the value of `lambda` if `sum "^100C_m *`` "^mC_97 =2^lambda``*"^100C_97`

The value of lambda if sum_(m=97)^(100)100C_(m)*mC_(97)=2^(lambda)*100C_(97), is :

Evaluate: ^100C_97

Evaluate: ^100C_97

The value of sqrt97 is nearer to

If roots of the equation x^(2)-lambda x+48=0 are integers,then(A) sum of all possible values of lambda equals,0(B) total number of values of lambda are 10(C) product of all possible values of lambda are perfect square (D) product of all possible values of lambda is an even number

If (1)/(cos 290^(@))+(1)/(sqrt(3)sin 250^(@))=lambda , then the value of 9 lambda^(4)+81 lambda^(2)+97 must be

If (1)/(cos 290^(@))+(1)/(sqrt(3)sin 250^(@))=lambda , then the value of 9 lambda^(4)+81 lambda^(2)+97 must be

If (1)/(cos 290^(@))+(1)/(sqrt(3)sin 250^(@))=lambda , then the value of 9 lambda^(4)+81 lambda^(2)+97 must be

Let lambda_(1),lambda_(2) be two values of lambda for which the expression x^(2)+(2-lambda)x+lambda-(3)/(4) becomes a perfect square.The value of (lambda_(1)^(2)+lambda_(2)^(2)) equals (i) 8 (ii) 25 (ii) 50 (iv) 100

The coefficient of x^(53) in the expansion sum_(m=0)^(100)^100C_m(x-3)^(100-m)2^m is (a) 100 C_(47) (b.) 100 C_(53) (c.) -100C_(53) (d.) none of these