P is the mid-point of AB and Q is the mid-point of AP. If the coordinates of A are (2, -4) and coordinates of Q are (1, -1), then the coordinates of B are:
(1, -1)
(-1, 6)
(-2, 6)
(-2, 8)
Section Formula
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Question

P is the mid-point of AB and Q is the mid-point of AP. If the coordinates of A are (2, -4) and coordinates of Q are (1, -1), then the coordinates of B are: 1. (1, -1) 2. (-1, 6) 3. (-2, 6) 4. (-2, 8)

KnowledgeBoat · Accepted Answer

Given, Coordinates of A = (2, -4) and Q = (1, -1) Let the coordinates of B be (a, b). Given that Q is the mid-point of AP and P is the mid-point of AB. By mid-point formula, (x, y) = Let point P be (p,q) Since Q is the mid-point of AP, we have Hence, the coordinates of P are (0, 2). Now, since P is the mid-point of AB. We have, Therefore, the coordinates of B are (-2, 8). Hence, Option 4 is the correct option.

Mathematics

P is the mid-point of AB and Q is the mid-point of AP. If the coordinates of A are (2, -4) and coordinates of Q are (1, -1), then the coordinates of B are:
(1, -1)
(-1, 6)
(-2, 6)
(-2, 8)

Section Formula

Related Questions

If the line segment joining the points P and Q(3, -4) is bisected at the origin, then the coordinates of P are:
(3, -2)
(3, -4)
(-3, -4)
(-3, 4)

A line intersects the y-axis and x-axis at the points P and Q respectively. If (2, -5) is the mid-point of PQ, then the coordinates of P and Q are respectively:
(0, 10) and (-4, 0)
(0, -5) and (2, 0)
(0, 4) and (-10, 0)
(0, -10) and (4, 0)

The points A, B and C divide the line segment joining the points P(-3, 8) and Q(9, -4) into four equal parts. If A is nearest to P, then the coordinates of A are:
(-3, 5)
(0, 5)
(3, 5)
(6, -1)

Mathematics

P is the mid-point of AB and Q is the mid-point of AP. If the coordinates of A are (2, -4) and coordinates of Q are (1, -1), then the coordinates of B are:(1, -1)(-1, 6)(-2, 6)(-2, 8)

Section Formula

Related Questions

If the line segment joining the points P and Q(3, -4) is bisected at the origin, then the coordinates of P are:(3, -2)(3, -4)(-3, -4)(-3, 4)

A line intersects the y-axis and x-axis at the points P and Q respectively. If (2, -5) is the mid-point of PQ, then the coordinates of P and Q are respectively:(0, 10) and (-4, 0)(0, -5) and (2, 0)(0, 4) and (-10, 0)(0, -10) and (4, 0)

The points A, B and C divide the line segment joining the points P(-3, 8) and Q(9, -4) into four equal parts. If A is nearest to P, then the coordinates of A are:(-3, 5)(0, 5)(3, 5)(6, -1)

P is the mid-point of AB and Q is the mid-point of AP. If the coordinates of A are (2, -4) and coordinates of Q are (1, -1), then the coordinates of B are:
(1, -1)
(-1, 6)
(-2, 6)
(-2, 8)

If the line segment joining the points P and Q(3, -4) is bisected at the origin, then the coordinates of P are:
(3, -2)
(3, -4)
(-3, -4)
(-3, 4)

A line intersects the y-axis and x-axis at the points P and Q respectively. If (2, -5) is the mid-point of PQ, then the coordinates of P and Q are respectively:
(0, 10) and (-4, 0)
(0, -5) and (2, 0)
(0, 4) and (-10, 0)
(0, -10) and (4, 0)

The points A, B and C divide the line segment joining the points P(-3, 8) and Q(9, -4) into four equal parts. If A is nearest to P, then the coordinates of A are:
(-3, 5)
(0, 5)
(3, 5)
(6, -1)