Home
Class 12
MATHS
If |{:(3^(2)+k,4^(2),3^(2)+3+k),(4^(2)+...

If `|{:(3^(2)+k,4^(2),3^(2)+3+k),(4^(2)+k,5^(2),4^(2)+4+k),(5^(2)+k,6^(2),5^(2)+5+k):}| =0, `then` sqrt(2^(k)sqrt(2^(k)sqrt(2^(k)cdotsoo)))` is _____

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    ARIHANT MATHS|Exercise Determinants Exercise 5:|5 Videos

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|7 Videos

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|18 Videos

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|37 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

Similar Questions

Explore conceptually related problems

If (d^(2)x)/(dy^(2)) ((dy)/(dx))^(3) + (d^(2) y)/(dx^(2)) = k , then k is equal to

If int (2^x)/(sqrt(1-4^(x)))dx = k sin^(-1) (2^(x))+C , then k is equal to :

If {:((1,2),(3,4)),((3,1),(2,5)),= ((7,11),(k,23)) , then write the value of 'k'

The value of sin^(-1) {( sin. pi/3) x/sqrt((x^(2) + k^(2) - kx))} - cos^(_1) {( cos. pi/6) x/sqrt((x^(2) + k^(2) - kx))}" , where" (k/2 lt x lt 2k, k gt 0) is

Let K be a positive real number and A=[(2k-1,2sqrt(k),2sqrt(k)),(2sqrt(k),1,-2k),(-2sqrt(k),2k,-1)] and B=[(0,2k-1,sqrt(k)),(1-2k,0,2),(-sqrt(k),-2sqrt(k),0)] . If det (adj A) + det (adj B) =10^(6) , then [k] is equal to ______ . [Note : adj M denotes the adjoint of a square matrix M and [k] denotes the largest integer less than or equal to k .]

If (1)/(sin20^(@)) + (1)/(sqrt(3)cos20^(@)) = 2kcos40^(@) , then 18k^(4) + 162k^(2) + 369 is divisible by

If (2,0) is a solutio of 2x+3y=k then k is

If A = {:[(3,sqrt3,2),(4,2,0)] and B = [(2,-1,2),(1,2,4)] , then verify that : (kB)' = kB', where k is any constant.

f(x)={((x^2-4)/(x-2),x!=2),(2k,x=2):} is continuous at x=2 then k=