Question

A line segment is of the length $15$ units and one end is at the point $(3,2),$ if the abscissa of the other end is $15,$ then find possible ordinates.

• A. $11,-7$
• B. $-11,7$
• C. $2,-9$
• D. $-2,9$

Answer 1

The correct option is A $11,-7$

Let ordinate of other end be $y,$ then

Using distance formula,
$15=\sqrt{{(15-3)}^2+{(y-2)}^2}\Rightarrow 225=144+y^2+4-4y\Rightarrow y=-7,11.$