Question

the distance between the point (4, k) and (1,0) is 5, then what can be the possible value of k

Answer 1

Hope this ans helps u!!!

Answer 2

Hello,
Let the points X (4,k) and Y(1,0)
It is given that the distance XY is 5 units.
By using the distance formula,
$XY= \sqrt{(4-1) ^{2}+(k-0) ^{2} }$;
$5= \sqrt{(3) ^{2}+(k) ^{2} }$;
$5= \sqrt{(3) ^{2}+(k) ^{2} }$;
$5= \sqrt{9+k^{2} }$;
25=9+k²;
k²=25-9;
k²=16;
k=±4

bye :-)