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Show that the lines 3x-y+3=0 and x-3y-6=...

Show that the lines `3x-y+3=0` and `x-3y-6=0` cut the coordinate axes at concylic points. Show that the equation of the circle passing through these points is `x^(2)+y^(2)-5x-y-6=0`

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AAKASH SERIES-CIRCLES-ADDITIONAL SOLVED EXAMPLES
  1. Find the equation of the circle which passses through (2,0) and whose ...

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  2. Show that the lines 5x+3y-9=0,2x+y=0,x+3y=0 and x+4y+2=0 taken in orde...

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  3. Find the point of intersection of the circle x^(2)+y^(2)+4x+6y-39=0 an...

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  4. Find the area of the triangle formed by positive y-axis the normal and...

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  5. A square is inscribed in the circle x^(2)+y^(2)+2x+4y3=0. Its sides ar...

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  6. Show that the equation of the circle with centre at origin and passing...

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  7. If (m(i),1/(m(i))),m(i)gt0,i=1,2,3,4 are four distinct points on a cir...

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  8. A circle is incribed in an equilateral triangle of side a. Show that t...

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  9. If a circle C(1),x^(2)+y^(2)=16 intersects another circle C(2) of radi...

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  10. Consider a family of cirlces which are passing through the point (-1,1...

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  11. If PQ, PR are tangents from a point P(x(1),y(1)) to the circle x^(2)+y...

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  12. Show that the lines 3x-y+3=0 and x-3y-6=0 cut the coordinate axes at c...

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  13. A,B are conjugate points w.r.t circle having centre O radius r then OA...

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  14. If polars of A,B w.r.t to the circle having centre O and radius r inte...

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  15. Each side of DeltaABC is the polar of the opposite vertex with respect...

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  16. Two circles with radii r(1) and r(2), r(1)gtr(2)ge2 touch others exter...

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  17. The number of common tangents to the circles x^(2)+y^(2)-4x-2y+k =0 an...

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  18. Points (1,0) and (2,0) are taken on the axis of x. On the line joining...

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  19. In adjacent figure three circles each of radius 1 inscribed in an equi...

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  20. Find the equation of image circle of the circle x^(2)+y^(2)-2x=0 in th...

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