Home
Class 12
MATHS
Find the realtionship between a and b so...

Find the realtionship between a and b so that the function defined by `f(x)={{:(,ax+1,x le 3),(,bx+3, x gt 3):}" is continuous at x=3"`

A

`a- b = 3`

B

`a + b = 2`

C

`a - b = (2)/(3)`

D

`a + b = (3)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER - 5

    EDUCART PUBLICATION|Exercise Section - B|20 Videos
  • SAMPLE PAPER - 5

    EDUCART PUBLICATION|Exercise Section - C|10 Videos
  • SAMPLE PAPER (SELF-ASSESSMENT) -10

    EDUCART PUBLICATION|Exercise SECTION - C|5 Videos
  • SAMPLE PAPER 09

    EDUCART PUBLICATION|Exercise SECTIONS-C|8 Videos

Similar Questions

Explore conceptually related problems

Find the relationship between a and b so that the function 'f' defined by f(x)={a x+1,ifxlt=3b x+3,ifx<3 is continuous at x=3.

Find the relationship between a and b so that the function f defined by: f(x)={a x+1b x+3 "if" x lt=3"if" x >3

Find the relationship between a and b so that the function f defined by f(x)=ax+1, if x 3 is continuous at x=3.

Find the relationship between a and b so that the function f defined by x 3 is continuous at x=3 .

Is the function f defined by f(x)={{:(x, if x le 1),(5, if x gt 1):} continuous at x = 0? At x = 2 ?

Find the value of k, so that the function f(x) = {(kx^2 + 5, if x le 1), (2, if x gt 1):} is continuous at x = 1

Find the value of k, so that the function f(x) = {(kx^2 + 5, if x le 1), (2, if x gt 1):} is continuous at x = 1

The function f(x)= {(2 ax ", " x ge 3 ),( 3x +1 ", " x gt 3):} continuous at x= 3, then a =?

Find the relationship between ' a ' and ' b ' so that the function 'f' defined by f(x)={a x+1\ \ \ ,\ \ \ if\ xlt=3b x+3\ \ \ ,\ \ \ if\ x >3 is continuous at x=3 .

Examine the continuity of f(x) = {(2x+1,x le 0),(1-3x,x gt 0):} is continuous at x=0