Question

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​

Answer 1

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.)

Learn more :-

prove that the mid point of the line joining points (-5,12) and (-1,12) is a point of trisection of the line joining the...

https://brainly.in/question/15118408

in what ratio is tge line joining the points (9, 2) and (-3, - 2 ) divided by the y axis? also find the coordinate of th...

https://brainly.in/question/15022879

find the equation of the straight line which passes through the point 4,3 and parallel to line 3x +4y=7

https://brainly.in/question/15527182