Home
Class 12
MATHS
The determinant: |(xp+y,x,y),(yp+z,y,z...

The determinant:
`|(xp+y,x,y),(yp+z,y,z),(0,xp+y,yp+z)|=0` if :

A

x,y,z are in A.P

B

x,y,z are in G.P

C

x,y,z are in H.P

D

xy ,yz ,zx are in A.P

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Multiple Choice Questions - LEVEL - II|42 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Latest Questions from AIEEE/JEE Examinations|5 Videos

  • DEFINITE INTEGRALS

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|21 Videos

  • DIFFERENTIABILITY AND DIFFERENTIATION

    MODERN PUBLICATION|Exercise RCQs (Questions from Karnataka CET & COMED)|25 Videos

Similar Questions

Explore conceptually related problems

The value of the determinant |{:(1 , x , x+ z) , (1 , y , z + x) , (1 , z , x + y):}| is

|(x, 4, y+z),(y, 4, z+x),(z, 4, x+y)|=

The value of |(x+y,y+z,z+x),(x,y,z),(x-y,y-z,z-x)|=

|(x,a,x+a),(y,b,y+b),(z,c,z+c)| = 0

If x,y,z are nonzero real number , then the inverse of matrix A= {:[( x,0,0),( 0,y,0) ,( 0,0,z) ]:} is

Prove that |(x,x^2,yz),(y,y^2,zx),(z,z^2,xy)|= (x-y)(y-z)(z-x)(xy + yz + zx) .

If x,y,z, are in A.P., then value of the det A. where A=[(4,5,6,x),(5,6,7,y),(6,7,8,z),(x,y,z,0)] is :

If x,y,z are different and Delta = |(x, x^2, 1+x^3),(y,y^2,1+y^3),(z,z^2,1+z^3)|= 0 then show that 1 + xyz = 0

using properties of determinant prove that {:[( x,x^(2) , 1+ px^(3) ),( y,y^(2) , 1+ py^(2)),( z,z^(2) , 1+pz^(2)) ]:} =( 1+pxyz ) ( x-y) ( y-z ) (z-x) , where p is any scalar .

Find the values of x, y, z if the matrix A=[(0, 2y,z),(x,y,-z),(x,-y,z)] satisfy the equation A'A=I .