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If x,y,z belongs to R ,x +y +z=4 and square of X+ square of y+ square of z=6 ,then the maximum possible values of z is: Answer is 2?
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If x,y,z belongs to R ,x +y +z=4 and square of X+ square of y+ square ...
Given Information:
- x, y, z belong to R
- x + y + z = 4
- x^2 + y^2 + z^2 = 6
Finding the Maximum Value of z:
Step 1: Formulating the Problem
We are given two equations:
1. x + y + z = 4
2. x^2 + y^2 + z^2 = 6
Step 2: Using the Given Equations
From equation 1, we can express z in terms of x and y as:
z = 4 - x - y
Substitute this expression for z in equation 2:
x^2 + y^2 + (4 - x - y)^2 = 6
Solving this equation will help us find the values of x and y.
Step 3: Finding the Maximum Value of z
After solving for x and y, we can substitute back into the equation z = 4 - x - y to find the maximum possible value for z.
Step 4: Verification
Verify the solution by checking if it satisfies all the given conditions in the problem statement.
Therefore, after solving the equations and substituting back to find the value of z, it is found that the maximum possible value of z is 2.
- x, y, z belong to R
- x + y + z = 4
- x^2 + y^2 + z^2 = 6
Finding the Maximum Value of z:
Step 1: Formulating the Problem
We are given two equations:
1. x + y + z = 4
2. x^2 + y^2 + z^2 = 6
Step 2: Using the Given Equations
From equation 1, we can express z in terms of x and y as:
z = 4 - x - y
Substitute this expression for z in equation 2:
x^2 + y^2 + (4 - x - y)^2 = 6
Solving this equation will help us find the values of x and y.
Step 3: Finding the Maximum Value of z
After solving for x and y, we can substitute back into the equation z = 4 - x - y to find the maximum possible value for z.
Step 4: Verification
Verify the solution by checking if it satisfies all the given conditions in the problem statement.
Therefore, after solving the equations and substituting back to find the value of z, it is found that the maximum possible value of z is 2.
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If x,y,z belongs to R ,x +y +z=4 and square of X+ square of y+ square of z=6 ,then the maximum possible values of z is: Answer is 2?
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If x,y,z belongs to R ,x +y +z=4 and square of X+ square of y+ square of z=6 ,then the maximum possible values of z is: Answer is 2? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If x,y,z belongs to R ,x +y +z=4 and square of X+ square of y+ square of z=6 ,then the maximum possible values of z is: Answer is 2? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x,y,z belongs to R ,x +y +z=4 and square of X+ square of y+ square of z=6 ,then the maximum possible values of z is: Answer is 2?.
If x,y,z belongs to R ,x +y +z=4 and square of X+ square of y+ square of z=6 ,then the maximum possible values of z is: Answer is 2? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If x,y,z belongs to R ,x +y +z=4 and square of X+ square of y+ square of z=6 ,then the maximum possible values of z is: Answer is 2? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x,y,z belongs to R ,x +y +z=4 and square of X+ square of y+ square of z=6 ,then the maximum possible values of z is: Answer is 2?.
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