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If a alpha b and b alpha c, show that a^...

If a `alpha b` and `b alpha c`, show that `a^3+b^3+c^3 alpha 5 abc`.

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UNITED BOOK HOUSE-GHORANASH HIGH SCHOOL -EXERCISE
  1. The area and perimeter of a rectangular park are 600 sq.m. and 100 m r...

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  2. If x= (sqrt7+sqrt3)/(sqrt7-sqrt3) and xy = 1, find the value of (x^2+3...

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  3. If a alpha b and b alpha c, show that a^3+b^3+c^3 alpha 5 abc.

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  4. If a,b,c are in continued proportion, then show that 1/b^2= 1/(b^2-a^2...

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  5. If a^2/(b+c)=b^2/(a+c)=c^2/(a+b)=1, then show that 1/(1+a)+1/(1+b)+1/(...

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  6. Prove that opposite angles of a cyclic quadrilateral are supplementary

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  7. State and prove Pythagoras theorem.

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  8. Prove that two equal chords are equidistant from the centre of the cir...

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  9. Two chords AB and AC of the larger of two concentrci circles touch the...

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  10. Draw a triangle having sides 6cm, 8 cm and 10 cm. Now draw the incircl...

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  11. Geometrically find the value of sqrt(35).

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  12. If (sin theta+ cos theta)/(sin theta-cos theta) = 5 then find the valu...

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  13. Solve: x tan 60^@cos^2 30^@ = (tan^2 45^@ sec 60^@)/(cosec 60^@)

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  14. শূন্যস্থান পূরণ করো : x = a cos (90^@ - theta),y = b cot (90^@- theta)...

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  15. From a point on the roof a house 11 metres height, it is observed that...

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  16. Answer any One question : The length of the shodow of a post becomes ...

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  17. The ratio of lengh, breadth of height of a solid cubiod is 4:3:2.If th...

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  18. Three spheres made of copper having the lengths of 3 cm. 4 cm and 5 cm...

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  19. The base radius of a right circular cylinder and a cone are equal and ...

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  20. If the Ariothmetic mean of the following data is 15, then find the val...

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