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If the ratio of A.M. and G.M. of two pos...

If the ratio of A.M. and G.M. of two positive numbers a and b is m : n, then prove that :
`a:b=(m+sqrt(m^(2)-n^(2))):(m-sqrt(m^(2)-n^(2)))`

A

`5:6`

B

`3:2`

C

`1:1`

D

can't be determined

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT SSC-GEOMETRY-INTRODUCTORY EXERCISE - 12.5
  1. In the given figure OM | AB, radius of the circle is 5 cm and length o...

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  2. In the given figure, two circles with their respective centres interse...

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  3. If the ratio of A.M. and G.M. of two positive numbers a and b is m : n...

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  4. In the given figure the two chords AC and BC are equal. The radius OC ...

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  5. In the adjoining figure, O is the centre of circle and diameter AC = 2...

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  6. In the adjoining circle C(O,r)the degree measure of minor arc AB=130^@...

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  7. If the diagonals of a cyclic quadrilateral are equal, then the quadril...

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  8. If the given figure, AB is diameter of the circle, C and D lie on the ...

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  9. In the above figure , O is the centre of the circle, AB and CD are dia...

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  10. The quadrilateral formed by the bisectors of the angles of a parallelo...

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  11. DeltaABC and DeltaDBC have a common base and drawn towards one sides. ...

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  12. In the given figure, angleBAC and angleBDC are the angles of same segm...

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  13. In the given figure, O is the centre of the clrcle. angleABO = 60^(@)....

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  14. In the figure ,find the value of x.

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  15. In the adjoining figure, O is the centre of the circle and D angleOBD ...

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  16. In the given figure, DeltaABC is an equilateral triangle. Find angleBE...

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  17. In the given figure, AB is the diameter of the circle. Find the value ...

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  18. In the given figure, ABCD is a cyclic quadrilateral and diagonals D bi...

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  19. In the given figure, ABCD is a cyclic quadrilateral and AB is diameter...

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  20. In the given figure, angleCOB = 40^(@), AB is the diameter of the circ...

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