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
Q7 of 96 Page 15

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


y = x log x


Differentiating the function with respect to ‘x’,



Slope of tangent to the curve = 1 + log x


And, slope of the chord joining the points, (1, 0) & (e, e)



The tangent to the curve is parallel to the chord joining the points, (1, 0) & (e, e)


m = 1 + log x







Hence, Option (A) is the answer.

More from this chapter

All 96 →
5

Mark the correct alternative in the following:

Rolle’s theorem is applicable in case of ϕ (x) = asinx, a > 0 in


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]


8

Mark the correct alternative in the following:

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


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