Show that the equation of the circle passing through (1, 1) and thepoints of intersection of the circles `x^2+y^2+13 x-13 y=0`and `2x^2+2y^2+4x-7y-25=0`is `4x^2+4y^2+30 x-13 y-25=0.`A. `4x^(2)+4y^(2)-30x-10y=25`B. `4x^(2)+4y^(2)+30x-13y-25=0`C. `4x^(2)+4y^(2)+17x-10y-25=0`D. None of the above

Show that the equation of the circle passing through (1, 1) and thepoi

1.	Show that the equation of the circle passing through (1, 1) and thepoints of intersection of the circles `x^2+y^2+13 x-13 y=0`and `2x^2+2y^2+4x-7y-25=0`is `4x^2+4y^2+30 x-13 y-25=0.`A. `4x^(2)+4y^(2)-30x-10y=25`B. `4x^(2)+4y^(2)+30x-13y-25=0`C. `4x^(2)+4y^(2)+17x-10y-25=0`D. None of the above
Answer» Correct Answer - B The required equation of circle is `(x^(2)+y^(2)+13x-3y)+lambda(11x+(1)/(2)y+(25)/(2))=0" "...(i)` Its passing through (1, 1), `rArr 12 + lambda(24)=0` `rArr lambda = (1)/(2)` On putting in Eq. (i) , we get `x^(2)+y^(2)+13x-3y-(11)/(2)x-(1)/(4)y-(25)/(4)=0` `rArr 4x^(2)+4y^(2)+52x-12y-22x-y-25=0` `rArr 4x^(2)+4y^(2)+30x-13y-25=0`

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Show that the equation of the circle passing through (1, 1) and thepoints of intersection of the circles `x^2+y^2+13 x-13 y=0`and `2x^2+2y^2+4x-7y-25=0`is `4x^2+4y^2+30 x-13 y-25=0.`A. `4x^(2)+4y^(2)-30x-10y=25`B. `4x^(2)+4y^(2)+30x-13y-25=0`C. `4x^(2)+4y^(2)+17x-10y-25=0`D. None of the above

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