Home
Class 12
MATHS
If : f(x) {: (=(x^(2)+3x-10)/(x^(2)+2x-1...

If : f(x) `{: (=(x^(2)+3x-10)/(x^(2)+2x-15)", ... "x!= -5 ),(=a", ... "x = -5 ):}` is continuous at x = 5 , then : a =

A

`3/2`

B

`7/8`

C

`8/7`

D

`2/3`

Text Solution

Verified by Experts

The correct Answer is:
b
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|11 Videos

  • DIFFERENTIAL EQUATIONS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|14 Videos

Similar Questions

Explore conceptually related problems

If f(x) = {((x^(2)+3x-10)/(x^(2)+2x-15),",", "when"x != -5),(a,",", "when"x = -5):} is continuous at x = -5, then the value of 'a' will be

If f(x)= {:(2x^(2)-3", ... if " x lt2 ),(5ax ", ... if " x ge 2 ) :} is continuous at x = 2 , then : a =

f(x) = {{:((2x^(2)-3x-2)/(x-2), if x ne 2), (5, if x = 2):} at x = 2 .

f(x) = {(3x-8,",", "if"x le 5),(2k,",", "if"x gt 5):} is continuous at x = 5, find k.

f(x) ={((x^2-9)/(x-3)+a,",",x gt 3),(5, ",",x = 3),(2x^2+3x+b, ",",x lt 3):} is continuous at x = 3, then

(x + 2) ( x- 5) = x^(2) - 3x + 10

If f(x)=(x^(3)+3x+5)/(x^(3)-3x+2) in [0, 5], then f is

If f(x)= {:{((x^(2) + 3x+p)/(2(x^(2)-1)) , xne 1),(5/4, x = 1):} is continuous at x =1 then

If f(x)=(x^(2)-10x+25)/(x^(2)-7x+10) for x!=5 is continuous at x=5 then f(5)=

f(x)={{:((x^(2)-25)/(x-5)",","when",x ne 5),( 10",", "when",x=5):} is continuous at x =5

MARVEL PUBLICATION-CONTINUITY F FUNCTIONS-MULTIPLE CHOICE QUESTIONS
  1. If : f(x) {:(=ax^(2)-b", ... " 0 le x lt 1 ),(=2", ...

    Text Solution

    |

  2. If : f(x) {:(=x^(2)", ... "x le 1 ),(= x+5 ", ... "...

    Text Solution

    |

  3. If : f(x) {: (=(x^(2)+3x-10)/(x^(2)+2x-15)", ... "x!= -5 ),(=a", ...

    Text Solution

    |

  4. If : f(x) {:( =x+lambda", ... " x lt 3),(=4", ... " ...

    Text Solution

    |

  5. If the function f(x) {:(= 1+sin. ((pix)/2)", ..." -ooltxle1 ),(=...

    Text Solution

    |

  6. The function f(x) {:(= x+2", ... " 1 lex le 2 ),(=4 ", ...

    Text Solution

    |

  7. In order that the function f(x) = (x+1)^(cot x) is continuous at x=0 ,...

    Text Solution

    |

  8. f:R->R is defined by f(x)={(cos3x-cosx)/(x^2), x!=0lambda, x=0 and f ...

    Text Solution

    |

  9. Function f(x) = (1-cos 4x)//(8x^(2)), " where " x != 0 , and f(x) = k...

    Text Solution

    |

  10. If : f(x) {: ((1-sin x)/(pi-2x)", ... " x != pi//2 ),(=lambda ",...

    Text Solution

    |

  11. If f(x)=(sqrt(a^2-a x+x^2)-sqrt(a^2+a x+x^2))/(sqrt(a+x)-sqrt(a-x)) is...

    Text Solution

    |

  12. If S(1)= sum(r=1)^(n) r , S(2) = sum(r=1)^(n) r^(2),S(3) = sum(r=1)^(n...

    Text Solution

    |

  13. underset(x to (pi)/(2))(lim)(a^(cot x) -a^(cosx))/(cot x- cot x ) is ...

    Text Solution

    |

  14. lim (x to oo) (1-4/(x-1))^(3x-1)=

    Text Solution

    |

  15. If alpha is not an integral multiple of pi , then : lim(x to alpha)...

    Text Solution

    |

  16. lim(h -> 0) (sin(a+3h)-3sin(a+2h)+3sin(a+h)-sina)/h^3 =

    Text Solution

    |

  17. lim (x to n ) (-1)^([x])=

    Text Solution

    |

  18. Evaluate: ("lim")(hvec0)(2[sqrt(3)sin(pi/6+h)-cos(pi/6+h)])/(sqrt(3)h(...

    Text Solution

    |

  19. If f(x) = 0 is a quadratic equation such that f(-pi) =f(pi) = 0 and f(...

    Text Solution

    |

  20. f(x)={((8^x-4^x-2^x+1)/x^2, ;xgt0),(e^xsinx+pix+lambda.ln4,;xle0):} ...

    Text Solution

    |