Home
Class 12
MATHS
Suppose that x\ <\ 0. Which of the follo...

Suppose that `x\ <\ 0`. Which of the following is equal to `|2x-sqrt((x-2)^2)|` (a) `x-2` (b) `3x-2` (c) `3x+2` (d) `-3x+2`

Promotional Banner

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    BANSAL|Exercise All Questions|436 Videos
  • MASTER PRACTICE PROBLEM

    BANSAL|Exercise Match the column|48 Videos

Similar Questions

Explore conceptually related problems

Suppose that g(x)=1+sqrt(x) and f(g(x))=3+2sqrt(x)+x, then f(x) is

Suppose that f(x)f(f(x))=1 and f(1000)=999 then which of the following is true

Suppose thath (x)=f(x).g(x) and F(x)=f(g(x))f(2)=3;g(2)=5;g(2)=4;f(2)-=2 and f'(5)=11 then

Suppose that f(x)=x^(3)-3x^(2) and h(x)=[(f(x))/(x-3),x!=3 then K,x=3

Suppose that g(x)=1+sqrt(x) and f(g(x))=3+2sqrt(x)+x. Then find the function f(x) .

Suppose that g(x)=1+sqrt(x) " and " f(g(x))=3+2sqrt(x)+x. Then find the function f(x) .

Let a>0 and f be continuous in [-a,a]. Suppose that f'(x) exists and f'(x)<=1 for all x in(-a,a). if f(a)=a and f(-a)=-a show that f(0)=0

Suppose that F(x) is an antiderivative of f(x)=(sin x)/(x),x>0, then int_(1)^(3)(sin2x)/(x)dx can be expressed as

Let P(x) and Q(x) be two polynomials.Suppose that f(x)=P(x^(3))+xQ(x^(3)) is divisible by x^(2)+x+1, then

Suppose that the division x div 5 leaves a remainder 4 and the division x div 2 leaves a remainder 1. Find the ones digit of x.

BANSAL-LOGARITHM-All Questions
  1. Let N=10^(log2-2 log(log10^3)+log(log10^6)^(2)) where base of the loga...

    Text Solution

    |

  2. If x=(sqrt(10)+sqrt(2))/2\ and\ y=(sqrt(10)-sqrt(2))/2 then the value ...

    Text Solution

    |

  3. Suppose that x\ <\ 0. Which of the following is equal to |2x-sqrt((x-2...

    Text Solution

    |

  4. If N=(2^(log(70)9800))(5^(log(70)140))(7^(log(70)2)) then N is equal t...

    Text Solution

    |

  5. The expression q^((sqrt(6+sqrt(6+sqrt(6+....oo))))^(log3 p^([(logq(log...

    Text Solution

    |

  6. If a , b are co-prime numbers and satisfying (2+sqrt(3))^(1/(loga(2-s...

    Text Solution

    |

  7. If 2^((log2 3)^x)=3^((log3 2)^x) then the value of x is equal to

    Text Solution

    |

  8. A denotes the product xyz where x,y and z satisfy log3 x= log5-log7 a...

    Text Solution

    |

  9. A denotes the product xyz where x,y and z satisfy log3 x= log5-log7 a...

    Text Solution

    |

  10. A denotes the product xyz where x,y and z satisfy log3 x= log5-log7 a...

    Text Solution

    |

  11. Let N=((log)3 135)/((log)(15)3)-((log)3 5)/((log)(405)3) . Then N is a...

    Text Solution

    |

  12. If (a^(logb x))^2-5\ a^(logb x)+6=0, where a >0, b >0\ &\ a b!=1, then...

    Text Solution

    |

  13. Which of the following statement(s) is/are true? (a) log(10)2 lies be...

    Text Solution

    |

  14. The equation log(x^2) 16+log(2x)64=3 has (a) one irrational solution (...

    Text Solution

    |

  15. Which of the following real numbers is (are) non-positive ? (log)(1//...

    Text Solution

    |

  16. The expression x=log2log9sqrt(6+sqrt(6+sqrt(6+.........oo))) simplifie...

    Text Solution

    |

  17. The number N= 2^ (log2 3·log3 4.log4 5....... log99 100) simplifies to

    Text Solution

    |

  18. The expression 1/(log5 3)+1/log6 3-1/log10 3simplifies to

    Text Solution

    |

  19. The number N=sqrt(2+sqrt5-sqrt(6-3sqrt5+sqrt(14-6sqrt5) simplifies to

    Text Solution

    |

  20. The value(s) of x , which does not satisfy the equation log2^2(x^2-x...

    Text Solution

    |