,BC\] .....(i) Slope of \[AE=\frac{1}{4}\] Equation of AE, \[x-4y=0\] .....(ii) From equation (i) and (ii), \[x=3,y=\frac{3}{4}\] \ orthocentre of the triangle is \[\left( 3,\frac{3}{4} \right)\]You need to login to perform this action.
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