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Find the value of ((1+sqrt-3)/2)^100+((1...

Find the value of `((1+sqrt-3)/2)^100+((1-sqrt-3)/2)^100`

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UNITED BOOK HOUSE-TAKI HOUSE-EXERCISE
  1. The distance between the two straight lines 3x+4y-9=0 and 6x+8y-15=0 i...

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  2. if the Pth term of an A.P. is q and qth term is P.Then show that the n...

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  3. Find the value of ((1+sqrt-3)/2)^100+((1-sqrt-3)/2)^100

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  4. If alphaand beta be two roots of the equation (x-a)(x-b)=c then show t...

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  5. Evaluate :cos^2(pi/8)+cos^2((3pi)/8)+cos^2((5pi)/8)+cos^2((7pi)/8)

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  6. If cosalpha+cosbeta=2/3and sinalpha+sinbeta=2/5then find the vvalue of...

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  7. If cosec theta+sectheta=cosecalpha+secalpha,then show that tan ((theta...

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  8. x=2cost+3y=2sint+5 and t=parameter find the locus of the point (x,y)

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  9. Find the equations of a straight line parallel to x-axis and passes th...

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  10. Prove by mathematical induction ,3^(2n+1)+2^(n+2)is divisible by 7,n i...

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  11. Factorise:x^2+y^2+z^2-xy-yz-zx

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  12. Solve :2y^2+3y+8-6i=0

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  13. The sum of first three terms of an arithmetic progression with n terms...

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  14. Show that sqrt3/(sin20^@)-1/(cos20^@)=4

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  15. If tan(alpha+beta)=a+b and tan(alpha-beta)=a-b then show that atanalph...

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  16. Show that,tan7 (1^@/2)=sqrt6-sqrt3+sqrt2-2

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  17. Show that the area of the triangle formed by the lines y = m(1) x + c(...

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  18. Find the co-ordinate of the orthocentre of a triangle whose vertices a...

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  19. If arg ((z-1)/(z+1))=pi/4,, then show that in complex plane, the locus...

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  20. Find the sum of n terms of 12+105+1008+10011+….

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