12)_____A tangent to the ellipse \frac{x^{2}}{4}+\frac{y^{2}}{1}=1 cuts the circle x^{2}+y^{2}=4 at points A and B...C is any point on the circle x^{2}+y^{2}=4 such that A ,B and C are to the same side of x axis.....find the max area of \Delta ABC
1)___ let P be any moving point on the circle x2+y2-2x=1
AB be the chord of contact of this point wrt the circle x2+y2-2x=0.
find the locus of the circumcenter of the traingle CAB(C being the centre of circles)
P.S - give ans through a shorter method...some geometry involved i think
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6 Answers
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1oh i thought only A & B are in the same side of x-axis.
If the case is A, B & C are all on the same side of the x-axis, then then answer will be (1/2)(2√3)(2-1) = √3!! :D