Home
Class 11
MATHS
Let f:NtoN be defined by f(x)=(x+1)^(2...

Let `f:NtoN` be defined by
`f(x)=(x+1)^(2)+x-[sqrt((x+1)^(2)+(x+1))]^(2)`
([] denotes the greatest integer function). Suppose a,b,c are three distinct natural numbers. Let
`Delta=|(f(a),a^(2),a),(f(b),b^(2),b),(f(c),c^(2),c)|`
Then `Delta` is equal to

Promotional Banner

Similar Questions

Explore conceptually related problems

Let f:R rarr A defined by f(x)=[x-2]+[4-x], (where [] denotes the greatest integer function).Then

Let f :(4,6) uu (6,8) be a function defined by f(x) = x+[(x)/(2)] where [.] denotes the greatest integer function, then f^(-1)(x) is equal to

Let Delta=|(a,x,x),(x,b,x),(x,x,c)| and f(x)=(x-a)(x-b)(x-c) Determinant Delta is equal to

Let f:(6, 8)rarr (9, 11) be a function defined as f(x)=x+[(x)/(2)] (where [.] denotes the greatest integer function), then f^(-1)(x) is equal to

Let f(x)=1+|x|,x =-1, where [* denotes the greatest integer function.Then f{f(-2.3)} is equal to

Let f(x) = (x[x])/(x^2+1) : (1, 3) rarr R then range of f(x) is (where [ . ] denotes greatest integer function)