Let P(1, 2) and Q(-4, -8) be two points in a plane, Let A and B be two points on the line segment PQ such that PA = AB = BQ . Then the midpoint of AB is

Question

Let P(1, 2) and Q(-4, -8) be two points in a plane, Let A and B be two points on the line segment PQ such that PA = AB = BQ . Then the midpoint of AB is (A)  ((-3/2), 3)  (B)  ((-3/2), -3)  (C)  ((-5/2), -3)  (D)  ((-7/3), -3)

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/mathematics/b6445f37ea21debcd00541bc61423c1c-.png" /> Since PA = AB = BQ Then the mid point of AB is also the mid point of PQ ∴ (x, y)≡ ((1-4/2), (2-8/2)) ≡ ((-3/2), -3)

Q. Let $P (1, 2)$ and $Q (- 4, - 8)$ be two points in a plane, Let $A$ and $B$ be two points on the line segment $PQ$ such that $P A = A B = BQ$ . Then the midpoint of $A B$ is

$(\frac{- 3}{2}, 3)$

$(\frac{- 3}{2}, - 3)$

$(\frac{- 5}{2}, - 3)$

$(\frac{- 7}{3}, - 3)$

Since $P A = A B = BQ$
Then the mid point of $A B$ is also the mid point of $PQ$
$∴ (x, y) \equiv (\frac{1 - 4}{2}, \frac{2 - 8}{2}) \equiv (\frac{- 3}{2}, - 3)$

Q. Let P(1,2) and Q(−4,−8) be two points in a plane, Let A and B be two points on the line segment PQ such that PA=AB=BQ . Then the midpoint of AB is

(2−3​,3)

(2−3​,−3)

(2−5​,−3)

(3−7​,−3)