Question

5. If P (a/3, 6/2) is the midpoint of the line segment joining A (4, - 3) and
B (2.-4) then (a, b) is​

Answer 1

Correct question :-

If P (a/3, b/2) is the midpoint of the line segment joining A (4, - 3) and B (2.-4) then (a, b) is ?

Solution :-

If point p is midpoint of line AB ( where coordinates of point A is (4, - 3) and B is (2,-4) ) then co-ordinates of point P can be written as :-

$\rm \implies \bigg ( \dfrac{4 + 2}{2} \: , \dfrac{ - 3 - 4}{2} \bigg)$

$\rm \implies \bigg ( \dfrac{6}{2} \: , \dfrac{ - 7}{2} \bigg)$

$\rm \implies \bigg ( 3 \: , \dfrac{ - 7}{2} \bigg)$

co-ordinates of point P = (3, -7/2 )

But in the question coordinates are given as = (a/3, b/2)

=> (3, -7/2 ) = ( a/3, b/2)

Therefore , 3 = a/3 and -7/2 = b/2

=> a/3 = 3

=> a = 3×3

=> a = 9

=> b/2 = -7/2

=> b = (-7/2 ) × 2

=> b = -7

Answer :

• (a, b) = (9, -7 )