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If acosphi=b costheta,show that a tanthe...

If `acosphi=b costheta`,show that `a tantheta+b tanphi=(a+b)tan((theta+phi)/2)`

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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 9-EXERCISE
  1. Show that the mean deviation with respect to Arithmetic mean is zero

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  2. If f(x)=1/x^2,show that f(x)-f(x+1)=(2x+1)/(x^2(x+1)^2)and hence again...

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  3. If acosphi=b costheta,show that a tantheta+b tanphi=(a+b)tan((theta+ph...

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  4. Show that tan20^@tan40^@tan80^@=sqrt3

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  5. Prove the following by the method of mathematical induction. :n^3+(n+1...

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  6. If the sum of 1+2r+3r^2+4r^3+...oo9/16,find the value of r.

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  7. In how many ways can the crew of an 8-oared boat be arranged if 2 of t...

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  8. Express(sqrt3-i)/(1-sqrt3i)in modulus amplitude form

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

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  10. Find the co-ordinate of the image of the point (-3, -1), with respect ...

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  11. Show that the circle with the portion of the line 3x + 4y = 12 interce...

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  12. Find the equation to the locus of a point whose distance from YZ plane...

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  13. Evaluate the following limits :lim(xrarr0)(xtan2x-2xtanx)/((1-cos2x)^2...

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  14. If f(x)=|x-1|1+x^2.Is f'(x) exist?examine it.

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  15. Using contrapositive method show tha the compund statement .is true or...

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  16. Show that sqrt3is irrational. (Use the method of contradiction).

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  17. If the letters of the word PROBABILITY be arranged at random, find the...

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  18. AM and SD of 7- observations are 8 and 4. If 5.of the 7 observations a...

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  19. Find the maximum and minimum value of 5costheta+12sintheta+12

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  20. Show that the equations,sin^2theta=sin^2alpha,cos^2theta=cos^2alphaand...

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