Question

coordinates of A are (-6,8) and those of B are (0, 3). Find a if AB=13.​

Answer 1

Answer:

-3

Step-by-step explanation:

GivenA(6,−1),B(1,3) and C(k,8)

Using distance formula

AB2=BC2

⇒(6−1)2+(−1−3)2=(k−1)2+(8−3)2

⇒25+16=k2+1−2k+25

⇒k2−2k−15=0

⇒k2−5k+3k−15=0

⇒k(k−5)+3(k−5)=0

⇒(k−5)(k+3)=0

k−5=0⇒k=5

k+3=0⇒k=−3