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Prove that ,In /\ABC a(bcosC-ccosB)=b^2...

Prove that ,In `/_\ABC ` a(bcosC-ccosB)=`b^2-c^2`

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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 1-EXERCISE
  1. Let P={1,2,,3},Q={1,8,27}and f:PrarrQbe given by f(x)=x^3and g(x)=6x^2...

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  2. Find the value of cos^2 48^@-sin^2 12^@

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  3. Prove that ,In /\ABC a(bcosC-ccosB)=b^2-c^2

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  4. If omegais an imaginary cube root of unity then prove that (xomega^2+y...

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  5. 1st,2nd,and 8th term of a G.P are a^-4,a^m,a^52.Find the value of m.

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  6. If the 5th term of the expansion of (x^(2//3)+x^-1)^nis the term indep...

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  7. Prove that AA n,14^n-13n-1 is divisible by 13.(n in N)

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  8. Find the distance between the lines 3x+4y=9 and 6x+8y+15=0.

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  9. Find the ratio in which the plane 2x+3y+5z=1 divides the line segment ...

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  10. From 1st principle differentiate f(x)=sqrtxwith respect to x.

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  11. If f(x)=1/x (x!=0),Show that f'(1)-f'(-1)=0.

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  12. Show that the SD of two variables is half of their optimum value.

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  13. P(A)=1/2,P(B)=1/3,P(C)=1/4,are these true?when A,B,C are mutually disj...

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  14. For any two sets,prove that n(Acup B)=n(A)+n(B)-n(AcapB).

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

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  16. Solve :cos^8alpha+sin^8alpha=17/32

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  17. If x=a+b,y=aw+bw^2,z=aw^2+bw,show that xyz=a^3+b^3

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  18. If ,p,q,a,b are 6th,7th,8th and 9th term of the expansion of (x+r)^n,t...

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  19. By using mathematical induction prove that 3^(2n)-8n-1is divisible by ...

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  20. If a,b,c are in G.P and x,y are the arithmetic mean of a and b aand b,...

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