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In Figure, A B C is a right triangle r...

In Figure, `A B C` is a right triangle right angled at `B` and `D` is the foot of the the perpendicular drawn from `B` on `A C` . If `D M_|_B C` and `D N_|_A B` , prove that: `(i) D M^2=D NxxM C ` ` (ii) D N^2=D MxxA N`

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RD SHARMA ENGLISH-TRIANGLES-All Questions
  1. In Figure, A B C D is a trapezium with AB||DC . If /\ A E D is simil...

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  2. If E is a point on side AD produced of a parallelogram ABCD and BE in...

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  3. In Figure, A B C is a right triangle right angled at B and D is the ...

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  4. In Figure, A D and B E are respectively perpendiculars to B C and A ...

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  5. In Fig. 4.124, E is a point on side C B produced of an isosceles...

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  6. In Fig. 4.125, F E C~= G B D and /1=/2 . Prove that A D E A ...

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  7. In Fig. 4.126, (O A)/(O C)=(O D)/(O B) . Prove that /A=/C and /B...

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  8. In Figure, D E F G is a square and /B A C=90 . Prove that (i) A G F...

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  9. In A B C ,\ \ D E is parallel to base B C , with D on A B and E on...

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  10. In Figure, if A D|B C and (B D)/(D A)=(D A)/(D C) , prove that A B ...

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  11. In Figure, if /\ A B E~= /\A C D , prove that /\ A D E ~ /\ A B C .

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  12. In Figure, /A C B=90dot and C D|A B . Prove that (C B^2)/(C A^2)=(B ...

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  13. In Figure, /\A C B ~ /\A P Q . If B C=8c m , P Q=4c m , B A=6. 5 c m a...

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  14. A vertical stick 10 cm long casts a shadow 8 cm long. At the same t...

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  15. In Figure, AB||QR . Find the length of P B .

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  16. In Fig. 4.138, X Y || B C . Find the length of X Y .

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  17. In a right angled triangle with sides a and b and hypotenuse c ,...

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  18. In Figure, /A B C=90^o and B D|A C . If B D=8c m , A D=4c m , find C D...

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  19. In Fig. 4.140, /A B C=90o and B D|A C . If A B=5. 7 c m , B D=3. 8\...

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  20. In Figure D E || B C such that AE = (1/4) AC If A B=6 cm, then 'f i ...

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