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If a line along a chord of the circle \(4 x^2+4 y^2+120 x+675=0\), passes through the point \((-30,0)\) and is tangent t…

Q1

If a line along a chord of the circle \(4 x^2+4 y^2+120 x+675=0\), passes through the point \((-30,0)\) and is tangent to the parabola \(y^2=30 x\), then the length of this chord is:

[JEE Main 2021, 26 Aug (Shift 1)]

a

7

b

5

c

\(5 \sqrt{3}\)

d

\(3 \sqrt{5}\)

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