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If a,b,c,d are in continued proportion then show that `(b-c)^2+(c-a)^2+(b-d)^2= (a-d)^2`.

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If a, b, c, d are in continued proportion, then prove that (b -c)^(2) + (c -a)^(2) + (b-d)^(2) = (a -d)^(2)

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

If a,b,c,d are in continued proportion then show that abcd(1/a+1/b+1/c+1/d)^2 = (a+b+c+d)^2 .

If a,b,c,d are in continued proportion then show that bc(1/a+1/b+1/c+1/d) = a+b+c+d .

If a,b,c, are in continued proportion then prove that a^2b^2c^2(1/a^3+1/b^3+1/c^3)= a^3+b^3+c^3 .

If a,b,c,d be in G.P. show that (b-c)^2 + (c-a)^2 + (d-b)^2 = (a-d)^2 .

If a, b, c and d are in G.P., show that, (b-c)^(2) + (c-a)^(2)+ (d-b)^(2) = (a-d)^(2) .

If a, b, c be in continued proportional, then prove that a^2 b^2 c^2 (1/a^3 + 1/b^3+1/c^3) =a^3 +b^3+c^3

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UNITED BOOK HOUSE-TAMLUK HAMILTON HIGH SCHOOL-EXERCISE
  1. Solve: a/(ax-1)+b/(bx-1)=a+b (x!=1/a,1/b).

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  2. If 2x = sqrta+1/sqrta. Show that sqrt(x^2-1)/(x-sqrt(x^2-1))(a-1)

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  3. x varies directly with y and inversely with z. When y =5, z= 9 then x=...

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  4. If a,b,c,d are in continued proportion then show that (b-c)^2+(c-a)^2+...

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  5. State and prove the convere of the Pythagoras theorem.

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  6. Prove that the tangent to the circle at any point on it is perpendicul...

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

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  8. Geometrically find the value of sqrt(21),

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  9. Draw a triangle whose two sides are 9 cm and 7 cm in length and the an...

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  10. For which value of theta(0^@lethetale90^@) sin^2 theta-3sin theta+2=0 ...

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  11. If alpha and beta are complementary angles, then show that cot beta+co...

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  12. If 0^@<(alpha)<90^@, then find the minimum value of 4cosec^2 (alpha)+...

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  13. A palm tree stands on the bank of a river. A post is fixed I the earth...

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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 length of outer and inner diameter of a hallow right circular cyli...

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  16. On the curved surface of the axis of a globe with the length of 14cm r...

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  17. The external radius of a hollow sphere made of lead sheet of 1 cm thic...

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  18. Draw an ogive (less than type) from the following frequency distributi...

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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 mean of the following frequency distribution table.

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