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)
Section Formula
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Question

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)

Section Formula

1 Like

KnowledgeBoat · Accepted Answer

Let P(0, a) be the point on y-axis and Q(b, 0) be the point on x-axis. Given, (2, -5) is the mid-point of PQ. By mid-point formula, (x, y) = Substituting values we get : P(0, -10) and Q(4, 0) Hence, Option 4 is the correct option.

Mathematics

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)

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)

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)

Mathematics

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)

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)

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)

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)

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)

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)