Home
Class 12
MATHS
if p+q+r=0 =a +b+c then the value of ...

if `p+q+r=0 =a +b+c` then the value of the determinant
`|{:(pa,,qb,,rc),(qc,,ra,,pb),(rb,,pc,,qa):}|` is

A

0

B

pa+qb+rc

C

1

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise For Session 3|13 Videos

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise For Session 4|10 Videos

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise For Session 1|7 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

Write the value of the determinant |(0,a-b,a-c), (b-a, 0, b-c),(c-a, c-b, 0)|

if bc+ qr= ca+rp = ab+ pq =-1 then prove that |{:(ap,,a,,p),(bq,,b,,q),(cr,,c,,r):}|=0

If p ,q ,r are in A.P. then value of determinant |[a^2+2^(n+1)+2p, b^2+2^(n+2)+3q, c^2+p], [2^n+p, 2^(n+1), 2q], [a^2+2^n+p, b^2+2^(n+1), c^2-r]| is (a) 0 (b) Independent from a , b , c (c) a^2b^2c^2-2^n (d) Independent from n

Evaluate |(a, l , m , n), (0,b,p,q),(0,0,c,r),(0,0,0,d)|

If a^(-1), b^(-1), c^(-1) are p^(th),q^(th) and r^(th) terms of an AP then the value of |(bc,ca,ab),(p,q,r),(1,1,1)| is

Without expanding prove that |(a,b,c),(x,y,z),(p,q,r)| = |(y,b,q),(x,a,p),(z,c,r)|

If anep,b neq,cner 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)

Using the property of determinants and without expanding prove that : {:|(b+c,q+r,y+z),(c+a,r+p,z+x),(a+b,p+q,x+y)|=2|(a,p,x),(b,q,x),(c,r,z)|