Inequalities L-16 | Modulus Function (Part C) | By Naman Agarwal | JEE Mains and Advanced | CBSE

Solve the following inequalities (where [*] denotes greatest integer function and {*} represent fractional part function) (i) [x+[x]] lt 0 (ii) [2x^(2)-x] lt 1 (iii) {x} lt (1)/(2)

In the circuit shown in figure : R = 10 Omega , L = (sqrt(3))/(10) H, R_(2) = 20 Omega and C = (sqrt(3))/(2) mF . Current in L - R_(1) circuit is I_(1) in C - R_(1) circuit is I_(2) and the main current is I At some instant current in L - R_(1) circuit is 10 A . At the same instant current in C - R_(2) branch will be

Find the range of the following functions: (where {.} and [.] represent fractional part and greatest integer part functions respectively) f(x)=1/(sqrt(16-4(x^(2))-x))

Find the range of the following functions: (where {.} and [.] represent fractional part and greatest integer part functions respectively) f(x)=3sinsqrt((pi^(2))/16-x^(2))

Let S denotes the set consisting of four functions and S = { [x], sin^(-1) x, |x|,{x}} where , {x} denotes fractional part and [x] denotes greatest integer function , Let A, B , C are subsets of S. Suppose A : consists of odd functions (s) B : consists of discontinuous function (s) and C: consists of non-decreasing function(s) or increasing function (s). If f(x) in A nn C, g(x) in B nnC, h (x) in B" but not C and " l(x) in neither A nor B nor C . Then, answer the following. The function f (x) is

Let S denotes the set consisting of four functions and S = { [x], sin^(-1) x, |x|,{x}} where , {x} denotes fractional part and [x] denotes greatest integer function , Let A, B , C are subsets of S. Suppose A : consists of odd functions (s) B : consists of discontinuous function (s) and C: consists of non-decreasing function(s) or increasing function (s). If f(x) in A nn C, g(x) in B nnC, h (x) in B" but not C and " l(x) in neither A nor B nor C . Then, answer the following. The range of f(h(x)) is

Let two parallel lines L_1 and L_2 with positive slope are tangent to the circle C_1 : x^2 + y^2 -2x 16y + 64 = 0 . If L_1 is also tangent to the circle C_2 : x^2 + y^2 - 2x + 2y -2 = 0 and the equation of L_2 is asqrta x - by + c - a sqrta = 0 where a,b,c in N. then find the value of (a+b+c)/7

Give the difference in the function between the following parts : (a) Ovary and ovule (b) Petal and sepal (c ) Filament and style (d) Pollen grains and ovule

The diagram given below is an external view of the human brain. Study the same and answer the questions that follow : State the main functions of the parts labelled A and B.