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A is a point on the circle x^(2)+y^(2)=3...

A is a point on the circle `x^(2)+y^(2)=36`. Find the locus of the point P which divides the ordinate `bar (AN)` internally in the ratio `2:1`.

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`x^(2)+9y^(2)=36`
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CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-COORDINATE GEOMETRY (TWO DIMENSIONAL COORDINATE GEOMETRY)
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  2. The ends A and B of a rod AB of length 8 unit slide along the lines y=...

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

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

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

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

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

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

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

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

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

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  12. 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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  13. Show that the locus of the point of intersection of the stright lines ...

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

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

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

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

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  18. Show that the lines x cos alpha+ y alpha=p, x cos (alpha+ (2pi)/(3)) +...

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  19. 2x-y+4=0 is a diameter of a circle which circumscribes a rectangle ABC...

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  20. ABC is right-angle triangle, right -angled at A. The coordinates of B ...

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