Question

If the distance blw (a, 2) and (3, 4) is 2root2. Find a​

Answer 1

Answer:

1 or 5

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Answer 2

Distance between the points (a,2) and (3,4) is:—

→ √[(3-a)²+(4-2)²]

→ √(9+a²-6a+4)

⇒√(a²-6a+13)=2√2 (given)=√8

⇒a²-6a+13=8

⇒a²-6a+5=0

⇒a²-5a-a+5=0

⇒a(a-5)-1(a-5)=0

⇒(a-1)(a-5)=0

⇒a=1 or a=5.