Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The length of segment of all tangents to curve x 2/3 + y 2/3 = a 2/3 intercepted between coordinate axes is
A
2|a|
B
|a|
C
D
Text Solution
Verified by ExpertsThe correct answer is:
B
Here x 2/3 + y 2/3 = a 2/3
Differentiating w.r.t. to x 
Equation (y – k) = – 
(x – h)
P(0, k 1/3 (h 2/3 + k 2/3 )) or P(0, a 2/3 k 1/3 )
And, Q (h 1/3 a 2/3 , 0)
PQ = 
= |a| = constant.
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