Home
Class 12
MATHS
The area of figure bounded by the curves...

The area of figure bounded by the curves `y=a^x(a gt 1) and y=b^-x (b gt 1)` and the straight line `x = 1` is (1) `1/(loga) (a-1)+1/(logb) (1/b-1)` (2) `loga(a-1)+logb(1/b-1)` (3) `1/(loga)(a-1)+1/(log b)(b-1)` (4) `loga(a-1)+logb.(b-1)`

A

`(1)/(log a)""(a-1) + (1)/(log b) ((1)/(b) - 1)`

B

log a (a - 1) + log `((1)/(b) - 1)`

C

`(1)/(log a) (a-1)+ (1)/(log b) (b-1)`

D

log (a-1) + log (b-1)

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    AAKASH INSTITUTE|Exercise Assignment Section - C Objective Type Questions (More than one options are correct)|3 Videos

  • APPLICATION OF INTEGRALS

    AAKASH INSTITUTE|Exercise Assignment Section - D Linked Comprehension Type Questions|3 Videos

  • APPLICATION OF INTEGRALS

    AAKASH INSTITUTE|Exercise Assignment Section - A Competition Level Questions|24 Videos

  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE|Exercise Assignment SECTION-J (Aakash Challengers Questions )|8 Videos

  • BINOMIAL THEOREM

    AAKASH INSTITUTE|Exercise Assignment (section-J) Objective type question (Aakash Challengers Questions)|4 Videos

Similar Questions

Explore conceptually related problems

The area of figure bounded by the curves y=a^(x)(a>1) and y=b^(-x)(b>1) and the straight line x=1 is (1)(1)/(log a)(a-1)+(1)/(log b)((1)/(b)-1)(2)log a(a-1)+log b((1)/(b)-1)(3)(1)/(log a)(a-1)+log b(b-1)(4)log a(a-1)+log b(b-1)

The area bounded by the curves y=|x|-1 and y=-|x|+1 is a.1b.2c2sqrt(2)d.4

Show that the curves y=a^(x) and y=b^(x), a gt b gt 0 intersect at an angle of tan^(-1) (|(log|(a)/(b)|)/(1+loga log b)|)

If the area bounded by the curve y=f(x), x-axis and the ordinates x=1 and x=b is (b-1) sin (3b+4), then-

If x = b/(a-b) and y=a/(a+b) , then the value of 1/x + 1/y is:

The area of the region bounded by 1-y^(2)=|x| and |x|+|y|=1 is (a)1/3(b)2/3(c)4/3(d)1

If a, b, c are in G.P. (a, b, c epsilon R') then (1)/(1+loga), (1)/(1+logb), (1)/(1+logc) are in