has vertices at and . If the median through A is equally inclined to the axes, then the values of and respectively are
(A) 10,7
(B) 9,10
(C) 7,9
(D) 7,10

Correct option is

(D) 7,10

Direction ratios of are

i.e.

i.e.

Since the line is equally inclined to coordinate axes, its direction ratios are in ratio

Also,

Hence, the values of and are 7 and 10 respectively.