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D is a point on the side BC of DeltaABC....

`D` is a point on the side `BC` of `DeltaABC`. If `/_ADC=/_BAC`, then prove that `CA^(2)=CBxxCD`.

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CALCUTTA BOOK HOUSE-SIMILARITY-Exercise 5.2
  1. Write the following sentences true or false: Any two identical image a...

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  2. C and B are two points on the straight line XY, P is an external point...

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  3. In DeltaPQR, a straight line parallel to QR intersects PQ and PR at th...

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  4. Fill the blank :All (equilateral/isosceles) triangle are always ident...

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  5. state true or false; Two equiangular triangles are always congruent.

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  6. state true or false; If the two sides of two triangles are in proport...

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  7. If the areas of two similar triangles be equal, they are .

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  8. The ratio of the areas of two similar triangels is equal to the of the...

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  9. Prove that the perimeters of two similar triangles are proportional to...

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  10. AD is a perpendiuclar drawn from the vertex A of the right-angled tria...

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  11. Fill the blank :All circles are(uniform/identical)

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  12. Fill the blank :All square are(uniform/identical)

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  13. Write the following sentences true or false: Any two identical figure ...

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  14. The diagonals of the quadrilateral ABCD intersect each other at O in s...

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  15. In the figure beside is a point on the extended part of CB.DeltaABC is...

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  16. D is a point on the side BC of DeltaABC. If /ADC=/BAC, then prove that...

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  17. If AD and PM be two medians of DeltaABC and DeltaPQR respectively, whe...

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  18. In the figure beside , (QR)/(QS)=(QT)/(PR) and /1=/2. Prove that Delta...

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  19. In the adjoining figure , /B and /M of the right angled triangles Delt...

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  20. CD and GH are the bisectors of /ACB and /EGF respectively. If D lies o...

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