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P ,\ Q\ a n d\ R are, respectively, the ...

`P ,\ Q\ a n d\ R` are, respectively, the mid points of sides `B C ,\ C A\ a n d\ A B` of a triangle `A B C` and AD is the perpendicular from vertex A to BC,then prove that the points P,Q,R and D are cyclic.

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RD SHARMA ENGLISH-QUADRILATERALS-All Questions
  1. Let A B C be an isosceles triangle with A B=A C and let D ,\ E ,\ F ...

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  2. A B C is a triangle right angled at B ; a n d\ P is the mid-point o...

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  3. P ,\ Q\ a n d\ R are, respectively, the mid points of sides B C ,\ C...

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  4. In Figure, A D\ a n d\ B E are medians of A B C\ a n d\ B E||D F . Pr...

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  5. In A B C ,A D is the median through A and E is the mid-point of A D ....

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  6. In a A B C , find the measures of the angles of the triangle formed b...

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  7. In Figure, A D is the median and D E||A B . Prove that B E is the medi...

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  8. A B C D is a rhombus and P ,\ Q ,\ R ,\ S are the mid-points of A B ,\...

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  9. Show that the line segments joining the mid-points of the opposite s...

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  10. Show that the quadrilateral formed by joining the mid-points of the ...

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  11. A B C D is a rhombus and P ,\ Q ,\ R ,\ S are the mid-points of A B ,\...

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  12. The diagonals of a quadrilateral A B C D are perpendicular. Show that ...

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  13. Show that the quadrilateral, formed by joining the mid-points of the s...

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  14. In Figure, A B C D is a parallelogram. E\ a n d\ F are the mid-points ...

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  15. A B C D is a parallelogram. P is a point on A D such that A P=1/3\ A D...

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  16. P is the mid-point of side A B of a parallelogram A B C D . A line t...

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  17. In Figure, A B C D isa trapezium in which side A B is a parallel to si...

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  18. Prove that the line segment joining the mid-points of the diagonals of...

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  19. In /\ A B C ,\ D ,\ E\ a n d\ F are, respectively, the mid-points of...

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  20. In a triangle /a b c ,\ /A=50^0,\ /B=60^0a n d\ /C=70^0 . Find the mea...

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