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CGP EDU Academic Team
Published on: August 13, 2026
A triangle ABC with a = 8, b = 6 and c = 10 slides on the coordinate axes with vertices A and B on the x − − axis and the y − − axis respectively. Find the locus of the vertex C.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
Since c 2 = a 2 + b 2 ,
Δ Δ ABC is right angled at C
⇒ ⇒ OACB is a cyclic quadrilateral.
⇒ ⇒ ∠ ∠ COB = ∠ ∠ BAC
In Δ Δ ABC,
cos A = 
⇒ ⇒ cos ( Δ Δ COB) = 
⇒ ⇒ sin ( ∠ ∠ COA) = 
⇒ ⇒ tan ( ∠ ∠ COA) = 
⇒ ⇒ ∠ ∠ COA is fixed ⇒ ⇒ vertex C lies on the line 
or 3x − − 4y = 0.
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