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If (y/z)^a.(z/x)^b.(x/y)^c=1and a,b,c ar...

If `(y/z)^a.(z/x)^b.(x/y)^c=1`and a,b,c are in A.P ,show that x,y,z are in G.P.

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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 3-EXERCISE
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  2. Show that the co-efficient of the middle term of the expansion of(1+x)...

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  3. If (y/z)^a.(z/x)^b.(x/y)^c=1and a,b,c are in A.P ,show that x,y,z are ...

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  4. In /\XYZthe equation of the perpendicularbisector of XY and XZ arc x-y...

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  5. Find the distance of the point (3. 5) from the line 2x + 3y = 14measur...

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  8. Evaluate:lim(x-0)((e^x-1)log5(1+5x))/(sin^2x)

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  9. Differentiate a^x with respect to x (a> 0) with the help 1st principle...

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  10. ‘I80 is the multiple of 4 or 5 examine the validity of the compound st...

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  11. ‘x is such a real number that 4x^3 + 3x= 0, then x = O’. Find the trut...

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  12. The AM and SD of the marks obtained in the subjects' Bengali, .English...

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  13. If cosalpha=siny/sinx,cosbeta=sinz/sinxand cos(alpha-beta)=siny sinz.S...

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  14. Solve :16^(sin^2x)+16^(cos^2x)=10.[0lexlepi]

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  15. Find the common solution region by. the graphical method.3x+2yle18,x+2...

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  17. Find the sum upto nth term : ,1 + 4 + 13 .+ 40 + ........

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  18. Find the rank of the word MOTHER when its letters are arranged as in a...

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  20. If the ellipsex^2/a^2+y^2/b^2=1passes through the intersecting points ...

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