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The value of "^30C0.^30C10+^30C1.^30C11+...

The value of `"^30C_0.^30C_10+^30C_1.^30C_11+^30C_2.^30C_(12)+……+^30C_(20) . ^30C_(30`

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The value of (30,0)(30,10)-(30,1)(30,11)+(30,2)(30,12)-........+(30,20) (30,30) , where (n,r)=nC_r is a. (30,10) b. (30,15) c. (60,30) d. (31,10)

The value of sum_(r=0)^(40) r""^(40)C_(r)""^(30)C_(r) is (a) 40.^(69)C_(29) (b) 40.^(70)C_(30) (c) .^(60)C_(29) (d) .^(70)C_(30)

"^(30)C_(0)*^(20)C_(10)+^(31)C_(1)*^(19)C_(10)+^(32)C_(2)*18C_(10)+....^(40)C_(10)*^(10)C_(10) is equal to

What is the value of (2tan30^@)/(1-tan^2(30^@) ?

Find the values of sin 30^(@) ,cos 30 ^(@) ,tan 30 ^(@) ,cosec 30^(@) ,sec 30 ^(@) and cot 30^(@) by using the ratio concepts .

The term independent of a in the expansion of (1+sqrt(a)+1/(sqrt(a)-1))^(-30)i s ^30 C_(20) b. 0 c. ^30 C_(10) d. none of these

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CENGAGE PUBLICATION-BINOMIAL THEOREM-All Questions
  1. Statement 1: The number of distinct terms in (1+x+x^2+x^3+x^4)^(1000) ...

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  2. The product of 3rd and 8th term of a GP is 243. If its 4th term is 3. ...

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  3. The value of "^30C0.^30C10+^30C1.^30C11+^30C2.^30C(12)+……+^30C(20) . ^...

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  4. If f(x)=x^n ,f(1)+(f^1(1))/1+(f^2(1))/(2!)+........(f^n(1))/(n !),w h ...

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  5. The fractional part of =(2^(4n))/15 is

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  6. The value of .^(15)C(0)^(2)-.^(15)C(1)^(2)+.^(15)C(2)^(2)-"...."-.^(15...

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  7. If the sum of the coefficients in the expansion of (1-3x+10 x^2)^ni sa...

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  8. If (1+x-2x^2)^6=1+a1x+a2x^2+……+a(12)x^12 then

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  9. Maximum sum of coefficient in the expansion of (1-xsintheta+x^2)^n is

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  10. If the sum of the coefficients in the expansion of (a+b)^(n) is 4096, ...

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  11. The number of distinct terms in the expansion of (x+1/x+x^2+1/(x^2))^(...

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  12. The sum of the coefficients of even power of x in the expansion of (1+...

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  13. Second term of a GP is 6 and its 5th term is 9th time of its 3rd term....

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  14. The 4th term and the 9th term of a GP is 54 and 13122 respectively. Fi...

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  15. If a,b,c are in GP Then prove that, loga ,logb , logc are in AP.

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  16. If the coefficient of x^(7)in [ax^(2) + (1/bx)]^(11) equals the coeffi...

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  17. If the binomial coefficient of the (2r+4)^(th) term and (r-2)^(th) ter...

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  18. If the coefficients of the rth, (r+1)t h ,(r+2)t h terms is the expan...

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  19. If the three consecutive coefficients in the expansion of (1+x)^n are...

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  20. The expression (sqrt(2x^2+1)+sqrt(2x^2-1))^6 + (2/(sqrt(2x^2+1)+sqrt(2...

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