Home
Class 12
MATHS
Make the following expressions free from...

Make the following expressions free from modulus sign : `(x in R)`
(i) `|x+2|+|x-2|` if `x^(2) le 2` , (ii) `|x^(3)+8|` , (iii) `|x+3|+|x|+|x-1|`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Make the following expressions free from modulus sign: (x in R) |x^3+8|

Make the following expressions free from modulus sign: (x in R) |2x-x^2-3|

Make the following expressions free from modulus sign: (x in R) |x^2-2x+3|

Make the following expressions free from modulus sign: (x in R) |x+1|ifx >-1/2

Makes the following expressions free from modulus sign: (x in RR) |x^2 - 7x + 10| if x < 5 .

Make the following expressions free from modulus sign : (x in R) (i) |x^(3)+8| , (ii) |x+3|+|x|+|x-1|

Make the following expressions free from modulus sign : (i) |x^(2) -3x-4| , (ii) |x^(2)-7x+10| if x lt 5

Make the following expressions free from modulus sign : (i) |x^(2) -3x-4| , (ii) |x^(2)-7x+10| if x lt 5

Make the following expressions free from modulus sign : (i) |x^(2) -3x-4| , (ii) |x^(2)-7x+10| if x lt 5

Solve : (i) -2 le ||x^(2) +1| -3 | le 7 (ii) |x^(2) - 4x| le 5

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. The range of values of lambda for which the circles x^(2)+y^(2)=4 and ...

    Text Solution

    |

  2. f:RrarrR be twice differentiable function satisfying f^(")(x)-5f^(')...

    Text Solution

    |

  3. Make the following expressions free from modulus sign : (x in R) (...

    Text Solution

    |

  4. Let f:RtoR be a differentiable function such that f(x)=x^(2)+int(0)^(x...

    Text Solution

    |

  5. let |{:(1+x,x,x^(2)),(x,1+x,x^(2)),(x^(2),x,1+x):}|=(1)/(6)(x-alpha(1)...

    Text Solution

    |

  6. The sum of first p -terms of a sequence is p(p+1)(p+2)dot the 10th ter...

    Text Solution

    |

  7. Lines whose equation are (x-3)/(2)=(y-2)/(3)=(z-1)/(lamda) and (x-2)/(...

    Text Solution

    |

  8. The solution set of the inequation 3^(72)(1/3)^x(1/3)^(sqrt(x))>1 is [...

    Text Solution

    |

  9. If the curves C1 : y= (In x)/x and C2 : y=lambdax^2 (where lambda is c...

    Text Solution

    |

  10. A die is rolled and showing any number is directly proportional to tha...

    Text Solution

    |

  11. If A=[{:(1,-1,1),(0,2,-3),(2,1,0):}] and B=(adjA) and C=5A, then find ...

    Text Solution

    |

  12. If the roots of the equation (x^2-b x)/(a x-c)=(m-1)/(m+1) are equal ...

    Text Solution

    |

  13. Find the value of a for which the sum of the squares of the roots of t...

    Text Solution

    |

  14. Lines whose equation are (x-3)/(2)=(y-2)/(3)=(z-1)/(lamda) and (x-2)/(...

    Text Solution

    |

  15. Let f(x)a n dg(x) be differentiable functions such that f^(prime)(x)g(...

    Text Solution

    |

  16. Let f(x)= 4x^(2) - 4ax + a^(2) - 2a + 2 such that minimum value fo the...

    Text Solution

    |

  17. Suppose that E1 and E2 are two events of a random experiment such that...

    Text Solution

    |

  18. If 1/3(log)3M+3(log)3N=1+(log)(0. 008)5, then

    Text Solution

    |

  19. Consider a quadratic equation az^(2)bz+c=0, where a,b and c are comple...

    Text Solution

    |

  20. Find tha value of the expression 2/log4(2000)^6+3/log5(2000)^6

    Text Solution

    |