Home
Class 12
MATHS
If 4^x-2^(x+2)+5+||b-1|-3|-siny|, x , y ...

If `4^x-2^(x+2)+5+||b-1|-3|-siny|, x , y , b in R ,` then the possible value of `b` is_________

Text Solution

Verified by Experts

The correct Answer is:
4
`(2^(2x)-4.2^(x)+4)+1+|""|b-1|-3|=|sin y|`
`or (2^(x)-2)^(2)+1+|""|b-1|-3|=|sin y|`
`LHS ge 1 and RHS le 1`
` :. 2^(x)=2,|b-1|-3=0`
` or (b-1)= +-3`
`or b=4, -2`
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE|Exercise JEE Previous Year|12 Videos

  • RELATIONS AND FUNCTIONS

    CENGAGE|Exercise Exercise (Matrix)|9 Videos

  • Quadratic Equations, Inequalities, Modulus and Logarithms

    CENGAGE|Exercise Question Bank|28 Videos

  • SCALER TRIPLE PRODUCTS

    CENGAGE|Exercise DPP 2.3|11 Videos

Similar Questions

Explore conceptually related problems

If 4^x-2^(x+2)+5+||b-1|-3|=|siny|, x , y , b in R , then the possible value of b is_________

If aa n db are positive numbers and eah of the equations x^2+a x+2b=0a n dx^2+2b x+a=0 has real roots, then the smallest possible value of (a+b) is_________.

If a(x^(2)+y^(2)+2y+1)=(x-2y+3)^(2) is an ellipse and a in (b, oo) , then the value of b is ___________

For x in R , find all possible values of |x-3|-2 (ii) 4-|2x+3|

If the line 3x-4y-lambda=0 touches the circle x^2 + y^2-4x-8y- 5=0 at (a, b) then which of the following is not the possible value of lambda+a + b ?

If (1 -2x)/(3 + 2x - x^(2)) = (A)/(3 -x ) + (B)/(x + 1) ,then the value of A + B is

Let cos^(-1)(x)+cos^(-1)(2x)+cos^(-1)(3x)b epidot If x satisfies the equation a x^3+b x^2+c x-c_1=0, then the value of (b-a-c) is_________

Let cos^(-1) (4x^(3) -3x) = a + b cos^(-1) x If x in [-1, -(1)/(2)) , then the value of a + b pi is

If c<1 and the system of equations x+y-1=0,2x-y-c=0,a n db x+3b y-c=0 is consistent, then the possible real values of b are b (-3 3/4) b. b (-3/2,4) c. b (-3/4,3) d. none of these

If c<1 and the system of equations x+y-1=0,2x-y-c=0,a n db x+3b y-c=0 is consistent, then the possible real values of b are b (-3 3/4) b. b (-3/2,4) c. b (-3/4,3) d. none of these

CENGAGE-RELATIONS AND FUNCTIONS-Exercise (Numerical)
  1. Suppose that f is an even, periodic function with period 2,a n dt h a ...

    Text Solution

    |

  2. If f(x)=sqrt(4-x^2)+sqrt(x^2-1) , then the maximum value of (f(x))^2 i...

    Text Solution

    |

  3. The function f(x)=(x+1)/(x^3+1) can be written as the sum of an even f...

    Text Solution

    |

  4. If T is the period of the function f(x)=[8x+7]+|tan2pix+cot2pix|-8x] (...

    Text Solution

    |

  5. An even polynomial function f(x) satisfies a relation f(2x)(1-f(1/(2x)...

    Text Solution

    |

  6. If f(x)=sin^2x+sin^2(x+pi/3)+cosxcos(x+pi/3)a n dg(5/4=1, then (gof)(x...

    Text Solution

    |

  7. Let E={1,2,3,4,} and F={1,2}. Then the number of onto functions from E...

    Text Solution

    |

  8. The function of f is continuous and has the property f(f(x))=1-xdot Th...

    Text Solution

    |

  9. A function f from integers to integers is defined as f(n)={(n+3",",...

    Text Solution

    |

  10. If theta is the fundamental period of the function f(x) = sin^99 x+si...

    Text Solution

    |

  11. If x=4/9 satisfies the equation (log)a(x^2-x+2)>(log)a(-x^2+2x+3), the...

    Text Solution

    |

  12. If 4^x-2^(x+2)+5+||b-1|-3|-siny|, x , y , b in R , then the possible ...

    Text Solution

    |

  13. If f: N to N, and x(2) gt x(1) implies f(x(2)) gt f(x) AA x(1), x(2) i...

    Text Solution

    |

  14. Log f(x)=log((log)(1//3)((log)7(sinx+a))) be defined for every real va...

    Text Solution

    |

  15. Let f(x)=sin^(23)x-cos^(22)xa n dg(x)=1+1/2tan^(-1)|x| . Then the numb...

    Text Solution

    |

  16. Suppose that f(x) is a function of the form f(x) =(a x^8+b x^6+c x^4+...

    Text Solution

    |

  17. If f:(2,-oo) -> [8, oo) is a surjective function defined by f(x) = x^...

    Text Solution

    |

  18. Period of the function f(x)=sin((x)/(2))cos [(x)/(2)]-cos((x)/(2))s...

    Text Solution

    |

  19. If the interval x satisfying the equation [x] +[-x]=(log(3)(x-2))/(|...

    Text Solution

    |

  20. Let f(x) be a polynomial of degree 5 such that f(|x|)=0 has 8 real dis...

    Text Solution

    |