Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The length of the chord 
intercepted by the parabola y 2 = 4 (x - 1) is equal to
A
units
B
units
C
units
D
units
Text Solution
Verified by ExpertsThe correct answer is:
C
units
Focus of y 2 = 4 (x - 1) is (2,0) which satisfies the equation y = 
x - 2 
.
Hence, line y = 
x - 
3 is a focal chord.
Now, the length of the focal chord equals to 4a cosec 2 0 where a = 1 and tan 
= 
(or 
= 60°)
length of chord = 4 x (cosec 2 60°)
units
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