If the system of linear equations x+ky...

If the system of linear equations x+ky+3z=0 3x+ky-2z=0 2x+4y-3z=0 has a non-zero solution (x,y,z) then `(xz)/(y^2)` is equal to

A

10

B

`-30`

C

30

D

`-10`

Text Solution

Verified by Experts

The correct Answer is:

A

Topper's Solved these Questions

DETERMINANTS
DISHA PUBLICATION|Exercise EXERCISE -1 CONCEPT BUILDER|65 Videos
DETERMINANTS
DISHA PUBLICATION|Exercise EXERCISE -2 CONCEPT APPLICATOR|30 Videos
CONTINUITY AND DIFFERENTIABILITY
DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos
DIFFERENTIAL EQUATIONS
DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

If the system of linear equations x+ky+3z=03x+ky-2z=02x+4y-3z=0 has a non-zero solution (x,y,z) then (xz)/(y^(2)) is equal to

If the system of equation x+ky+3z=0,3x+ky-2z=0,2x+3y-4z=0 has non trivial solution, then (xy)/(z^2) =

If the system of linear equations x + y + 3z = 0 x + 3y + k^2 z = 0 3x + y + 3z = 0 has a non -zero solution (x, y, -z) for some k in R then x + (y/z) is equal to :

If the system of equations, 2x + 3y-z = 0, x + ky -2z = 0 " and " 2x-y+z = 0 has a non-trivial solution (x, y, z), then (x)/(y) + (y)/(z) + (z)/(x) + k is equal to

The system of equations: x+ky+3z=0 , 3x+ky-2z=0 , 2x+3y-4z=0 has non- trivial solution. when k=

x+ky-z=0 , 3x-ky-z=0 and x-3y+z=0 has non-zero solution for k=

If the system of equations x-ky+3z=0, 2x+ky-2z=0 and 3x-4y+2z=0 has non - trivial solutions, then the value of (10y)/(x) is equal to

DISHA PUBLICATION-DETERMINANTS-EXERCISE -2 CONCEPT APPLICATOR

If the system of linear equations x+ky+3z=0 3x+ky-2z=0 2x+4y-3z=0 ...
Text Solution
|
The coefficient of x in f (x) = |{:(x , 1 + sin x , cos x ),(1 , lo...
Text Solution
|
If a(n)=(1)/(n+1)+1 then find the vaue of a(1)+a(3)+a(5)
Text Solution
|
If [] denotes the greatest integer less than or equal to the real numb...
Text Solution
|
Prove that |{:(x^(2),,x^(2)-(y-z)^(2),,yz),(y^(2),,y^(2)-(z-x)^(2),,zx...
Text Solution
|
If a , b , c are non-zero, then the system of equations (alpha+a)x+alp...
Text Solution
|
If m is a positive integer and Dr=|2r-1\ ^m Cr1m^2-1 2^m m+1s in^2(...
Text Solution
|
If x,y and z are the integers in AP lying between 1 and 9 and x 51, ...
Text Solution
|
If omega is a non-real cube root of unity, then Delta = |(a(1) + b(1) ...
Text Solution
|
prove that |{:((a-x)^(2),,(a-y)^(2),,(a-z)^(2)),((b-x)^(2),,(b-y)^(2),...
Text Solution
|
Evaluate |{:(.^(x)C(1),,.^(x)C(2),,.^(x)C(3)),(.^(y)C(1),,.^(y)C(2),,....
Text Solution
|
If |{:(x^(n),x^(x+2),x^(2n)),(1,x^(a),a),(x^(n+5),x^(a+6),x^(2n+5)):}|...
Text Solution
|
The value of the determinant |{:(1^(2),2^(2),3^(2),4^(2)),(2^(2),3^(2)...
Text Solution
|
The value of the determinant |{:(1 ,(5^(2x)-5^(-2x))^(2),(5^(2x)-5^(-2...
Text Solution
|
If a^(2)+b^(2)+c^(2)=-2 and |{:(1+a^(2)x,(1+b^(2))x,(1+c^(2))x),((...
Text Solution
|
If A1B1C1 , A2B2C2 and A3B3C3 are three digit numbers, each of which ...
Text Solution
|
If Sr = alpha^r + beta^r + gamma^r then show that |[S0,S1,S2],[S1,S2,S...
Text Solution
|
If f(x) = |{:(cos^(2)x, cosx.sinx, -sin x),(cos x sinx ,sin^(2)x ,cos ...
Text Solution
|
the value of the determinant |{:((a(1)-b(1))^(2),,(a(1)-b(2))^(2),,...
Text Solution
|
f'(x) = |{:(cos x , x , 1),(2sin x,x^(2),2x),(tan x, x,1):}| . The val...
Text Solution
|
If the matrix A = [{:(y+a,b,c),(a,y+b,c),(a,b,y+c):}] has rank 3, then
Text Solution
|