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If x alpha y+x (k is constant), y alpha(...

If `x alpha y+x` (k is constant), `y alpha(z+x)` (l is constant), `z alpha(x+y)` (m is costant), then show that `k/(k+1)+l/(l+1)+m/(m+1)=1`.

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UNITED BOOK HOUSE-SUGGESSTION OR MADHYAMIK PARIKSHA-EXERCISE
  1. A man travelled 84 kms by cycle and observed that if he would be cycli...

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  2. If (a+b) alpha sqrt(ab), then show that (sqrta+sqrtb) alpha (sqrta-sqr...

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  3. If x alpha y+x (k is constant), y alpha(z+x) (l is constant), z alpha(...

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  4. Solve: sqrt(4x-9)+sqrt(4x+9)= 5+sqrt7.

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

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  6. If (a^3+3ab^2)/(3a^2b+b^3) = 63/62 the find (5a-3b):(3a-b).

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

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  8. If (a+b)/(b+c) = (c+d)/(d+a) then prove that either c= a or a+b+c+d = ...

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  9. If ay - bx/c = cx - az/b = bz - cy/a, then prove that x/a = y/b = z/c.

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  10. Prove that the front angle formed at the centre of a circle by an arc ...

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

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  12. State and prove Pythagoras theorem.

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  13. If two circles touch each other externally then the point of contact w...

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

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

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  16. If two chords AB and CD of a circle with centre O, when produce inters...

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  17. ABCD is a cyclic quadrilateral. The bisectors of angleDAB and angleBCD...

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  18. In a isosceles triangle ABC , angleB is right angle. Bisector of angle...

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  19. Draw a triangle ABC, whose AB = 4.5 cm , BC = 3.5cm and angleABC = 90^...

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  20. Draw an equilateral triangle having each side of length 6.5 cm. Now dr...

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