Home
Class 12
MATHS
Let f: (-1,1)toR be a function defind by...

Let `f: (-1,1)toR` be a function defind by f(x) =max. `{-absx,-sqrt(1-x^2)}`. If K is the set of all points at which f is not differentiable, then K has set of all points at which f is not differentible, then K has exactly

A

one element

B

two elements

C

five elements

D

three elements

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 86

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
  • NTA JEE MOCK TEST 88

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

The set of all points where f(x)=2x|x| is differentiable

Let f , R to R be a function defined by f(x) = max {x,x^(2)} . Let S denote the set of all point in R , where f is not differnetiable Then :

If f:R rarr R is defined by f(x)=max{x,x^(3)} .The set of all points where f(x) is not differentiable is

Let f:[-1,1] to R be a function defined by f(x)={x^(2)|cos((pi)/(x))| "for" x ne 0, "for "x=0 , The set of points where f is not differentiable is

Let f : R to R be a function defined by f(x) = max. {x, x^(3)} . The set of all points where f(x) is NOT differenctiable is (a) {-1, 1} (b) {-1, 0} (c ) {0, 1} (d) {-1, 0, 1}

NTA MOCK TESTS-NTA JEE MOCK TEST 87-MATHEMATICS
  1. Let A=[(-4, -3, -3),(1, a, 1),(4, b, 3)] and A=A^(-1), then a+2b is eq...

    Text Solution

    |

  2. An unbiased die is rolled n times. Let P(A), P(B) and P(C ) be the pro...

    Text Solution

    |

  3. Let A=[a(ij)](3xx3) be a square matrix such that A A^(T)=4I, |A| lt 0....

    Text Solution

    |

  4. If the lines (x-3)/(2)=(y-5)/(2)=(z-4)/(lambda) and (x-2)/(lambda)=(y-...

    Text Solution

    |

  5. Let f: (-1,1)toR be a function defind by f(x) =max. {-absx,-sqrt(1-x^2...

    Text Solution

    |

  6. Number of ordered pairs (a, x) satisfying the equation sec^2(a+2)x+a^2...

    Text Solution

    |

  7. Which of the following option is incorrect?

    Text Solution

    |

  8. The value of 2cos^(-1)sqrt((2)/(3))-2cos^(-1).(sqrt6+1)/(2sqrt3) is eq...

    Text Solution

    |

  9. If a tangent drawn at P(alpha, alpha^(3)) to the curve y=x^(3) meets i...

    Text Solution

    |

  10. The slope of normal at any point P of a curve (lying in the first quad...

    Text Solution

    |

  11. A shopkeeper has 11 copies each of nine different books, then the numb...

    Text Solution

    |

  12. Let |z(1)|=3, |z(2)|=2 and z(1)+z(2)+z(3)=3+4i. If the real part of (...

    Text Solution

    |

  13. From a point P, two tangents PA and PB are drawn to the hyperbola (x^(...

    Text Solution

    |

  14. If sin 2A=(1)/(2) and sin 2B=-(1)/(2), then which of the following is ...

    Text Solution

    |

  15. Let B and C are the points of intersection of the parabola x=y^(2) and...

    Text Solution

    |

  16. If the tenth term of the sequence S=1+5+13+29+…… is k, then (k)/(500)...

    Text Solution

    |

  17. In a DeltaABC, the sides BC, CA and AB are consecutive positive intege...

    Text Solution

    |

  18. The value of lim(xrarr(5pi)/(4))(cot^(3)x-tanx)/(cos(x-(5pi)/(4))) is ...

    Text Solution

    |

  19. The area bounded by f(x)={{:(sin(2x),x ge 0),(cos(2x),xlt0):} with the...

    Text Solution

    |

  20. Let in DeltaABC the coordinates of A are (0, 0). Internal angle bisect...

    Text Solution

    |