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Questions  

Extremities of a diagonal of a rectangle are ( 0, 0) and ( 4, 3). The equations of the tangents to the circumcircle of the rectangle which are parallel to the diagonal, are

a
16x+8y±25=0
b
6x−8y±25=0
c
8x+6y±25=0
d
none of these

detailed solution

Correct option is B

The equation of the circumcircle of the rectangle is x(x−4)+y(y−3)=0⇒ x2+y2−4x−3y=0⇒(x−2)2+y−322=522The equations of the tangents to this circle which are parallel to the diagonal joining (0, 0) and (4, 3) arey−32=34(x−2)±521+916             ∵ Slope of the tangent=3/4i.e. 6x−8y+25=0

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