Home
Class 12
MATHS
If f(x) = sqrt(1- sqrt(1-x^(2)), then at...

If `f(x) = sqrt(1- sqrt(1-x^(2))`, then at x = 0

A

f(x) is differentiable as well as continuous

B

f(x) is differentiable but not continuous

C

f(x) is continuous but not differentiable

D

f(x) is neither continuous nor differentiable

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 64

    NTA MOCK TESTS|Exercise MATHEMATICS |27 Videos

  • NTA TPC JEE MAIN TEST 66

    NTA MOCK TESTS|Exercise MATHEMATICS|30 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=In(sqrt(2-x)+sqrt(1+x)), then

If f(x)=sqrt(x+2sqrt(x))," then "f'(1)=

The function f(x)=sqrt(1-sqrt(1-x^(2)))

If f(x)=x(sqrt(x)-sqrt(x+1)) then f(x) is:

If f(x)=sqrt(2-x) and g(x)=sqrt(1-2x) ,then the domain of f[g(x)] is:

If f(x)=(sqrt(x)+(1)/(sqrt(x)))^(2)," then: "f'(2)=

If f(x) = tan^-1 {1/x (sqrt(1+x^2))} then f'(0) is

NTA MOCK TESTS-NTA TPC JEE MAIN TEST 65-MATHEMATICS
  1. If a vector vecr of magnitude 3sqrt(6) is directed along the bisector ...

    Text Solution

    |

  2. If y = sin^(-1) (2x)/(1+x^(2)), then which of the following is not co...

    Text Solution

    |

  3. If f(x) = sqrt(1- sqrt(1-x^(2)), then at x = 0

    Text Solution

    |

  4. The population of a country increases at the rate proportional to the ...

    Text Solution

    |

  5. int (x^(2)-2)/(x^(3)sqrt(x^(2)-1)) dx is equal to:

    Text Solution

    |

  6. Slope of normal to the ellipse at a point P is 3/4and eccentricity of ...

    Text Solution

    |

  7. If alpha + sin beta = 2018, alpha + 2018 cos beta = 2017, beta , then ...

    Text Solution

    |

  8. The values of tan^(-1) (9/19) + tan^(-1) (9/49) + tan^(-1)(9/97) equal...

    Text Solution

    |

  9. If from a pack of 52 well shuffled cards, cards are drawn one by one w...

    Text Solution

    |

  10. Let f(x) = g(1)x^(2) + xg'(x) + g''(x) and g(x) =x^(2) + xf'(1) + f''(...

    Text Solution

    |

  11. The mean and median of 100 items are 50 and 52 respectively with large...

    Text Solution

    |

  12. Which of the following is equivalent to p vee -(p to q), where p & q...

    Text Solution

    |

  13. A possible value of for which the system of equations 2x - 3y + 6z -...

    Text Solution

    |

  14. If Pn denotes the product of all the coefficient in the expansion of (...

    Text Solution

    |

  15. If a and £ are the roots of the quadratic equation. x^(2) - a(x+1) - b...

    Text Solution

    |

  16. The tangent at a point on the hyperbola x^(2)/a^(2) - y^(2)/b^(2) =1 m...

    Text Solution

    |

  17. If the angle between the line joining the points (3, -1) & (4, -2) and...

    Text Solution

    |

  18. Consider the curve 4/(cos x + 1/(1- cos x), where x in (-pi/2, 0) cup ...

    Text Solution

    |

  19. The value of lim(x to infty) (sqrt(3x^(2) + sqrt(3x^(2) + sqrt(3x^(2))...

    Text Solution

    |

  20. If int(0)^(pi) (|cos x|)^(3) dx = (k +1)/k, where k gt 0, then the val...

    Text Solution

    |