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The ratio of the roots of the quadratic ...

The ratio of the roots of the quadratic equation `ax^2+bx+c=0(a!=0)` is 1:r, then show that `(r+1)^2/r = b^2/(ac)`.

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UNITED BOOK HOUSE-SUGGESSTION OR MADHYAMIK PARIKSHA-EXERCISE
  1. Solve: x/(x+1)+(x+1)/x = 2 1/12 (x!=0,-1)

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  2. Solve: (12x+17)/(3x+1)-(2x+15)/(x+7) = 3 1/5[x!= -1/3,-7]

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  3. The ratio of the roots of the quadratic equation ax^2+bx+c=0(a!=0) is ...

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  4. A man travelled 84 kms by cycle and observed that if he would be cycli...

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

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

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

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

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

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

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

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

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

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

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  15. State and prove Pythagoras theorem.

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

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

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

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

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

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