AP EAPCET 08-Jul-2022 Shift 1 Paper

Let coordinate of A(3,4),B(0,0) and C(4,0).

Let O be the orthocenter of ΔABC.
Slope of BC=0
BC is on X - axis.
⇒ AD is parallel to Y - axis
Equation of AD:x=3....(i)
Slope of AC=

4−0

3−4

=−4
Slope of BE=

1

4

Equation of BE:y−0=

1

4

(x−0)
⇒ 4y=x
Solving eqs. (i) and (ii) we get
x=3,y=

3

4

∴ Coordinate of orthocenter is (3,

3

4

).