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If the Distance Between the Points (4, P) and (1, 0) is 5, Then P = - Mathematics

MCQ

If the distance between the points (4, p) and (1, 0) is 5, then p = 

Options

  • ± 4

  •  4

  •  −4

  •  0

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Solution

It is given that distance between P (4, p) and Q(1, 0)  is 5.

In general, the distance between A(x1,y1)  and B(x2 , y2) is given by,

`AB^2 = (x_2-x_1)^2 + (y_2-y_1)^2`

So,

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

On further simplification,

`p^2 = 16`

   `p = +-4`

So,

   `p = +-4`

 

  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Class 10 Maths
Chapter 6 Co-Ordinate Geometry
Q 5 | Page 63
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