Skip to content
Philoid
Browse Saved
Back to chapter
Maths
15. Mean Value Theorems
Home · Class 12 · Maths · Ref. Book · 15. Mean Value Theorems
Prev
Next
Q8 of 96 Page 15

Mark the correct alternative in the following:

The value of c in Rolle’s theorem for the function defined on [–1, 0] is



Differentiating the function with respect to ‘x’,













Using Sridharacharya Formula,


In a general equation, ax2 + bx + c = 0






Є (-1, 0)


So the required value of Є (-1, 0).


Hence, Option (C) is the answer.

More from this chapter

All 96 →
6

Mark the correct alternative in the following:

The value of e in Rolle’s theorem show f(x) = 2x3 – 5x2 – 4x + 3, is x ϵ[1/3, 3]


7

Mark the correct alternative in the following:

`The value tangent to the curve y = x log x is parallel to the chord joining the points (1, 0) and (e, e), the value of is


9

Mark the correct alternative in the following:

The value of c in Lagrange’ mean value theorem for the function f(x) = x (x – 2) where x ϵ [1, 2] is


10

Mark the correct alternative in the following:

The value of c in Rolle’s theorem for the function f(x) = x3 – 3x in the interval is


Questions · 96
15. Mean Value Theorems
1 1 1 1 1 1 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 5 5 6 7 7 8 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 3 4 5 6 7 8 9 10 11 1 2 3 4 5 6 7 8 9 10 11 1 2 3 4 5 1 2 3 4 5 6 7 8 9 10 11 12 13 14
Back to chapter
ADVERTISEMENT
About Contact Privacy Terms
Philoid · 2026
  • Home
  • Search
  • Browse
  • Quiz
  • Saved