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Distance between Points Lying Parallel to X & Y Coordinates

A line inters...

Question

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

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Solution

A line intersects the y axis, then the coordinates of P are (0, y) and x axis then the coordinates are Q(x, 0).
Therefore by section formula,
$(\frac{x + 0}{2}, \frac{0 + y}{2}) = (2, - 5) \Rightarrow (\frac{x}{2}, \frac{y}{2}) = (2, - 5) \Rightarrow \frac{x}{2} = 2, \frac{y}{2} = - 5 \Rightarrow x = 4, y = - 10$

Hence the coordinates of P are (0, −10) and that of Q are (4, 0).

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Q. Question 17
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.
(A) (0, – 5) and (2, 0)
(B) (0, 10) and (– 4, 0)
(C) (0, 4) and (– 10, 0)
(D) (0, – 10) and (4, 0)

Q. A line intersects the y-axis and x-axis at the points P and Q, respectively. If (2, −5) is the midpoint of PQ, then the coordinates of P and Q, respectively, are

(a) (0, −5) and (2, 0)
(b) (0, −10) and (4, 0)
(c) (0, 10) and (−4, 0)
(d) (0, 4) and (−10, 0)

Q. A line intersects the

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Q

respectively. If

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is the mid-point of

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Q

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Q. A line intersects the y-axis at the points

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Q

(2, - 5)

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