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Show that 1/(sin10^@)-sqrt3/(cos10^@)=4...

Show that `1/(sin10^@)-sqrt3/(cos10^@)=4`

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UNITED BOOK HOUSE-ANNUAL EXAMINATION QUESTION PAPERS 2017-EXERCISE
  1. A relation R is defined from A={1,2,3,4,5} to B={1,2,3}in such a way t...

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  2. If (x+y) prop (x-y) , then show that (x^(3) +y^(3)) prop (x^(3)-y^(3))...

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  3. Show that 1/(sin10^@)-sqrt3/(cos10^@)=4

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  4. Find the value of 2ac sin ((A-B+C)/2)for /\ABC

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  5. If z be a complex number and |z+5|le6,then find the maximum and minimu...

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  6. If ^nPr=504and ^nCr=84,then find value of n and r.

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  7. Find the coefficinet of 1/x^2in the expansion of (2x^3-1/x^2)^6.

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  8. If P-th term of an arithmetic progression be Q and Q-th term be P.then...

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  9. If the perimeter of the triangle formed by the straight line 4x+3y+k=0...

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  10. Find the co-ordinates of the point lies on the plane YOZ which is equi...

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  11. Evaluate :lim(xrarr0)(cos5x-cos7x)/(cosx-cos5x)

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  12. If (x+4)y=x.then show that x dy/dx+y(y-1)=0.

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  13. If a coin is tossed 3 times in succession,then find the probability of...

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  14. The standard deviation of 32 numbers is 5.If the sum of the numbers is...

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  15. For any three sets A,B and C ,prove that A-(BcupC)=(A-B)cap(A-C).

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  16. If sin^4alpha/a+cos^4alpha/b=1/(a+b),then show that sin^8alpha/a^3+cos...

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  17. If for a triangle ABC , cot A+cotB+cotC=sqrt3,then show that the trian...

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  18. If n in N,then prove by mathematical induction that 7^(2n)+2^3(n-1).3^...

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  19. If z=x+iy and (z-i)/(z+1)is purely imaginary,then show that the point ...

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  20. How many odd numbers of fve digits can be formed with the digits 3,6,7...

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