The length of the chord y = √3x-2√3 intercepted by the parabola y2= 4(x - 1) is
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The length of the chord y = √3x-2√3 intercepted by the parabola y2= 4(x - 1) is as follows:
Step-by-step explanation:
This is being given in the question i.e.
y = √3x-2√3--------(i)
Also, it is being stated that y2= 4(x - 1)------(ii)
Now,
Substituting the value of y in the equation (ii)
After substitution, we will get:
(√3x - 2√3) ^ 2 = 4x - 4
Or 3x ^ 2 + 12 - 12x = 4x - 4
Or 3x ^ 2 - 16x + 16 = 0
Or (x-12)(x-4) = 0
Hence x = (4,12)
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