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The Length of a Line Segment Joining a (2, −3) and B is 10 Units. If the Abscissa of B is 10 Units, Then Its Ordinates Can Be - Mathematics

MCQ

The length of a line segment joining A (2, −3) and B is 10 units. If the abscissa of B is 10 units, then its ordinates can be

Options

  • 3 or −9

  • −3 or 9

  • 6 or 27

  • −6 or −27

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Solution

It is given that distance between P (2,−3) and  Q ( 10 , y ) is 10.

In general, the distance between A`(x_1 ,y_1) " and " B (x_2 , y_2) ` is given by,

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

So,

`10^2 = (10 - 2)^2 +(y + 3)^2`

On further simplification,

`(y + 3)^2 = 36`

            ` y = -3+- 6`

                = -9 , 3

We will neglect the negative value. So,

y = -9 , 3

  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 37 | Page 65
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