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Find the coordinates of the points 'P' and 'Q' which trisect the line joining '(2,-3)' and '(4,-1)'

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V PUBLICATION-GEOMETRY AND ALGEBRA-QUESTION BANK
  1. The coordinates of the vertices of a triangle are(-1,5),(3,7),(1,1).Fi...

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  2. Calculate the coordinates of the point P in the picture.

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  3. Find the coordinates of the points 'P' and 'Q' which trisect the line ...

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  4. Prove that A(6,4),B(5,-2),C(7,-2) is an isosceles triangle. If D is ...

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  5. Find the coordinates of the point which divides the line joining '(4,-...

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  6. In Delta ABC A(6,8),B(3,4),C(-2,2) are its vertices. The bisector of /...

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  7. Prove that the points '(1,3),(2,5)' '(3,7)' are on the same line.

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  8. Find the coordinates of two more points on the line joining '(-1,4)' a...

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  9. x1, x2 , x3 and y1, y2, y3 …….. are arithmetic sequences. Prove that a...

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  10. Prove that if the points (x1, y1),(x2, y2), (x3, y3) are on a single l...

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  11. Find the equation of the line joining (1,2) and (2,4), For points on t...

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  12. Find the equation of the line joining (-1,3) and (2,5).Prove that if t...

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  13. Prove that whatever number we take as x,the point (x,2x+3) is a point ...

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  14. In the picture below, the x coordinate of a point on the slanted (blue...

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  15. In the picture here, 'ABCD' 'is a square. Prove that for any point on ...

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  16. Prove that for any point on the line intersecting the axes in the pict...

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  17. Find the equation of the circle with centre at the origin and radius '...

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  18. Prove that if '(x, y)' be a point on the circle with the line joining ...

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  19. What is the equation of the circle shown below? '(##VPUTTTMATXP02C09E0...

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  20. What are the coordinates of the centroid of the triangle with vertices...

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