Home
Class 11
MATHS
For xne0 ,f(x) = (x-|x|)/(|x|) then f(-1...

For `xne0 ,f(x) = (x-|x|)/(|x|)` then `f(-1)=0`

Text Solution

Verified by Experts

The correct Answer is:
False Statement
Promotional Banner

Topper's Solved these Questions

  • OBJECTIVE SECTION AS PER NEW PAPER SCHEME

    KUMAR PRAKASHAN|Exercise Trigonometric Functions (Fill in the blanks)|62 Videos
  • OBJECTIVE SECTION AS PER NEW PAPER SCHEME

    KUMAR PRAKASHAN|Exercise Trigonometric Functions (True /False Statement)|40 Videos
  • OBJECTIVE SECTION AS PER NEW PAPER SCHEME

    KUMAR PRAKASHAN|Exercise Relations and Functions (Fill in the blanks)|60 Videos
  • MATHEMATICAL REASONING

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (Knowledge Test:)|2 Videos
  • PERMUTATIONS AND COMBINATIONS

    KUMAR PRAKASHAN|Exercise PRACTICE WORK |40 Videos

Similar Questions

Explore conceptually related problems

If f(x)=(1-x)/(1+x)" then "f(x)+ f(1/x)=...... where (x)in R-{0,1}.

If 2f (x)- 3f((1)/(x))= x^(2) (x ne 0) then f(2)= ……

f: [0,oo) rarr [0,oo) , f(x) = x/(1+x) then the function f is .........

If (d(f(x)))/(dx) = e^(-x) f(x) + e^(x) f(-x) , then f(x) is, (given f(0) = 0)

A function y = f(x) satisfies the condition f(x+(1)/x) =x^(2)+1/(x^2)(x ne 0) then f(x) = ........

Function f and g defined on R-{0}rarrR as f(x)=x and g(x)=1/x" then "f.g(x) = ...... .

f:R rarr R , f(x) = {(12x+5,x gt1),(x-4,xle1):} then find f(0),f(-1/2), f(3),f(-5) .

If f(x)= x^(3)- (1)/(x^(3)) then show that f(x)+ f((1)/(x))= 0

Show that int_(0)^(a)f(x)g(x)dx=2int_(0)^(a)f(x)dx , if f and g are defined as f (x) = f (a - x) and g(x) + g(a - x) = 4

Discuss the continuity of f(x) =x tan^(-1)(1/x) ,f(0)=0

KUMAR PRAKASHAN-OBJECTIVE SECTION AS PER NEW PAPER SCHEME -Relations and Functions (True /False Statement )
  1. f: R rarr R, f(x) = sec^(2)x - tan^(2) x is constant function .

    Text Solution

    |

  2. Graph of constant function is line parallel to Y - axis (means graph i...

    Text Solution

    |

  3. For xne0 ,f(x) = (x-|x|)/(|x|) then f(-1)=0

    Text Solution

    |

  4. f:R^(+)rarrR^(+),f(x)=x^2+4(sqrtx)+3 then f(4) = 24.

    Text Solution

    |

  5. Graph of identity function passes from origin and also from first , th...

    Text Solution

    |

  6. f and g are real functions defined by f(x)= 2x + 1 and g(x) =4x -7. If...

    Text Solution

    |

  7. Let R be the relation on Z defined by R= {(a,b): a, b in Z, a-b "is an...

    Text Solution

    |

  8. Find the domain of the function f(x)=(x^(2)+3x+5)/(x^(2)-5x+4)

    Text Solution

    |

  9. Set A has three elements and B = {a, b, c,d} then numbers of elements ...

    Text Solution

    |

  10. If n(A) = p and n (B) = q then numbers of non void relations from A to...

    Text Solution

    |

  11. Let R = {(1, 3), (2, 2), (3, 2)} and S = {(2, 1), (3, 2), (2, 3)} be t...

    Text Solution

    |

  12. A = {3k| k in N} B = {3k -1|k in N} and C = {3k-2| k in N}. Then A , B...

    Text Solution

    |

  13. n(A DeltaB) = n(A) + n(B) - 2n (A cap B)

    Text Solution

    |

  14. If [n(A)]^(3) = 8 and {0,1,0} in A^3 then a = {0,1}

    Text Solution

    |

  15. Let A = {x : x is a natural number}, B = {x : x is an even natural n...

    Text Solution

    |

  16. f: R rarr R, f(x) = sec^(2)x - tan^(2) x is constant function .

    Text Solution

    |

  17. Graph of constant function is line parallel to Y - axis (means graph i...

    Text Solution

    |

  18. For xne0 ,f(x) = (x-|x|)/(|x|) then f(-1)=0

    Text Solution

    |

  19. f:R^(+)rarrR^(+),f(x)=x^2+4(sqrtx)+3 then f(4) = 24.

    Text Solution

    |

  20. Graph of identity function passes from origin and also from first , th...

    Text Solution

    |