Home
Class 12
MATHS
Let f(x)=|2x^(2)+5|x|-3|,x in R .If "m" ...

Let `f(x)=|2x^(2)+5|x|-3|,x in R` .If "m" and "n" denote the number of points where "f" is not continuous and not differentiable respectively,then "m+n" is equal to:

A

0

B

2

C

5

D

3

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2024

    JEE MAINS PREVIOUS YEAR|Exercise Questions|18 Videos

  • JEE MAINS

    JEE MAINS PREVIOUS YEAR|Exercise Physics|30 Videos

Similar Questions

Explore conceptually related problems

Let f : R rarr R be a function defined as f(x) = {{:(3(1-(|x|)/(2)),"if",|x| le 2),(0,"if",|x| ge 2):} Let g : R rarr R be given by g(x) = ƒ(x + 2) – ƒ(x – 2) . If n and m denote the number of points in R where g is not continuous and not differentiable, respectively, then n + m is equal to _______.

Consider the function f:(0,oo)rarr R defined by f(x)=e^(-|log_(e)x|) .If m and n be respectively the number of points at which f is not continuous and f is not differentiable,then m+n is

if f(x)=lim_(n rarr oo)((1+sin x)^(n)+e^(x))/(1+(1+sin x)^(n)) where x in[-2 pi,2 pi], If p,q denotes number of values of x where f(x) is discontinuous and non-derivable respectively then 'p+q' is equal to

Let f(x)=sgn(x) and g(x)=x(1-x^(2)) The number of points at which f(g(x)) is not continuous and non-differentiable is

Let f(x)=|x|-1|, then points where,f(x) is not differentiable is/are

Let f(x)=abs(2x^2+5abs(x)-3) If m is the number of points where f(x) is discontinuous and m is the number of points where f(x) is non-differentiable then value of m+n is

If f(x)=lim_(n rarr oo)(x^(2n)-1)/(x^(2n)+1),x in R, the the the points where f(x) is not continuous are

If f(x)=|x^(2)-3x+2|+|sinx| then number of points where f(x) is not differentiable in [-pi,pi] is

Let f(x) = ||x|-1| , then points where, f(x) is not differentiable is/are

JEE MAINS PREVIOUS YEAR-JEE MAIN 2024 ACTUAL PAPER-Question
  1. The probability that Ajay will go to office is 1/5 and probability tha...

    Text Solution

    |

  2. Consider "10" observations x(1),x(2),...,x(10) such that sum(i=1)^(10)...

    Text Solution

    |

  3. Let f(x)=|2x^(2)+5|x|-3|,x in R .If "m" and "n" denote the number of p...

    Text Solution

    |

  4. Let f(x)={[x-1,x" is even,[2x,"x is odd"]:} in N .If for some a in N,f...

    Text Solution

    |

  5. The number of solutions of the equation 4sin^(2)x-4cos^(3)x+9-4cos x=0...

    Text Solution

    |

  6. The value of int0^1(2x^3-3x^2-x+1)^(1/3)dx is equal to

    Text Solution

    |

  7. Let the system of equations x+2y+3z=5,2x+3y+z=9,4x+3y+lambda z=mu have...

    Text Solution

    |

  8. Let alpha be a non-zero real number.Suppose f:R rarr R is a differenti...

    Text Solution

    |

  9. Consider a /ABC where A(1,3,2),B(-2,8,0) and C(3,6,7) .If the angle bi...

    Text Solution

    |

  10. Let S(n) denote the sum of the first "n" terms of an arithmetic progre...

    Text Solution

    |

  11. "P" be a point on the ellipse (x^(2))/(9)+(y^(2))/(4)=1 .Let the line ...

    Text Solution

    |

  12. If (dx)/(dy)=(1+x-y^(2))/(y),x(1)=1 ,then 5x(2) is equal to.

    Text Solution

    |

  13. If three successive terms of a G.P.with common ratio r(r>1) are the le...

    Text Solution

    |

  14. Let vec a= hat i+hat j+hat k,vec b=-hat i-8 hat j+2 hat k and vec c=4 ...

    Text Solution

    |

  15. Let A=I(2)-2MM^(T),where "M" is a real matrix of order 2times1 such th...

    Text Solution

    |

  16. The lines L(1),L(2),...,L(20) are distinct.For n=1,2,3,...,10 all the ...

    Text Solution

    |

  17. 3 point O(0,0),P(aa^2),Q(-b,b^2)(agt0,bgt0) are on the parabola y=x^2....

    Text Solution

    |

  18. If y=((sqrt(x)+1)(x^(2)-sqrt(x)))/(x sqrt(x)+x+sqrt(x))+(1)/(15)(3cos^...

    Text Solution

    |

  19. Let "ABC" be an isosceles triangle in which "A" is at (-1,0),/A=(2 pi)...

    Text Solution

    |

  20. f:(0,infty)rarrR and F(x)=int(0)^(x)t f(t)dt If F(x^(2))=x^(4)+x^(5)...

    Text Solution

    |