Question

If (a,b) is the mid point of the line segment joining the points A(10-6); B (k,4) and a-2 b=18 , find the value of a,b and k

Answer 1

Step-by-step explanation:

(a,b) is mid point of (10,6) and (k, 4).

Using mid point formula-

→ [ (10+k)/2 , (6+4)/2 ] = (a, b)

→ (10+k)/2 = a and 10/2 = b

→ 10+k =2a and 5 = b

In question, a - 2b = 18

→ a - 2(5)= 18

→ a = 28

So,

10+k = 2a

10 + k = 2(28)= 56

k = 46

Answer 2

Step-by-step explanation:

_____________________

Question :-

• If (a,b) is the mid point of the line segment joining the points A(10-6); B (k,4) and a-2 b=18 , find the value of a,b and

_____________________

Given :-

• the points A(10-6);
• B (k,4)
• a - 2 b = 18

_____________________

to find :-

• find the value of a,b and

_____________________

solution :-

a = 10 + k/ 2

a - 2b = 18

b = - b + 4/ 2 = - 2/2

b = - 1

10 + k/2 - 2( - 1 ) = 18

10 + k/2 + 2 = 18

10 + k = 16 × 2

10 + k = 32

k = 22

Ab = √ (22 - 10)² + ( 4 + 6 )²

= √ 12² + 10²

= √ 144 + 100

= √ 244

= 2√61

Hence the añswer is 2√61