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In Figure, P Q R S is a quadrilateral in...

In Figure, `P Q R S` is a quadrilateral in which diagonals `P R\ a n d\ Q S` intersect in `O`. Show that :
(i) `P Q+Q R+R S+S P > P R+Q S`
(ii) `P Q+Q R+R S+S P<2(P R+Q S)`

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RD SHARMA ENGLISH-CONGRUENT TRIANGLE -All Questions
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  2. In Figure, P Q R S is a quadrilateral. P Q is its longest side and R...

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  3. In Figure, P Q R S is a quadrilateral in which diagonals P R\ a n d\...

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  8. In Figure, A B\ a n d\ C D are respectively the smallest and longes...

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  9. In A B C , if /A=40^0a n d\ /B=60^0dot Determine the longest and s...

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  10. In a A B C , if /B=/C=45^0, which is the longest side?

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  11. In A B C , side A B is produced to D so that B D=B Cdot If /B=60^0\ a...

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  13. In A B C ,\ /B=35^0,/C=65^0 and the bisector of /B A C meets B C in P...

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  14. O is any point in the interior of A B Cdot Prove that A B+A C > O...

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  15. Prove that the perimeter of a triangle is greater than the sum of i...

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  16. Prove that in a quadrilateral the sum of all the sides is greater t...

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  17. In Figure, prove that C D+D A+A B+B C >2A C

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  20. In two congruent triangles A B C\ a n d\ D E F , if A B=D E\ a n d\...

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