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

If `a^2/(b+c)=b^2/(c+a)=c^2/(a+b)=1`, show that `1/(1+a)+1/(1+b)+1/(1+c)=1`

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

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

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

if b+c=a^2, c+a=b^2 and a+b=c^2 then find the value of 1/(1+a) + 1/(1+b) +1/(1+c)

If (b+c)/(a), (c+a)/(b), (a+b)/(c ) are in A.P. show that (1)/(a), (1)/(b), (1)/(c ) are also in A.P. (a+b+c != 0) .

If (b+c-a)x = (c+a-b)y = (a+b-c) z =2,then show that (i/x+1/y) (1/y+1/z) (1/z+1/x) =abc.

If (b-c)^2,(c-a)^2,(a-b)^2 are in A.P., then prove that 1/(b-c),1/(c-a),1/(a-b) are also in A.P.

If the roots of the equation a(b-c)x^2+b(c-a)x+c(a-b)=0 are equal, show that 2//b=1//a+1// c dot

If a, b, c are In A.P., then show that, (1)/(b c), (1)/(c a), (1)/(a b) are in A.P.

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UNITED BOOK HOUSE-JHOWDANGA SAMMILANI HIGH SCHOOL-EXERCISE
  1. If x=(sqrt3+1)/(sqrt3-1) and xy=1 then find the value of (3x^2+5xy+3y^...

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  2. If 15 farmers can cultivate 18 bighas of land in 5 days, then calculat...

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

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  4. If the 1st and 2nd of the five numbers in continued proportion are 2 a...

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

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  6. State and prove Pythagoras theorem.

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  7. N is the foot of the perpendicular form P to the diameter AB of the ci...

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  8. Two chords AB and CD of a cricle with centre O intersect at P. Prove t...

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  9. Draw a right angled triangle whose adjacent sides of the right angle a...

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  10. Geometrically find the value of 2sqrt7. (Only traces f construction a...

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  11. If the sum of two angles is 135^@ and their difference is Pi/2, then d...

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  12. If costheta= x/sqrt(x^2+y^2) show that x sin theta = y cos theta.

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  13. Find the value of cos^2 30^@-2cos^2 60^@-4sin^2 45^@+tan45^@.

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  14. Two towers are situated at a distance of 150 metre and the height of o...

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  15. From a point on the horizontal line through the foot of a chimney the ...

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  16. There were 800 lit . 735 lit. and 575 lit. Kerosine oil in three Keros...

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  17. There is come water in a cylindrical pot whose base diameter is 12 cm ...

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  18. A right circular cylindrical tank of 9 metre height is filled with wat...

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  19. Find the mean of the following data .

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  20. Find the median of given data :

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