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Let X be any point on side BC of DeltaAB...

Let X be any point on side BC of `DeltaABC` seg XM || side AB and seg XN ||side CA . M - N- T , T - B - X . Prove that : `TX^(2)=TB.TC.`

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Let X be any point on side BC of DeltaABC, XM and XN are drawn parallel to BA and CA. MN meets in T. Prove that TX^(2)=TB.TC.

D is a point on side BC of DeltaABC such that , angleADC=angleBAC . Show that AC^(2)= BCxxDC .

E is a point on side CB,C-B-E, "In" DeltaABC,AB=AC. "If seg " AD,BC,B-D-Cand "seg"EFbot"side" AC,A-F-C."Prove that " DeltaABD~DeltaECF.

Delta PQR is an "equilateral triangle", "seg" PM bot side QR, Q -M- R "Prove that" : PQ^(2) = 4QM^(2)

Delta DEF is an "equilateral triangle"."Seg" DP bot side EF. E- P - F. "Prove that" : DP^(2) = 3EF^(2)

In the adjoining figure, seg AD bot side BC, seg BE bot side AC, segCf bot side AB . Point O is the orthocentre. Prove that, point O is the incentre of DeltaDEF

In the figure , in DeltaABC , point D on side BC is such that , DeltaBAC~=DeltaADC then prove that , CA^(2)-=CBxxCD .

The perpendicular from A on side BC at a Delta ABC intersects BC at D such that DB=3 CD. Prove that 2 AB^(2)=2AC^(2)+BC^(2)

In adjoining figure, seg AD bot side BC, B-D-C. Prove that AB^(2) + CD^(2) = BD^(2) + AC^(2)

In the adjoining figure, seg BD bot "side" AC, C-D-A. "Prove that" : AB^(2) = BC^(2) + AC^(2) - BC.AC

CHETAN PUBLICATION-SIMILARITY -PROBLEMS FOR PRACTICE
  1. Point D and E are the points on sides AB and AC such athat AB = 5.6 , ...

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  2. In DeltaPQR , ray QS bisects of anglePQR.P-S-R. Show that (A(DeltaP...

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  3. In the adjoining figure , seg PQ || AB. Seg PR || seg BD. Prove that ...

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  4. In the adjoining figure , "seg " PA , "seg " QB , "seg " , RC and "s...

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  5. A vertical pole of a length 6 m casts a shadow of 4 m long on the grou...

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  6. In DeltaABC,AB=5,BC=6,AC=7.DeltaPQR~DeltaABC. "Perimeter of" DeltaPQR"...

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  7. In DeltaABC,angleB=90^(@),"seg "DEbot"side " AC. AD=6,AB=12, AC=18, ...

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  8. E is a point on side CB,C-B-E, "In" DeltaABC,AB=AC. "If seg " AD,BC,B...

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  9. D is a point on side BC of DeltaABC such that , angleADC=angleBAC. S...

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  10. In DeltaRES,RE=15,SE=10."In" DeltaPEA,PE=8,AE=12."Prove that" DeltaRES...

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  11. In the adjoining figure "seg "Cebot" side " AB, " seg" AD bot" side " ...

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  12. In the adjoining figure , if DeltaABN~=DeltaACM " show that" DeltaAM...

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  13. Let X be any point on side BC of DeltaABC seg XM || side AB and seg XN...

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  14. In the adjoining figure , seg AB || side DC , OD = x OB = x -3 , OC =...

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  15. DeltaDEF~DeltaMNK If DE = 5 and MN = 6 , then find the value of A (De...

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  16. If DeltaABC~DeltaDEF such that the area of DeltaABC"is" 9 "cm" ^(2) "...

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  17. In the adjoining figure, seg DE|| side BC . If DE : BC =3: 5 , then fi...

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  18. In DeltaABC , PQ is a line segment intesecting AB at point P and AC at...

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  19. In DeltaABC , angleABC=90^(@). DeltaPAB, DeltaQACandDeltaRBC are the e...

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  20. In DeltaABC , seg DE|| side BC. If 2A (DeltaADE)=A(squareDBCE). Sho...

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