Home
Class 12
MATHS
If lim(x to 7) (18-[1-x])/([x]-3a) exist...

If `lim_(x to 7) (18-[1-x])/([x]-3a)` exist, then `a` is equal to

A

-6

B

6

C

7

D

-8

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos
  • JEE MAIN 2023

    JEE MAINS PREVIOUS YEAR|Exercise Question|435 Videos

Similar Questions

Explore conceptually related problems

verify the statement true or false.If lim_( x to a ) [f(x) g(x)] exists, then both lim_( x to a ) f(x) and lim_( x to a ) g (x) exist.

if lim_(x rarr0)((4x-1)^((1)/(3))+a+bx)/(x) exists and is equal to (1)/(3) then

If lim_(xrarroo) (8x^3+mx^2)^(1//3)-nx exists and is equal to 1 , then the vlaue of (m)/(n) is

lim_(x to 0) ((3^(x)-1)/(x)) is equal to

If 3^(x)-3^(x-1)=18 , then x^(x) is equal to

lim_(x to 2) (x^(7) - 128)/(x - 2) is equal to

If lim_(x rarr0)(x^(-3)sin3x+ax^(-2)+b) exists and is equal to 0 then

JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. If x^2/a^2+y^2/b^2=1 satisfies (4sqrt(2/5),3) and e=1/4 then, a^2+b^2 ...

    Text Solution

    |

  2. Cos ((2pi)/7) + cos ((4pi)/7) + cos ((6pi)/7) =

    Text Solution

    |

  3. If lim(x to 7) (18-[1-x])/([x]-3a) exist, then a is equal to

    Text Solution

    |

  4. abs((14,28,-14),(-14,14,28),(28,-14,14))=abs(adj(adj(A))), then abs(A)...

    Text Solution

    |

  5. The number of points where tangents are vertical or horizontal to curv...

    Text Solution

    |

  6. If two curves y=y1(x) and y=y2(x) satisfies differential equation dy/d...

    Text Solution

    |

  7. Number of all 3xx3 matrices formed by {1,-1,0} such that "Trace"(A A^T...

    Text Solution

    |

  8. If the coefficient of x^10 in (sqrtx/5^(1/4)+sqrt5/(x^(1/3)))^100 is 5...

    Text Solution

    |

  9. Let S={z in C:z^2+barz=0}, then sum(zinS) (Re(z)+Im(z)) is equal to

    Text Solution

    |

  10. The mean and variance of 10 observation are 15 & 15 respectively . If ...

    Text Solution

    |

  11. Let f(x)={(int0^x (5-abs(t-3))dt,x gt 4) ,(x^2+bx,xle4):} and f(x) is ...

    Text Solution

    |

  12. A person standing at a point on ground can see a point on a tower h me...

    Text Solution

    |

  13. Value of (2^3-1^3)/(1xx7)+(4^3-3^3+2^3-1^3)/(2xx11)+(6^3-5^3+4^3-3^3+2...

    Text Solution

    |

  14. int0^2(abs(2x^2-3x)+[x-1/2])dx , where [.]=GIF , is equal to

    Text Solution

    |

  15. If f(x)=sin^-1[2x^2-3]+log2(log(1/2)(x^2-5x+5)) where [.] is GIF then ...

    Text Solution

    |

  16. If T is a common tangent to the curve C1:x^2/4+y^2/9=1 , C2:x^2/42-y^2...

    Text Solution

    |

  17. If the length of the latus rectum of a parabola where focus is (a,a) a...

    Text Solution

    |

  18. If sum of infinite G.P whose first ter is a common ratio r is 5 and su...

    Text Solution

    |

  19. For a binomial probability distribution , sum and product of mean and ...

    Text Solution

    |

  20. f(x)=([729p(1+x)]^(1/7)-3)/([729(1+qx)]^(1/3)-9), and f(x) is continuo...

    Text Solution

    |