Question

If the co-ordinate of centere of any circle are $(3,4)$ and the co-ordinate of one ends of its diameter are $(5,3)$ then coordinate of other ends of diameter are -

• A. $(4,1)$
• B. $(1,4)$
• C. $(1,5)$
• D. $(5,1)$

Answer 1

Answer: (C)

$(1,5)$

Given coordinates of centre of circle $(3,4)$ and one diameter is $(5,3)$.

Let the coordinates of other end of diameter be $(x,g)$

We know centre is the mid point of diameter points

$3=\frac{x+5}{2}4=\frac{y+3}{2}$

$(x,y)=(1,5)$