In $\triangle A B C$, if $\mathrm{A}$ is $(1,2), \mathrm{B}$ and $\mathrm{C}$ lie on…

In $\triangle A B C$, if $\mathrm{A}$ is $(1,2), \mathrm{B}$ and $\mathrm{C}$ lie on $\mathrm{y}=\mathrm{x}+\alpha$ (where $\alpha$ is variable), then the locus of the orthocenter of the triangle is
  1. $x+y-3=0$
  2. $x+y+3=0$
  3. $y=x+1$
  4. $y=x-1$

Solution

Slope of $\mathrm{Bc} \times$ Slop of $\mathrm{AD}=-1$ $1 \times$ slope of $\mathrm{AD}=-1$

Asked in: AP EAMCET 2022 (08 Jul Shift 1)

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