Home
Class 12
MATHS
If the three linear equations x+4ay+az...

If the three linear equations
`x+4ay+az=0`
`x+3by+bz=0`
`x+2cy+cz=0`
have a non trivial solution, where `a ne 0, b ne 0 ,c ne 0` then ab+bc is equal to a)2ab b)`-ac` c)ac d)`2ac`

A

2ab

B

`-ac`

C

ac

D

`-2ac`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

If a system of three linear equations x + 4ay + a = 0, x + 3by + b = 0, and x + 2cy + c = 0 is consistent, then prove that a,b,c are in H.P.

If the system of equations x - 2y +z = a , 2x + y - 2z = b, x +3y - 3z = c, has at least one solution, then a) a + b + c = 0 b) a - b + c = 0 c) -a + b + c = 0 d) a + b - c = 0

The root of ax^(2) + x + 1 = 0 , where a ne 0, are in the ratio 1:1. Then a is equal to

If pqrne0 and the system of equations (p + a) x + by + cz = 0 , ax + (q + b)y + cz = 0 ,ax + by + (r + c) z =0 has a non-trivial solution, then value of (a)/(p) + (b)/(q) + (c )/(r ) is a)-1 b)0 c)1 d)2

For a ne b, if the equation x ^(2) + ax + b =0 and x ^(2) + bx + a =0 have a common root, then the value of a + b equals to:

int_(ac)^(bc)f(x)dx is equal to , (c!=0)

If 2-i is a root of the equation ax^2+12x+b=0 .then the value of ab is equal to a)45 b)15 c)-15 d)-45

If (b + c) (y + z) - ax = b - c, (c + a) (z + x) - by = c - a and (a + b) (x + y) - cz = a - b , where a + b + c ne 0, then x is equal to a) (c + b)/(a + b + c) b) (c - b)/(a + b + c) c) (a - b)/(a + b + c) d) (a + b)/(a + b + c)

Solve the following differential equations x (dy)/(dx) + y - x + xy cot x = 0 (x ne 0)