Home
Class 12
MATHS
Let f(x)={x^2-4x+3,x<3 and x-4,xgeq3...

Let `f(x)={x^2-4x+3,x<3 and x-4,xgeq3 }a n d` `g(x)={1,x<1 and x^2-x,1lt=x<4 and x-3,xgeq4` then function `f(x)dotg(x)` is discontinuous at (a)exactly 1 point (b) exactly 2 points (c)exactly 3 points (d) None of these

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

The function f(x) : (x-1)/(x( x^(2) -1)) is discontinuous at (a) exactly one point (b) exactly two points (c) exactly three points (d) no point

The function f(x)=|x|-2| is not derivable at( (1) exactly one point (2) exactly two point (3) exactly three point (4) exactly four point

The function f(x)=(4-x^(2))/(|4x-x^(3)|) is (a)discontinuous at only one point (b) Discontinuous at exactly two points (c) Discontinuous at exactly three points none of these

The function f(x)=(4-x^(2))/(4x-x^(3)) a)discontinuous at only one point b) discontinuous exactly at two point b) c)discontinuous exactly at two points of these

Let f(x)={x^2-4x+3, ,x<3x-4,xgeq3a n dg(x)={x-3,x<4x^2+2x+2,xgeq4 Describe the function f/g and find its domain.

Let f(x)={{:(,|x|-3,x lt 1),(,|x-2|+a,x ge 1):} g(x)={{:(,2-|x|,x lt 1),(,Sgn(x)-b,x ge 1):} If h(x)=f(x)+g(x) is discontinuous at exactly one point, then which of the following are correct?

If f(x)={|x|-3 x = 1 & g(x)={2-|x| x = 2. if h(x)=f(x)+g(x) is discontinuous at exactly one point, then -

Let f(x)={(x^(2)-4x+3",",x lt 3),(x-4",",x ge 3):} and g(x)={(x-3",",x lt 4),(x^(2)+2x+2",",x ge 4):} . Describe the function f//g and find its domain.

f(x)={x+2, 0lt=x<2 and 6-x , xgeq2 and g(x)={1+tanx , 0 leq x lt pi/4 and 3-cotx , pi/4 leq x lt pi . find fog and discuss the continuity and differentiabillity of fog.

(x-1) / (x ^ (2) -4x + 3) <1

RESONANCE DPP-JEE MAINS-All Questions
  1. If x is real and Delta(x)=|[x^2+x, 2x-1, x+3] , [3x+1, 2+x^2, x^2-3] ,...

    Text Solution

    |

  2. The sides of a triangle are the straight lines x+y=1,7y=x , and sqrt(...

    Text Solution

    |

  3. Let f(x)={x^2-4x+3,x&lt;3 and x-4,xgeq3 }a n d g(x)={1,x&lt;1 and ...

    Text Solution

    |

  4. The equation of perpendicular bisectors of the side AB and AC of a tri...

    Text Solution

    |

  5. If vec a= vec b+ vec c , vec bx vec dC= vec0 and vec cdot vec d=0 th...

    Text Solution

    |

  6. A rectangle PQRS has its side PQ parallel to the line y= mx and verti...

    Text Solution

    |

  7. Let f(x)=max{|x^2-2|x| |, |x|} and g(x)=min{|x^2-2|x| |, |x|} then pro...

    Text Solution

    |

  8. If alpha,beta be the roots of the equation (x-a)(x-b)+c=0(c!=0), then ...

    Text Solution

    |

  9. int(sinxcosx)/(sqrt(1-sin^4x)).dx

    Text Solution

    |

  10. If A+B+C=pi , then the value of the determinant D=|sin^2AcotA1sin^2Bc...

    Text Solution

    |

  11. lim(x->oo)(sqrt(x^4+ax^3+3x^2+b x+2)-sqrt(x^4+2x^3+cx^2+3x-d))=4

    Text Solution

    |

  12. For all real value of x , the maximum value of the expression x/(x^2-5...

    Text Solution

    |

  13. If minimum of f(x)=(a)/(x)+bx at x=2 is 2, then (a, b) -=….

    Text Solution

    |

  14. STATEMENT-1 : The graph of y=[sqrt(1-cos2x]) consists of only two line...

    Text Solution

    |

  15. P is a point on the line through the point A whose position vector i...

    Text Solution

    |

  16. ABC is an isosceles triangle. If the co-ordinates of the base are (1, ...

    Text Solution

    |

  17. lim(x->0) (1-cos x cos 2x cos 3x)/ (sin^2 2x) is equal to a) 3/4 b)...

    Text Solution

    |

  18. The straight line x-y-2=0 cuts the axis of x at Adot It is rotated ...

    Text Solution

    |

  19. The value of sin^(-1){cot(sin^(-1)sqrt((2-sqrt(3))/4)+cos^(-1)(sqrt(1...

    Text Solution

    |

  20. The number solution of the equation sgn(x^2)=|x-2| is 1 (b) 0 (c) 2...

    Text Solution

    |