Question

if distance between two points (2,-3) and (5,a) then find the value of a.​

Answer 1

a = 1

Explanation :

Let the two points be A(2,−3) and B(5, a)

∣ A − B ∣ = 5

⟹ ∣ A − B ∣² =25

⟹ ( 2 − 5 )² +( −3 −a)² =25

⟹ 9 + 9 + 6a + a² = 25

⟹ a² + 6a − 7 = 0

⟹ a²+ 7a − a−7 = 0

⟹ ( a + 7 ) ( a − 1 ) = 0

⟹ a = −7 or a = 1

But distance can't be negative

Hence a = 1