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The equation of two diameters of a circl...

The equation of two diameters of a circle of area 154 sq unit are `2x-3y=5 and 3x-4y=7`. Find the equation of the circle.

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The correct Answer is:
`x^(2)+y^(2)-2x+2y-47=0`
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CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-COORDINATE GEOMETRY (TWO DIMENSIONAL COORDINATE GEOMETRY)
  1. The eqution of the side BC,CA and AB of the triangle ABC are u(1)=a(1)...

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  2. A striaght line intersect x-axis at A(7,0) and y-axis at B(0,-5). The ...

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  3. The equation of two diameters of a circle of area 154 sq unit are 2x-3...

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  4. If the four points (m(i),(1)/(m(i))) where m(1) gt 0 (I,1,2,3,4) are c...

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  5. The ends A and B of a rod AB of length 8 unit slide along the lines y=...

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  6. A is a point on the circle x^(2)+y^(2)=36. Find the locus of the point...

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  7. The coordinates of the points A and B are (1,3) and (-2,1) respectivel...

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  8. Find the equation of the diagonals of the parallelogram formed by the ...

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  9. Show that the lines y=0, sqrt(3y)-xy=sqrt(3) and sqrt(3y)+x-10=0 form ...

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  10. Prove analytically that the perpendicular bisector of the sides of a t...

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  11. The coordinates of the vertex A of the triangle ABC are (-5,2) the equ...

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  12. The coordinates of the vertices of a triangle are [at(1)t(2),a(t(1)+t(...

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  13. Prove that diagonals of the parallelogram formed by the four straight ...

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  14. Find the locus of the foot of the perpendicular from the origin upon ...

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  15. Show that for all values of a,b and c the line (b-c)x+(c-a)y+a-b=0 alw...

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  16. Show that the locus of the point of intersection of the stright lines ...

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  17. Prove analytically that in any triangle the perpendiculars drawn from ...

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  18. Prove analytically that the bisectors of the interior angles of a tria...

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  19. If d(1),d(2),d(3) be the distances of a fixed point from the straight ...

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  20. Show that the quadrilateral formed by the four lines y=mx+a sqrt(a+m^(...

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