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Co - ordinate Geometry Circles

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If the lines x+y=6 and x+2y=4 be diameters of the circle whose diameter is 20, then the equation of the circle is

A. x + y - 16x + 4y - 32 = 0

B. x + y - 16x + 4y + 32 = 0

C. x + y + 16x + 4y - 32 = 0

D. x + y - 16x - 4y - 32 = 0

E. None of the above

View Answer

Correct choice: A

Explanation:

Here r = 10 (radius)
Centre will be the point of intersection of the diameters, i.e. (8, –2). Hence required equation is
(x-8)²+ (y+2)² = 10² ⇒ x2+y2 - 16x+4y-32=0.

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Eamcet Mathematics Co - ordinate Geometry Circles

Eamcet Mathematics
Co - ordinate Geometry Circles