Consider the algebraic expression `(x+1)(x+2)(x+3)(x+4)........(x+100)`. Coefficient of `x^(99)` is equal to

Sam Comprehension for (Q.No.76 to Q.No.78) TTETRT Consider the algebraic expression (x 1) (x 2) (x 3) (x 4) 100) On the basis of above information, answer the following questions 76. Coefficient of x 100 is equal to 76. (1) 1 (2) 50 (3) 100 (4) 101 77. Coefficient of x 99 is equal to 17 (1) -50 (2) -100 (4) -101 (3) -5050 78. Coefficient of x is equal to 98 (1) -158975 (2) -168925 (3) -167925 (4) -157925

In the expression (x+1) (x+4)(x+9)(x+16)"….."(x+400) , the coefficient of x^(19) is

In the expansion of (x-1)(x-3)(x-5).........(x-99) , the coefficient of x^49 is.

The minimum value of algebraic expression 4-(3)/(x^(2)-4x+6) is

Consider the expansion of (1 + x)^(2n+1) If the coefficients of x^(r) and x^(r+1) are equal in the expansion, then r is equal to