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Find the equation to the circle described on the common chord of the given circles `x^2 + y^2 = 4x + 5` and `x^2 + y^2 + 8x + 7 = 0` as diameter.

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Find the equation to the circle described on the common chord of the given circles x^(2) + y^(2) - 4x - 5 = 0 and x^(2) + y^(2) + 8x + 7 = 0 as diameter.

Find the equation of the circle described on the common chord of the circles x^2+y^2-4x-5=0 and x^2+y^2+8x+7=0 as diameter.

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Find the equation of the common chord of the two circles x^(2) + y^(2) - 4x - 2y - 31 = 0 and 2x^(2) + 2y^(2) - 6x + 8y - 35 = 0 and show that this chord is perpendicular to the line joining the two centres.

The length of the common chord of the two circles x^2+y^2-4y=0 and x^2+y^2-8x-4y+11=0 is

Find the equations of the tangents drawn from the point A(3, 2) to the circle x^2 + y^2 + 4x + 6y + 8 = 0

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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 15-EXERCISE
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  8. Prove that sqrt2 irrational, (use the method of contradiction).

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