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Byju's Answer

Standard XII

Mathematics

Cramer's Rule

Let a,b,c,be ...

Question

Let a,b,c,be any real numbers. Suppose that there are real numbers x, y, z not all zero such that x= cy +bz, y=az + cx and z = bx +ay. Then , a² + b²+ c²+ 2abc is equal to

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Solution

The correct option is D
1

Given equations are
x - cy - bz = 0
cx - y + az = 0
bx + ay - z = 0

and

For non - zero solution

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Similar questions

Let a,b,c,be any real numbers. Suppose that there are real numbers x, y, z not all zero such that x= cy +bz, y=az + cx and z = bx +ay. Then , a² + b²+ c²+ 2abc is equal to

Q. Let

a . b, c

be any real numbers, suppose that there are real number

x, y, z

not all zero such that

x = c y + b z, y = a z + c x, z = b x + a y,

then

a^{2} + b^{2} + c^{2} + 2 a b c

equal to

Q. Let a,b and c be any real numbers. Suppose that there are real numbers

x, y, z

not all zero such that

x = c y

y = a z + c x

and

z = b x + a y

, then

a^{2} + b^{2} + c^{2} + 2 a b c

is equal to:

Q. Given,

x = c y + b z, y = a z + c x, z = b x + a y

, where x, y, z are not all zero, and a, b, c are real numbers. The value of

a^{2} + b^{2} + c^{2} + 2 a b c

Q. If

x = c y + b z, y = a z + c x, z = b x + a y

where

x, y, z

are not all zero, then

a^{2} + b^{2} + c^{2} + 2 a b c = k

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Let a,b,c,be any real numbers. Suppose that there are real numbers x, y, z not all zero such that x= cy +bz, y=az + cx and z = bx +ay. Then , a2 + b2+ c2+ 2abc is equal to

The correct option is D 1Given equations are x - cy - bz = 0 cx - y + az = 0 bx + ay - z = 0 and For non - zero solution

Let a,b,c,be any real numbers. Suppose that there are real numbers x, y, z not all zero such that x= cy +bz, y=az + cx and z = bx +ay. Then , a² + b²+ c²+ 2abc is equal to

The correct option is D
1

Given equations are
x - cy - bz = 0
cx - y + az = 0
bx + ay - z = 0

and

For non - zero solution