Home
Class 12
MATHS
If f is defined by f (x) = {:{ (x , " ...

If f is defined by ` f (x) = {:{ (x , " for " 0 le x lt 1) , ( 2 -x , " for " x le 1 ) :}` then at x =1

A

continuous and differentiable

B

continuous but not differentiable

C

discontinuous but differentiable

D

neither continuous nor differentiable

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ONLINE QUESTION PAPER 2018

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|318 Videos

  • QUESTION PAPER 2019

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise Mathematics|160 Videos

Similar Questions

Explore conceptually related problems

If f(x)={{:(x^(2) " for " 0 le x le 1),(sqrt(x) " for "1 le x le 2):} then int_(0)^(2) f(x)dx=

If the function f is defined by f (x) = {x^(2){:( 3x- 2 "," x gt 3), (-2"," -2 le x le 2), (2 x + 1 "," x lt -3):} then find the values, if exist, of f (-2), f(-4), f (-7).

Suppose f:[-2, 2] rarr RR is defined by f(x)={{:(-1" for "-2 le x le 0),(x-1" for "0le xle 2):} , then {x in [-2, 2]: x le 0 and f(|x|)=x}=

f(x) = {{:(x " if " x le 1),(log x " if " x gt 1 ):} " then f (x) at x = 1 is "

If the function f is defined by f(x) = {{:(x+2, x gt 1),(2, -1 le x le 1),(x-1, -3 lt x lt -1):} , then find the value of: (i) f(3), (ii) f(0), (iii) f(-1.5) , (iv) f(2) + f(-2) , (v) f(-5)

TS EAMCET PREVIOUS YEAR PAPERS-QUESTION PAPER 2015-MATHEMATICS
  1. If g(x)=(x)/([x]) for x>2, then lim(xrarr2)(g(x)-g(2))/(x-2) is equal ...

    Text Solution

    |

  2. lim(xrarrpi/2)((2x-pi)/(cosx)) is equal to

    Text Solution

    |

  3. If f is defined by f (x) = {:{ (x , " for " 0 le x lt 1) , ( 2 -x ,...

    Text Solution

    |

  4. If x^(2)+y^(2)=t+(1)/(t) "and" x^(4)+y^(4)=t^(2)+(1)/(t^2), "then" (dy...

    Text Solution

    |

  5. If x = at^(2) and y = 2 at, then (d^(2)y)/(dx^(2)) at t = (1)/(2) is

    Text Solution

    |

  6. The volume of a sphere is increasing at the rate of 1200 c.cm/sec. The...

    Text Solution

    |

  7. The slope of the tangent to the curve y=int(0)^(x)(1)/(1+t^3)dt at th...

    Text Solution

    |

  8. If x^2+y^2=25 then log5[max(3x+4y)] is

    Text Solution

    |

  9. int (dx)/((x-1)sqrt(x^(2)-1))=

    Text Solution

    |

  10. int (e^(x)(x^(2)+1))/((1+x)^(2))dx=

    Text Solution

    |

  11. int ((x+1)dx)/(x(1+xe^(x)))=

    Text Solution

    |

  12. int(f(x)g'(x)-f'(x)g(x))/(f(x)g(x)) [ log (g(x))-log(f(x))]dx=

    Text Solution

    |

  13. int(0)^(pi//4)(sinx+cosx)/(3+sin2x)dx=

    Text Solution

    |

  14. int(-1)^(1)(sqrt(1+x+x^(2))-sqrt(1-x+x^(2)))/(sqrt(1+x+x^(2))+sqrt(1-x...

    Text Solution

    |

  15. The area of the region described by {(x,y)//x^(2)+y^(2)le1 "and" y^(2)...

    Text Solution

    |

  16. The solution of (dy)/(dx) + (1)/(x) = (e^(y))/(x^(2)) is

    Text Solution

    |

  17. The differential equation (dy)/(dx) = (1)/(ax + by + c) where a,b,c a...

    Text Solution

    |

  18. ((1+cos""(pi)/(8)-isin""(pi)/(8))/(1+cos""(pi)/(8)+isin""(pi)/(8)))^(8...

    Text Solution

    |

  19. The number of four-digit numbers formed by using the digits 0,2,4,5 an...

    Text Solution

    |

  20. If x=(1)/(5)+(1.3)/(5.10)+(1.3.5)/(5.10.15)+….oo then find 3x^(2)+6x.

    Text Solution

    |