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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 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-BEGUNKODAR HIGH SCHOOL-EXERCISE
  1. If x= (sqrt7+sqrt3)/(sqrt7-sqrt3) and xy= 1 then find the value of (x^...

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  2. The total expenses of a hostel are partly constant and partly vary dir...

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  3. If (10x+3y):(5x+2y)= 9:5 then find (2x+y):(x+2y).

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  4. 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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  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. ABCD is a cyclic quadrilaterla. Extended AB and DC intersect at P. Pr...

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

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  9. Draw a triangle ABC whose BC = 9 cm, AB = 7 cm and AC = 8cm. Now draw ...

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  10. Geometrically find the value of sqrt(oo).

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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 (sin theta) (x) = (cos theta)/(y), then prove that sin theta - cos ...

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  13. Answer any two questions : If sin 17^@ = x/y, show that sec 17^@ - sin...

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  14. Two pillars of equal heights are on the either side of a road, which i...

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  15. The height of two towers are 180 metres and 60 metres respectively. If...

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  16. Determine the number of coins with diameter and thickness of 3cm and 8...

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  17. Three spheres made of copper having the lengths of 6cm, 8 cm and 10 cm...

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  18. A tank of length 21 dcm, breadth 11 dcm and 6 dcm deep is half filled ...

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  19. If the median of the given data is 32, then find the value of x and y ...

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  20. Find the mode of the following frequency distribution table.

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