JEE Main 27-Jan-2024 Shift 1 Solved Paper

Section: Mathematics

Question : 13 of 90

Marks: +1, -0

Consider the function. f(x)={

‌

a(7x−12−x2)

b|x2−7x+12|

,‌x<3

2‌

sin‌(x−3)

x−[x]

,‌x>3

,‌x=3

.
Where [x] denotes the greatest integer less than or equal to x . If S denotes the set of all ordered pairs (a,b) such that f(x) is continuous at x=3 , then the number of elements in S is :

[27-Jan-2024 Shift 1]

2
Infinitely many
4
1

Validate

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