Question

Find the values of a if the distance between (a, -1) and (4, 1) is √13

Answer 1

Answer:

a=1 or 7

Step-by-step explanation:

the given coordinates are (a,-1) and (4,1)

by distance formula,

√(a-4)^2+(-1-1)^2 =√13

squaring both sides we have

(a-4)^2+(-2)^2=13

a^2+16-8a+4=13

by solving the quadratic equation so formed

⇒a=1 or 7

hope this helps