✕
  1. Tardigrade
  2. Question
  3. Mathematics
  4. Let x ∈ ℝ and let P = [1&1&1 0&2&2 0&0&3], Q = [2&x&x 0&4&0 x&x&6] and R = PQP-1. Then which of the following options is/are correct?

Q. Let and let
and .
Then which of the following options is/are correct?

JEE Advanced JEE Advanced 2019 Report Error

Solution:

det() = det() = (det )(det)
det

Option-1 :
for det
for equation
We will have trivial solution

Option-2 :



No value of x.
Option-3 :
det

Option-4 :





Questions from JEE Advanced 2019

1. Let be given by

Then which of the following options is/are correct?

2. Let f : ℝ ℝ be given by f(x) = (x - 1)(x - 2)(x - 5). Define

Then which of the following options is/are correct?

3. Three lines

and

are given. For which point(s) on can we find a point P on and a point R on so that P, Q and R are collinear?

4. Let f(x) = sin( cos x) and g(x) = cos(2 sin a) be two functions defined for x > 0. Define the following sets whose elements are written in the increasing order:
X = {x : f'(x) — 0}, Y = {x : f(x) = 0},
Z = [x : g(x) = 0}, W = [x : g'(x) = 0}.
List -1 contains the sets X, Y, Z and W. List - II contains some information regarding these sets.
List-I List-II
(I) X (p) ⊇
(II) Y (Q) an arithmetic progression
(III) Z (R) NOT an arithmetic progression
(IV) W (S) ⊇
(T) ⊇
(U) ⊇


Question: Which of the following is the only CORRECT combination?

5. Let f(x) = sin( cos x) and g(x) = cos(2 sin a) be two functions defined for x > 0. Define the following sets whose elements are written in the increasing order:
X = {x : f'(x) — 0}, Y = {x : f(x) = 0},
Z = [x : g(x) = 0}, W = [x : g'(x) = 0}.
List -1 contains the sets X, Y, Z and W. List - II contains some information regarding these sets.
List-I List-II
(I) X (p) ⊇
(II) Y (Q) an arithmetic progression
(III) Z (R) NOT an arithmetic progression
(IV) W (S) ⊇
(T) ⊇
(U) ⊇


Question : Wliich of the following is the only CORRECT combination?

Mathematics Most Viewed Questions

1. The solution of is

WBJEE 2011 Differential Equations

2. The solution of the differential equation is

COMEDK 2009 Differential Equations

3. If a and b are vectors such that then the angle between a and b is

KCET 2007 Vector Algebra

4. If then

COMEDK 2009 Matrices

5. dx is equal to

KEAM 2016 Integrals

6. is equal to :
(where is a constant of integration)

JEE Main 2019 Integrals

7. A particle is dropped under gravity from rest from a height and it travels a distance in the last second the height is:

Bihar CECE 2006

8. The value of is

KEAM 2007 Integrals

9. The value of is

KCET 2007 Integrals

10. The value of the integral is equal to

KEAM 2013 Integrals

Latest Updates