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Subject - Mathematics:

Coordinate Geometry

MCQ - 461-9193

Question:

If the distance between the point A(4, p) and B(1, 0) is 5 then

  1. p = 4 only
  2. p = -4 only
  3. p = ± 4
  4. p = -4 only

Correct Answer: C

Explanation:

The distance between any two points P1(x1, y1) and P2(x2, y2) is given by the following formula:

9 -75936904
⇒ From the question we have,
⇒ A = (4, p)
⇒ B = (1, 0)
⇒ d = 5
⇒
10 -11647314

⇒ Squaring both sides
⇒ 25 = (-3)2 + p2
⇒ 25 = 9 + p2
⇒ p2 = 25 – 9
⇒ p2 = 16
⇒ p = ±4
Therefore the value of p is ±4.

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Read the MCQ statement: If the distance between the point A(4, p) and B(1, 0) is 5 then , keenly and apply the method you have learn through the video lessons for Coordinate Geometry to give the answer. Record your answer and check its correct answer and video explanation for MCQ No. 461-9193.

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