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# Given the two lines y = 2x + 5 and y = 2x - 10, what is the

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Re: Given the two lines y = 2x + 5 and y = 2x - 10, what is the [#permalink]

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07 Jan 2018, 07:39
BrushMyQuant wrote:
Given the two lines y = 2x + 5 and y = 2x - 10, what is the area of the largest circle that can be inscribed such that it is tangent to both lines

Diameter of the circle will be equal to the distance between these two parallel tangents.

Distance between parallel lines is given by the formula
d = |C1–C2|/√(A^2+B^2)

Here C1 = 5, C2=-10
A = 2
B = -1

So d = |5–(-10)|/√(2^2+(-1)^2)
=> d = 3√5

So area = (pie d^2)/4
= pie * (3√5(^2) )/ 4
= 45 pie /4

Hope it helps!

Could you please tell how to find A=2 and B=-1?
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Re: Given the two lines y = 2x + 5 and y = 2x - 10, what is the   [#permalink] 07 Jan 2018, 07:39
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