Home
Class 11
MATHS
If y=sqrt(e^(sin^(-1)(log2x^2) , then y ...

If `y=sqrt(e^(sin^(-1)(log_2x^2)` , then y is real if

A

`x in R-{0}`

B

`x in[-sqrt2,sqrt2]`

C

`x in(-infty,-1/sqrt2]cup[1/sqrt2,infty]`

D

`x in[-sqrt2,-1/sqrt2]cup[1/sqrt2,sqrt2]`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DERIVATIVES

    PATHFINDER|Exercise QUESTION BANK|81 Videos

  • FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|66 Videos

Similar Questions

Explore conceptually related problems

Find the domain of the following function : f(x) = sqrt(sin^(-1)(log_2x)) + sqrt(cos (sinx)) + Sin^(1-)((1 + x^2)/(2x))

If y=e^(sqrt(x))+e^(-sqrt(x)) , then (dy)/(dx) is equal to (a) (e^(sqrt(x)))/(2sqrt(x)) (b) (e^(sqrt(x))-e^(-sqrt(x)))/(2sqrtx) (c) 1/(2sqrt(x))sqrt(y^2-4) (d) 1/(2sqrt(x))sqrt(y^2+4)

If y=e^(m sin^(-1)x) , then the value of [(d^(2)y)/(dx^(2))]_(x=0) is -

If y=(sin^(-1) x)/(sqrt(1-x^2)) , then show that (1-x^2)(d^2y)/(dx^2)-3x(dy)/(dx)-y=0 .

answer the foll. Questions: (i) if y=(sin^(-1)x)/(sqrt(1-x^2)) , then show that (1-x^2) (d^2y)/dx^2-3x dy/dx -y=0

"If "log_(e)(log_(e) x-log_(e)y)=e^(x^(2_(y)))(1-log_(e)x)," then find the value of "y'(e).

If y=sqrt(log{sin((x^2)/3-1)}) , t h e n find (dy)/(dx)dot

If (sqrt(1-x^2))y= sin^(-1)x then show that (1-x^2)y_2-3xy_1-y =0

If y= 2^((1)/(log_(x)4)) then prove that x=y^(2) .

Let y=sqrt(((x+1)(x-3))/((x-2))) . Find all the real values of x for which y takes real values.

PATHFINDER-FUNCTION-QUESTION BANK
  1. The number of points (x, y), where the curves |y| = In|x| and (x-1)^2+...

    Text Solution

    |

  2. Let f(x)=[1/2+n/100], where [.] denotes the greatest integer function,...

    Text Solution

    |

  3. If y=sqrt(e^(sin^(-1)(log2x^2) , then y is real if

    Text Solution

    |

  4. If [2sinx]+[cosx]=-3 then the range of the function f(x)=sinx+sqrt3cos...

    Text Solution

    |

  5. If F(x+1)=(2F(x)+1)/2, n = 1,2,3…..and F(1) = 2 then F(101)

    Text Solution

    |

  6. If f : R to R satisfies f(x + y)=f(x)+f(y) for all x, y in R and f(1)=...

    Text Solution

    |

  7. If f(x+y,x-y)=xy then the arithmetic mean of f(y, x) & f(x,y)

    Text Solution

    |

  8. f(x)=sqrt([sin2x]-[cos2x]) :[.]GIF, then range of f(x)

    Text Solution

    |

  9. If f(x) = {(x^2, "for", x ge 0), (x, "for", x lt 0):} then fof(x) ...

    Text Solution

    |

  10. Domain of f(x) is [-1, 2] then domain of f([x] - x^2 + 4) where [.] de...

    Text Solution

    |

  11. Number of solution of the equation x^2 -2 -2[x] = 0 ([.] denotes the g...

    Text Solution

    |

  12. Let Sn = underset (t = 1) overset n sum r!(n gt 6), then Sn - 7[Sn/7] ...

    Text Solution

    |

  13. Range of f(x) = [1 + sin x] + [2 + sin fracx2] + [3 + sin frac x3] +.....

    Text Solution

    |

  14. The number of solutions of log(sin x) 2^(tan x) gt 0 in the interval ...

    Text Solution

    |

  15. If f(x) =ln ((x^2 + e)/(x^2 + 1)), then range of f(x) is

    Text Solution

    |

  16. If f(x) = {x} + sin ax (where {.} denotes the fractional part function...

    Text Solution

    |

  17. The value of a for which the range of the function f(x) = (x - 1)/(1 -...

    Text Solution

    |

  18. If the graph of the function f(x) is symmetrical about two lines x = a...

    Text Solution

    |

  19. If f(x) = 27x^3 + 1/x^3 and alpha, beta are the roots of 3x + 1/x = 2 ...

    Text Solution

    |

  20. If A= {x:pi/6 le x le pi/3} and f(x) = cosx - x(1 + x) then f(A) is eq...

    Text Solution

    |