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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` and `Q S` intersect in `O` . Show that `P Q+Q R+R S+S P > P R+Q S` PQ+QR+RS+SP<2 (PR+QS) Figure

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RD SHARMA ENGLISH-CONGRUENT TRIANGLE -All Questions
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  2. Prove that in a quadrilateral the sum of all the sides is greater t...

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  3. In Figure, P Q R S is a quadrilateral in which diagonals P R and Q S i...

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  4. GIVEN : P Q R S is a quadrilateral. P Q is its longest side and R S ...

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  5. In Figure, A B and CD are respectively the smallest and longest side...

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  6. Of all the line segments drawn from a point P to a line m not containi...

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  7. In Figure, A D is a median and B L ,C M are perpendiculars drawn from ...

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  8. In Figure, B M and D N are both perpendiculars to the segments A C and...

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  9. If A B C is an isosceles triangle with A B=A C . Prove that the ...

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  10. If the altitudes from two vertices of a triangle to the opposite si...

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  11. A D and B C are equal perpendiculars to a line segment A B . Show that...

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  12. In A B C ,A B=A C , and the bisectors of angles B and C intersec...

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  13. In Figure, it is given that A B=E F ,B C=D E ,A B|B D and F E|C Edot P...

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  14. In Figure, it is given that A B=B C and A D=E C . Prove that A B E~=C ...

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  15. In Figure, l II m and M is the mid-point of the line segment A Bdot P...

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  16. In Figure, line l is the bisector of angle A and B is any point on l ....

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  17. In Figure, O is the mid point of A B and C D . Prove that (i) A O C~...

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  18. Prove that measure of each angle of an equilateral triangle is 60^0...

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  19. In Figure, it is given that A E=A D and B D=C Edot Prove that triangl...

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  20. In Figure, it is given that A B=C F ,E F=B D and /A F E=/C B Ddot Prov...

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