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CGP EDU Academic Team
Published on: August 14, 2026
A(1, 3) and C(7, 5) are two opposite vertices of a square. The equation of a side through A is
Text Solution
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(a, d)
Let slope of m 1 = 
& slope of AB = m
∴ ∠ CAB = 45° in square
use tan45° = 
1 = 
⇒ 1= 
⇒ 3 + m = ± (1 – 3m) take positive sign
4m = – 2 = m = 
Take negative sign m = 2. Now write the line
(a, d)
Let slope of m 1 = 
& slope of AB = m
∴ ∠ CAB = 45° in square
use tan45° = 
1 = 
⇒ 1= 
⇒ 3 + m = ± (1 – 3m) take positive sign
4m = – 2 = m = 
Take negative sign m = 2. Now write the line
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