Home
Class 12
MATHS
The set of values of x for which the mat...

The set of values of x for which the matrix `[(x+a,b,c),(a,x+b,c),(a,b,x+c)]` is non singular is (A) `R-{0}` (B) `R-[0,-(a+b+c)` (C) `R-{-(a+b+c)}` (D) none of these

A

`R-{0}`

B

` R-{-(a+b+C) }`

C

` R-{0,-(a+b+c)}`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

The values of x for which the matrix [[x+a,b,c],[a,x+b,c],[a,b,x+c]] is non-singular are (A) R-{0} (B) R-{-(a+b+c)} (C) R-{0,-(a+b+c)} (D) none of these

The equation |(x-a,x-b,x-c),(x-b,x-a,x-c),(x-c,x-b,x-a)|=0 (a,b,c are different) is satisfied by (A) x=(a+b+c0 (B) x= 1/3 (a+b+c) (C) x=0 (D) none of these

Let a,b,c be even natural numbers, then /_\=|(a-x, a, a+x),(b-x, b, b+x),(c-x, c, c+x)| is a multiple of (A) 2 (B) 5 (C) 3 (D) none of these

If p+q+r=0=a+b+c , then the value of the determinant |[p a, q b, r c],[ q c ,r a, p b],[ r b, p c, q a]|i s (a) 0 (b) p a+q b+r c (c) 1 (d) none of these

The product of all values of t , for which the system of equations (a-t)x+b y+c z=0,b x+(c-t)y+a z=0,c x+a y+(b-t)z=0 has non-trivial solution, is (a) |[a, -c, -b], [-c, b, -a], [-b, -a, c]| (b) |[a, b, c], [b, c, a], [c, a, b]| (c) |[a, c, b], [b, a, c], [c, b, a]| (d) |[a, a+b, b+c], [b, b+c, c+a], [c, c+a, a+b]|

if a+b+c=0 then Delta=|{:(a-x,c,b),(c,b-x,a),(b,a,c-x):}|=0 is

If 3x=a+b+c , then the value of (x-a)^3+\ (x-b)^3+\ (x-c)^3-3\ (x-a)(x-b)(x-c) is (a) a+b+c (b) (a-b)(b-c)(c-a) (c) 0 (d) None of these

If a ,b ,c ,d in R^+ and a ,b ,c,d are in H.P., then (a) a+d > b+c (b) a+b > c+d (c) a+c > b+d (d)none of these

If a b c=0 , then find the value of {(x^a)^b}^c (a)1 (b) a (c)b (d) c

The roots of the equation a x^2+b x+c=0, a in R^+, are two consecutive odd positive (A) |b|lt=4a (B) |b|geq4a (C) |b|geq2a (D) none of these