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Equation of the circumcircle of a triang...

Equation of the circumcircle of a triangle formed by the lines `L_(1)=0,L_(2)=0andL_(3)=0` can be written as `L_(1)L_(2)+lamdaL_(2)L_(3)+muL_(3)L_(1)=0`, where `lamdaandmu` are such that coefficient of `x^(2)` =coefficient of `y^(2)` and coefficient of xy=0.
`L_(1)=0,L_(2)=0` be the distinct parallel lines which are not parallel to `L_(1)=0. The equation of a circle passing through the vertices of the parallelogram formed must be of the form

A

a curve passing through point of interesection of `L_(1)=0,L_(2)=0 andL_(3)=0`

B

a circle is coefficient of `x^(2)=` coefficient of `y^(2)` and coefficient of xy=0

C

a parabola

D

pair of straight lines

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A
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  13. Consider the two circles C(1):x^(2)+y^(2)=a^(2)andC(2):x^(2)+y^(2)=b^(...

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  14. Consider the two circles C(1):x^(2)+y^(2)=a^(2)andC(2):x^(2)+y^(2)=b^(...

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  16. Two variable chords AB and BC of a circle x^(2)+y^(2)=a^(2) are such t...

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