Let {D1, D2, D3 ,Dn} be the set of third...

Let `{D_1, D_2, D_3 ,D_n}` be the set of third order determinant that can be made with the distinct non-zero real numbers `a_1, a_2, a_qdot` Then `sum_(i=1)^n D_i=1` b. `sum_(i=1)^n D_i=0` c. `D_i-D_j ,AAi ,j` d. none of these

A

k=9!

B

`sum_(i=1)^kDelta_i=0`

C

at least one `Delta_i=0`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:

A, B

Topper's Solved these Questions

MATRICES AND DETERMINANTS
VMC MODULES ENGLISH|Exercise LEVEL 2|47 Videos
MATRICES AND DETERMINANTS
VMC MODULES ENGLISH|Exercise Numerical ValueType for JEE Main|15 Videos
JEE MAIN REVISON TEST-23
VMC MODULES ENGLISH|Exercise MATHEMATICS (SECTION 2)|5 Videos
MOCK TEST 1
VMC MODULES ENGLISH|Exercise PART III : MATHEMATICS (SECTION-2)|10 Videos

Similar Questions

Explore conceptually related problems

If sum_(i=1)^10 sin^-1 x_i = 5pi then sum_(i=1)^10 x_i^2 = (A) 0 (B) 5 (C) 10 (D) none of these

If sum_(r=1)^n t_r= (n(n+1)(n+2))/3 then sum _(r=1)^oo 1/t_r= (A) -1 (B) 1 (C) 0 (D) none of these

If b_i=1-a_i ,n a=sum_(i=1)^n a_i ,n b=sum_(i=1)^n b_i ,t h e nsum_(i=1)^n a_i ,b_i+sum_(i=1)^n(a_i-a)^2= a b b. n a b c. (n+1)a b d. n a b

If n= 10, sum_(i=1)^(10) x_(i) = 60 and sum_(i=1)^(10) x_(i)^(2) = 1000 then find s.d.

If d is the determinant of a square matrix A of order n , then the determinant of its adjoint is d^n (b) d^(n-1) (c) d^(n+1) (d) d

If distances of (-1, 2, 3) from x, y, z axis are d_1,d_2, d_3 respectively and the distances from xy, yz, zx planes are d_4, d_5, d_6 then the value of sum_(i=1)^6 d_i , is ___

If Z is an idempotent matrix, then (I+Z)^n I+2^n Z b. I+(2^n-1)Z c. I-(2^n-1)Z d. none of these

Let a and b be two real numbers such that a > 1, b >1. If A=((a,0),(0,b)), then (lim)_(n->oo) A^-n is (a) unit matrix (b) null matrix (c) 2I (d) non of these

If A_1, A_2, …, A_n are n independent events, such that P(A_i)=(1)/(i+1), i=1, 2,…, n , then the probability that none of A_1, A_2, …, A_n occur, is

Find sum of sum_(r=1)^n r . C (2n,r) (a) n*2^(2n-1) (b) 2^(2n-1) (c) 2^(n-1)+1 (d) None of these

VMC MODULES ENGLISH-MATRICES AND DETERMINANTS -JEE ADVANCED ARCHIVE

Let {D1, D2, D3 ,Dn} be the set of third order determinant that can be...
Text Solution
|
If A and B are square martrices of equal degree, then which one is co...
Text Solution
|
If A=[(1,0,0),(0,1,1),(0,-2,4)],6A^-1=A^2+cA+dI, then (c,d)=
Text Solution
|
about to only mathematics
Text Solution
|
If A=[[alpha,0],[ 1, 1]] and B=[[1, 0],[ 5, 1]], find the values of al...
Text Solution
|
Let P=[a(i j)] be a 3xx3 matrix and let Q=[b(i j)],w h e r eb(i j)=2^(...
Text Solution
|
If A=|[alpha,2], [2,alpha]| and |A|^3=125 , then the value of alpha ...
Text Solution
|
The number of distinct real roots of |(sinx, cosx, cosx),(cos x,sin x,...
Text Solution
|
Let "f(x)"=|{:(1,x,x+1),(2x,x(x-1),(x+1)x),(3x(x-1),x(x-1)(x-2),(x+1)x...
Text Solution
|
The parameter on which the value of the determinant |[1,a...
Text Solution
|
The determinant |x p+y x y y p+z y z0x p+y y p+z|=0 if x ,y ,z
Text Solution
|
Consider the set A of all matrices of order 3 xx 3 with entries 0 or 1...
Text Solution
|
If A is a 3xx3 non-singular matrix such that A A' = A' A and B = A^(...
Text Solution
|
If P is a 3xx3 matrix such that P^(T) = 2 P + I , where P^(T) is the...
Text Solution
|
Let omega!=1 be cube root of unity and S be the set of all non-singula...
Text Solution
|
Let M and N be two 3xx3 nonsingular skew-symmetric matrices such that ...
Text Solution
|
The number of 3xx3 matrices A whose entries are either 0or1 and for wh...
Text Solution
|
Given , 2x-y+2z=2, x-2y+z=-4, x+y+lambdaz=4, then the value of lam...
Text Solution
|
The number of values of k for which the system of the equations (k+1)x...
Text Solution
|
If the system of equations x-k y-z=0, k x-y-z=0,x+y-z=0 has a nonzero ...
Text Solution
|
Consider the system of equations x-2y+3z=-1 -x+y-2z=k x-3y+4z=1 ...
Text Solution
|