1.

Find the chord of contact of (0, 5) with respect to the circle x2 + y2 – 5x + 4y – 2 = 0

Answer»

Equation of the chord of contact is S1 = 0 

i.e., xx1 + yy1 + g(x + x1) + f(y + y1) + c = 0 

Equation of the circle is 

S = x2 + y2 – 5x + 4y – 2 = 0 

Equation of the chord of contact is 

x. 0 + y. 5 – 5/2 (x + 0) + 2(y + 5) – 2 = 0 

Multiplying with 2 

10y – 5x + 4y + 20 – 4 = 0 

– 5x + 14y + 16 = 0 

or 5x – 14y – 16 = 0



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