The coefficients of `x^16 and x^17` in `(a+bx)^101` areequal. If `a and b` are natural numbers, then theleast possible value of ‘a’ is

If the coefficients of x^(7) in (x^(2)+(1)/(bx))^(11) and x^(-7) in (x-(1)/(bx^(2)))^(11), b ne 0 , are equal, then the value of b is equal to

Solve 11x<101 when x is a natural number.

If a and b are positive numbers and eah of the equations x^(2)+ax+2b=0 and x^(2)+2bx+a=0 has real roots,then the smallest possible value of (a+b) is

If the magnitude of the coefficient of x^(7) in the expansion of (ax^(2)+(1)/(bx))^(8) , where a, b are positive numbers, is equal to the magnitude of the coefficient of x^(-7) in the expansion of (ax-(1)/(bx^(2)))^(8) , then a and b are connected by the relation

Let |(3,y), (x,1)| = |(3,2), (4,1)| . Find possible values of x and y are natural numbers.