Home
Class 12
MATHS
If f(x)=1/((x-1)(x-2)) and g(x)=1/x^2 th...

If `f(x)=1/((x-1)(x-2))` and `g(x)=1/x^2` then points of discontinuity of `f(g(x))` are

A

`{-1, 0, 1, (1)/(sqrt2)}`

B

`{(-1)/(sqrt2), -1, 0, 1, (1)/(sqrt2)}`

C

`{0, 1}`

D

`{0, 1, (1)/(sqrt2)}`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TIPS

    FIITJEE|Exercise PARAGRAPH BASED (MULTIPLE CHOICE) (COMPREHENSION - I)|39 Videos

  • TIPS

    FIITJEE|Exercise NUMERICAL BASED QUESTIONS|23 Videos

  • TIPS

    FIITJEE|Exercise ASSERTION REASONING|8 Videos

  • TEST PAPERS

    FIITJEE|Exercise MATHEMATICS|328 Videos

  • TRIGNOMETRIC RATIOS AND IDENTITIES

    FIITJEE|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

Find the points of discontinuity of f(x)=(1)/(2sin x-1)

If f(x)=(1)/(x-1) and g(x)=(x-2)/(x+3), then number of points of discontinuity in f(g(x))is(1)1(2)2(3)3(4)4

If f(x)=(x+1)/(x-1) and g(x)=(1)/(x-2), then discuss the continuity of f(x),g(x), and fog (x)

If f(x) = sgn (x) and g (x) = (1-x^2) ,then the number of points of discontinuity of function f (g (x)) is -

If f(x)=(1)/((1-x)) and g(x)=f[f{f(x))} then g(x) is discontinuous at

If alpha, beta (where alpha lt beta ) are the points of discontinuity of the function g(x) = f(f(f(x))), where f(x) = (1)/(1-x). Then, The points of discontinuity of g(x) is

If f(x) = (x + 1)/(x-1) and g(x) = (1)/(x-2) , then (fog)(x) is discontinuous at

If f(x)={(x,,,0lexle1),(2-x,,,1ltxle2):} then point of discontinuity fo f(f(x)) is [0,2] is,

Let f (x)= signum (x) and g (x) =x (x ^(2) -10x+21), then the number of points of discontinuity of f [g (x)] is

Let g(x)=f(f(x)) where f(x)={1+x;0<=x<=2} and f(x)={3-x;2

FIITJEE-TIPS-MCQ (MULTIPLE CORRECT)
  1. Which of the following is/are a contradiction ?

    Text Solution

    |

  2. The curve u=a sqrtx+bx passes through the point (1, 2) and the area en...

    Text Solution

    |

  3. The area bounded by the curve y=x^(4)-2x^(3)+x^(2)+3 with x-axis and o...

    Text Solution

    |

  4. Let y = (A + Bx) e^(3x) is a solution of the differential equation(d^2...

    Text Solution

    |

  5. ((dy)/(dx))^(2) + 2y cot x (dy)/(dx) = y^(2) has the solution

    Text Solution

    |

  6. The differential equation of the curve for which the initial ordina...

    Text Solution

    |

  7. Solution of the differential equation : (3tan x=4 cot y-7)sin^(2)ydx...

    Text Solution

    |

  8. If f(x)=1/((x-1)(x-2)) and g(x)=1/x^2 then points of discontinuity of ...

    Text Solution

    |

  9. Let f(x)={{:(int(0)^(x)(5+|1-t|)dt","," if "xgt 2),(5x+1","," if "x le...

    Text Solution

    |

  10. If f'(x) gt f(x)" for all "x ge 1 and f(1)=0, then

    Text Solution

    |

  11. The values of a which the integral int|x-a|dx ge 1 is satisfied are

    Text Solution

    |

  12. If a point P moves inside a equilateral triangle of side length a such...

    Text Solution

    |

  13. The solution of ((dy)/(dx))^(2)-2(x+(1)/(4x))(dy)/(dx)+1=0

    Text Solution

    |

  14. If the equation x^(5)-10a^(3)x^(2)+b^(4)x+c^(5)=0 has three equal root...

    Text Solution

    |

  15. Let S be the set of real values of parameter lamda for which the equat...

    Text Solution

    |

  16. Let A(n)=sum(r=1)^(n)cos^(-1).(r )/(n) and B(n)=sum(r=0)^(n-1)cos^(-1)...

    Text Solution

    |

  17. If int (-alpha) ^(alpha ) (e ^(x) + cos x ln (x + sqrt(1+x ^(2))))dx g...

    Text Solution

    |

  18. Let T be the triangle with vertices (0,0), (0,c^2 )and (c, c^2) and le...

    Text Solution

    |

  19. The differential equation for the family of curves y = c\ sinx can be ...

    Text Solution

    |

  20. The normal at a general point (a, b) on curve makes an angle theta wit...

    Text Solution

    |