RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 9. Continuity

Subject: Maths - Class 12th

Q. No. 46 of Exercise 9.1

Listen NCERT Audio Books to boost your productivity and retention power by 2X.

46

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

we have to find the value of 'a' & 'b'


Given:


f(x) is continuous at x = 3


If f(x) is be continuous at x = 3,then,f(3) = f(3) + = f(3)


LHL = f(3) =




3a – 0 × a + 1


3a + 1 .....(1)


LHL = f(3) + =




3b – 0 × b + 3


3b + 3 ...(2)


Since ,f(x) is continuous at x = 3 and From (1) & (2),we get


3a + 1 = 3b + 3


3a + 3b = 3 – 1


3a + 3b = 2


3(a + b) = 2


(a + b) =


Chapter Exercises

More Exercise Questions