Question

Point P(2,3) lines on the $4x+3y=17$. Then find the co-ordinated of points farthest from the line which are at 5 units distance from the P.

• A. $(6,6)$
• B. $(6,-6)$
• C. $(2,0)$
• D. $(-2,0)$

Answer 1

The correct option is A $(6,6)$

Let point $(x,y)$ from the line.

$|\frac{4x+3y-17}{\sqrt{4^2+3^2}}=5|$

$\Rightarrow 4x+3y-17=\pm 25$

but given point Only $\left(A\right)$ option is satisfying line.

So, Answer should be $\left(A\right)$.