Home
Class 12
MATHS
If A=[{:(a,0,0),(0,b,0),(0,0,c):}], a=7^...

If `A=[{:(a,0,0),(0,b,0),(0,0,c):}], a=7^(x), b=7^(7^(x)), c=7^(7^(7^(x))), " then " intabs(A)dx, " where " abs(A)` is the determinant of the matrix A, equals

A

`7^(7^(x))/(log7)^(3)+c`

B

`7^(7^(7^(x)))/(log7)+c`

C

`7^(7^(7^(x))).(log7)^(3)+c`

D

`(7^(7^(7^(x))))/(log7)^(3)+c`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|165 Videos

  • INTEGRATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|29 Videos

  • INTEGRATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|29 Videos

  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|30 Videos

  • LINE

    TARGET PUBLICATION|Exercise Evaluation Test|1 Videos

Similar Questions

Explore conceptually related problems

The matrix A = [(0,0,-7),(0,-7,0),(-7,0,0)] is a

If A(adj A) = ((7k,0,0), (0,7k,0),(0,0,7k)) then find |adjA|.

The value of int_a^b (x^7+sinx)/(cos x) dx where a+b=0 is

The Matrix [[5,0,0],[0,7,0],[0,0,8]] is

If [{:(x, 0), (0, y):}] + [{:(-y, 4),(7, x):}] = [{:(4, 4), (7, 6):}] then x = ____ and y=___.

If a+b+c=0" and "abs(a)=3, abs(b)=5" and "abs(c)=7 then the angle between a and b is

Let A=[(2,0,7),(0,1,0),(1,-2,1)] and B=[(-k,14k,7k),(0,1,0),(k,-4k,-2k)] . If AB=I , where I is an identity matrix of order 3, then the sum of all elements of matrix B is equal to

Assertion (A) [(7,0,0),(0,7,0),(0,0,7)] is a scalar matrix Reason (R) : if all the elements of the principal diagonal are equal, it is called a scalar matrix

if I=int_(0)^(1.7)[x^(2)]dx, then I equal is