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If the distance between the points (4, p) and (1, 0) is 5, then the values of p are ______.

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Question

If the distance between the points (4, p) and (1, 0) is 5, then the values of p are ______.

Fill in the Blanks
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Solution

If the distance between the points (4, p) and (1, 0) is 5, then the values of p are ±4.

Explanation:

Distance = `sqrt((4 - 1)^2 + (p - 0)^2) = 5`

⇒ 9 + p2 = 25 

⇒ p2 = 16

⇒ p = ±4

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Chapter 6: Co-ordinate Geometry - FILL IN THE BLANK TYPE QUESTIONS (FBQs) [Page 6.47]

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R.D. Sharma Mathematics [English] Class 10
Chapter 6 Co-ordinate Geometry
FILL IN THE BLANK TYPE QUESTIONS (FBQs) | Q 9. | Page 6.47
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