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Find the equation of the chord of contact (polar) of the point (1, 2) with respect to the circle x² + y² + 2x + 3y + 1 = 0.
- 4x + 7y + 10 = 0
- 4x + 7y - 10 = 0
- 2x + 3y + 5 = 0
- 4x + 7y + 5 = 0
Correct answer: 4x + 7y + 10 = 0
Solution
Substituting into T = 0 gives 2x + 7y/2 + 5 = 0, which on clearing the fraction becomes 4x + 7y + 10 = 0.
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