If p+q+r=0=a+b+c , then the value of the...

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

A

0

B

`pa + qb + rc`

C

1

D

none of these

Text Solution

Verified by Experts

The correct Answer is:

A

Topper's Solved these Questions

DETERMINANTS
OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos
DETERMINANTS
OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|6 Videos
CARTESIAN CO-ORDINATE SYSTEM
OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|27 Videos
DISCRETE PROBABILITY DISTRIBUTIONS
OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|40 Videos

Similar Questions

Explore conceptually related problems

If |[a, p, x],[ b, q, y], [c, r, z]|=16 , then the value of |[p+x, a+x, a+p], [q+y ,b+y, b+q],[ r+z, c+z, c+r]| is (a) 4 (b) 8 (c) 16 (d) 32

|(a+1, a+2, a+p), (a+2, a+3, a+q) ,(a+3, a+4, a+r)|=0 , then p, q r are in (A) A P (B) G P (C) H P (D) none of these

If |[p, b, c],[ a, q, c],[ a, b, r]|=0, find the value of p/(p-a)+q/(q-b)+r/(r-c),p!=a ,q!=b ,r!=c dot

If Delta P Q R\ ~= Delta E F D , then /_E= (a) /_P (b) /_Q (c) /_R (d) None of these

If p, q, r are any real numbers, then (A) max (p, q) lt max (p, q, r) (B) min(p,q) =1/2 (p+q-|p-q|) (C) max (p, q) < min(p, q, r) (D) None of these

Given that q^2-p r ,0,\ p >0, then the value of |p q p x+q y q r q x+r y p x+q y q x+r y0| is- a. zero b. positive c. negative \ d. q^2+p r

Prove that: |{:(a, b, c), (x, y, z), (p, q, r):}|=|{:(y, b, q), (x, a, p), (z, c, r):}|

If a!=p ,b!=q ,c!=r and |[p, b, c ],[a, q, c ],[a ,b, r]|=0, then find the value of p/(p-a)+q/(q-b)+r/(r-c)dot

The sums of first p, q, r terms of an A.P. are a, b, c respectively. Prove that (a)/(p) (q-r) +(b)/(q) (r-p) +(c )/(r) (p-q) =0

The sum of the first p , q , r terms of an A.P. are a , b , c respectively. Show that a/p(q-r)+b/q(r-p)+c/r(p-q)=0

OBJECTIVE RD SHARMA ENGLISH-DETERMINANTS-Exercise

|(x+1,x+2,x+a),(x+2,x+3,x+b),(x+3,x+4,x+c)|=0 where a,b and c are in A...
Text Solution
|
If p+q+r=0=a+b+c , then the value of the determinant |[p a, q b, r c],...
Text Solution
|
about to only mathematics
Text Solution
|
If A is an invertible matrix then det(A^-1) is equal to (A) 1 (B) 1/|A...
Text Solution
|
The value of the determinant |{:(1,,1,,1),(.^(m)C(1),,.^(m+1)C(1),...
Text Solution
|
If A, B, C are the angles of a triangle, then the determinant Delta ...
Text Solution
|
The determinant Delta =|{:(a^(2)+x,,ab,,ac),(ab,,b^(2)+x,,bc),(ac,,bc...
Text Solution
|
If r=|2^r 2.3^r-1 4.5^r-1alphabetagamma2^n-1 3^n-1 5^n-1| , then find ...
Text Solution
|
Find the non-zero roots of the equation. (i) Delta=|{:(,a,b,ax+b),(,...
Text Solution
|
Let Delta(a)=|{:((a-1),n,6),((a-1)^(2), 2n^(2),4m-2),((a-1)^(3),3n^(3)...
Text Solution
|
if a(1),a(2),…….a(n),……. form a G.P. and a(1) gt 0 , for all I ge 1 ...
Text Solution
|
For x ne y ne z , |{:(1+x^(3),,x^(2),,1),(1+y^(3),,y^(2),,1),(1+z^(3...
Text Solution
|
" if " |{:(b+c,,c+a,,a+b),(a+b,,b+c,,c+a),(c+a,,a+b,,b+c):}|=k |{:(a...
Text Solution
|
If A is a square matrix of order n such that its elements are polynomi...
Text Solution
|
Prove the identities: |{:(b^(2)+c^(2),,ab,,ac),(ab,,c^(2)+a^(2),,bc),...
Text Solution
|
a^(−1)+b^(−1)+c^(−1)=0 such that |[1+a,1,1,],[1,1+b,1,],[1,1,1+c,]| =△...
Text Solution
|
If alpha,beta,gamma are real numbers, then without expanding at any...
Text Solution
|
If A,B,C are the angles of triangle ABC, then the minimum value of |{:...
Text Solution
|
If x, y , z are in A.P., then the value of the det (A) is , where A ...
Text Solution
|
Find the number of real root of the equation |0x-a x-b x+a0x-c x+b x+c...
Text Solution
|