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Question

Tangents are drawn to x2+y2=1 from any arbitrary point P on the line 2x+y4=0. The corresponding chord of contact passes through a fixed point whose coordinates are


Your Answer
A
(14,12)
Your Answer
B
(12,1)
Correct Answer
C
(12,14)
Your Answer
D
(1,12)

Solution

The correct option is C (12,14)
Let P(a,42a) be any point on 2x+y=4
Equation of chord of contact drawn from P is 
T=0xa+y.(42a)=1
(4y1)+a(x2y)=0
the above equation represents family of lines which passes through intersection points of y=1/4 and x=2y

So, the required point is (12,14)

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