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If ^nPr=120 ^nC(n-r) , find the value...

If ^nP_r=120 ^nC_(n-r) , find the value of r.

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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 12-EXERCISE
  1. Show that tan67^@-tan22^@-tan67^@tan22^@=1

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  2. In /\ABC, if angleC = 90^@,. then find the value of tan A + tan B.

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  3. If ^nPr=120 ^nC(n-r) , find the value of r.

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  4. x.and y are- real and if x + iy.=5/(-3+4i),find the value of x and y.

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  5. Find the constant term of the expansion of (a^3-1/a^2)^15

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  6. If the P th term of an AP is (3P - 5), then find the common difference...

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  7. Find the equation of a straight fine passes through the middle ofthe s...

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  8. Find the ratio in which the plane xy divides the join of A(2, 3. 5) an...

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  9. If y=xe^x,show that xdy/dx=(1+x)y.

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  10. f(x)=x^2+ax,when 0lexle1 and f(x)=3-bx^2,when 1lexle2 if limxrarr1f(x...

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  11. A unbiased coin tossed three times. Find the probability of getting 1 ...

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  12. If the variance of a distribution is 4 coefficient of variation is 5%,...

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  13. For any two sets, show that (A cap B) cup (A - B)= A.

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  14. If tan^2 alpha = 1 + 2 tan^2 beta, show that cos2 beta = 1 + 2cos 2alp...

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  15. Solve :sin x 4 cos x = sin 2x 4 cos 2x.

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  16. Prove by mathematical induction, 1+1/4+1/9+...+1/n^2<2-1/nwhen n ge 2,...

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

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  18. Find the term independent of x of the expansion of (1+x)^3(x-1/x)^6

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  19. If pth, qth and rth terms of on AP are a. b and c, then show that a(q...

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  20. A straight line form a right angled triangle with the axes. If the len...

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