if a,b is the midpoint of the linesegment joining the points a(10,_6) and b(k,4) and a_2b=18 the value of kis
Answers
Solution :-
we know that, mid points of (a,b) and (c,d) is equal to :-
- x = (a + c)/2
- y = (b + d)/2
given that, (a, b) is midpoint of the line segment joining the points (10, -6) and (k, 4) .
So,
→ a = (10 + k)/2
→ b = (-6 + 4)/2 = (-2/2) = (-1)
also given that,
→ a - 2b = 18 ----- Eqn.(1)
putting both values of a and b in Eqn.(1),
→ [(10 + k)/2] - 2 * (-1) = 18
→ (10 + k)/2 = 18 - 2
→ (10 + k) = 16 * 2
→ k = 32 - 10
→ k = 22 (Ans.)
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