Home
Class 12
MATHS
Let f(x) = x^(2) - 3x + 2 be a function ...

Let `f(x) = x^(2) - 3x + 2` be a function defined from `R rarr R` and `|x| = {{:(x,, x ge 0),(-x ,, x le 0):}`, then answer the following
Range of value of x for which `|f|x|| - f|x| = `0 has no solution

A

[1,2]

B

`[-2, -1] cup [1, 2]`

C

`(-2, -1) cup (1, 2)`

D

`(-oo, 0) cup (1, 2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - E) Assertion - Reason Type Questions|15 Videos

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - G) Integer Answer Type Questions|8 Videos

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - C) Objective Type Questions (More than one option are correct)|17 Videos

  • PROBABILITY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION-J (aakash challengers questions)|13 Videos

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Assignment (SECTION - J) Aakash Challengers|12 Videos

Similar Questions

Explore conceptually related problems

Let f(x) = x^(2) - 3x + 2 be a function defined from R rarr R and |x| = {{:(x,, x ge 0),(-x ,, x le 0):} , then answer the following Number of solutions of the equation |f(|x|)| = 2

Let f(x) = x^(2) - 3x + 2 be a function defined from R rarr R and |x| = {{:(x,, x ge 0),(-x ,, x le 0):} , then answer the following Value of k for which equation |f|x|| = k has six solutions

Let f(x)=x^(2)3x+2 be a function defined from R rarr R and |x|={x,x>=0,-x,x<=0 then answer the following

Let f be a function defined from R rarr R as f(x)={ x+p^(2) x 2} If f(x) is surjective function then sum of all possible integral values of p for p in [0 ,10] is

Let f(x) be defined on [-2,2] and is given by f(x) = {{:(x+1, - 2le x le 0 ),(x - 1, 0 le x le 2):} , then f (|x|) is defined as

Let f(x)=x^(3)+x be function and g(x)={(f(|x|)",", x ge 0),(f(-|x|)",",x lt 0):} , then

Let f(x) be a function defined as below : f(x)=sin(x^(2)-3x) ,x le 0 =6x+5x^(2), x gt 0 then at x=0 ,f(x)

Let f be a function on R given by f(x) = x^(2) and let E = {x in R: - 1 le x le 0 } and F = { x in R , 0 le x le 1 } then which of the following is fase ?

Let f:R rarr R be defined as f(x)={2kx+3,x =0 If f(x) is injective then find the smallest integral value of

Let f:R rarr R be a function defined by f(x)=|x] for all x in R and let A=[0,1) then f^(-1)(A) equals

AAKASH INSTITUTE-RELATIONS AND FUNCTIONS -Assignment (Section - D) Linked Comprehension Type Questions
  1. Let f(x) be a real valued function such that the area of an equilatera...

    Text Solution

    |

  2. Let f(x) be a real valued function such that the area of an equilatera...

    Text Solution

    |

  3. Let f(x) be a real valued function such that the area of an equilatera...

    Text Solution

    |

  4. Let f(x) and g(x) be two real valued functions then |f(x) - g(x)| le |...

    Text Solution

    |

  5. Let f(x) and g(x) be two real valued functions then |f(x) - g(x)| le |...

    Text Solution

    |

  6. Let f(x) and g(x) be two real valued functions then |f(x) - g(x)| le |...

    Text Solution

    |

  7. The absolute valued function f is defined as f(x) = {{:(x,, x ge 0),(-...

    Text Solution

    |

  8. The absolute valued function f is defined as f(x) = {{:(x,, x ge 0),(-...

    Text Solution

    |

  9. Consider that f : A rarr B (i) If f(x) is one-one f(x(1)) = f(x(2)) ...

    Text Solution

    |

  10. Consider that f : A rarr B (i) If f(x) is one-one f(x(1)) = f(x(2)) ...

    Text Solution

    |

  11. Consider that f : A rarr B (i) If f(x) is one-one f(x(1)) = f(x(2)) ...

    Text Solution

    |

  12. Let f : [-3, 3] rarr R defined by f(x) = [(x^(2))/(a)] tan ax + sex ax...

    Text Solution

    |

  13. Let f : [-3, 3] rarr R defined by f(x) = [(x^(2))/(a)] tan ax + sex ax...

    Text Solution

    |

  14. Let f : [-3, 3] rarr R defined by f(x) = [(x^(2))/(a)] tan ax + sex ax...

    Text Solution

    |

  15. Let f(x) = x^(2) - 3x + 2 be a function defined from R rarr R and |x| ...

    Text Solution

    |

  16. Let f(x) = x^(2) - 3x + 2 be a function defined from R rarr R and |x| ...

    Text Solution

    |

  17. Let f(x) = x^(2) - 3x + 2 be a function defined from R rarr R and |x| ...

    Text Solution

    |