For unique solution value
k = -1
What value of k the system of linear equations has a unique solution. Explanation: For unique solution value of the equation value of x , y ,z are only one.
For what value of k the system of equation has unique solution?
We know that if the system of equation has unique solution then a1a2≠b1b2. Hence, for the system of equations to have a unique solution the value of k
must not be 6
. So, the answer is k can have any value other than 6.
When a system of equations has a unique solution?
In a set of linear simultaneous equations, a unique solution exists if and only if, (a) the number of unknowns and the number of equations are equal, (b)
all equations are consistent
, and (c) there is no linear dependence between any two or more equations, that is, all equations are independent.
For what value of k the system of equations has infinitely many solutions?
Hence, the given system of equations will have infinitely many solutions if
k = 9
.
For what value of k will KX 2y 5 and 3x Y 1 have unique solution?
Answer Expert Verified
Therefore, the value of
k ≠ 6
.
For what value of k are the points K 2 2k?
Given points will be collinear, if area of the triangle formed by them is zero. ⇒ k = 1/2 or,
k = – 1
.
What is the unique solution?
By the term unique solution, one
mean to say that only one specific solution set exists for a given equation
. … So, if we have two equations, then unique solution will mean that there is one and only point at which the two equations intersect.
What is the uniqueness of your solution answer?
Uniqueness means that
there is only a single solution to the differential problem
– that is, differential equation together with side conditions (boundary or initial).
When linear equations has a unique solution lines are?
Answer: When a pair of linear equations has a unique solution lines are
Intersecting
.
What is the value of k for which the system of equation?
Thus for all real values of k other than
10
, the given system of equations will have a unique solution. Hence, the required value of k is 10. There is no value of k for which the given system of equations has an infinite number of solutions.
What is the value of k for which the following system of equations has infinite solutions 3x y 5 0 6x 2y k 0?
3x – y – 5 = 0; 6x – 2y + k = 0. Hence the given system will have infinite no. of solution if
k = -10
.
For what value of k the pair of equations 3x 5y 4 0 and KX 2y 5 has no solution?
Hence,
k = 6
.
Which of the following system of equations has infinitely many solutions?
A dependent system
has infinitely many solutions. The lines are exactly the same, so every coordinate pair on the line is a solution to both equations.
Which is the value of K if K 5 is the solution of equation 4x 2y 0?
Answer: Here, the value of y is
5
.
Which of the following is a solution of the equation 2x 3y 5?
Therefore the solutions are
(1,1), (2,1/3), (3,-1/3)
. Hope this helps you. Plz mark me as the brainliest.
For what value of k are the points K 2 − 2k )( − k +1 2k and − 4 − K 6 − 2k are collinear?
Given points (k, 2 – 2k), (-k + 1, 2k) and (-4 – k, 6 – 2k) are collinear. Hence,
k = -1, 1/2
.
For what value of k will the points?
Using the concept of slope, show that the points A(5,−2),B(4,−1) and C(1,2) are collinear.
How do you find the unique solution of a quadratic equation?
- If you get a positive number, the quadratic will have two unique solutions.
- If you get 0, the quadratic will have exactly one solution, a double root.
For what values of k are the points 8 1 3 2k and K collinear?
The answer for this question is
11/2 and 2
.
What does Unique mean in mathematics?
In mathematics and logic, the term “uniqueness” refers to
the property of being the one and only object satisfying a certain condition
. This sort of quantification is known as uniqueness quantification or unique existential quantification, and is often denoted with the symbols “∃!” or “∃
= 1
“.
What is a unique solution Class 9?
Hint: The significance of a unique solution is that
the two lines that we are talking about are intersecting or meeting each other at only a single point
, therefore giving a unique or a single solution. … Parallel lines give rise to no solution whereas coincident lines refer to infinitely many solutions.
What is uniqueness differential equation?
Existence and uniqueness theorem is the tool which makes it possible for us to conclude that there exists only one solution to a first order differential equation which satisfies a given initial condition. … First let us state the theorem itself.
What is unique solution in linear equations in two variables?
For the given linear equations in two variables, the solution will be unique for both the equations, if and only if they intersect at a single point. The condition to get the unique solution for the given linear equations is,
the slope of the line formed by the two equations, respectively, should not be equal
.
For what value of k is the given pair of linear equations inconsistent?
Hence, for
k = – 6
the given system of equations will be inconsistent.
What is the value of K?
The value of K in free space is
9 × 10
9
.
What is the value of k for which the system of equations KX − Y 2 and 6x − 2y 3 has a unique solution?
Hence,
k ≠ 3
.
Which system type is a linear system with infinitely many solutions?
A dependent system
has infinitely many solutions. The lines are coincident. They are the same line, so every coordinate pair on the line is a solution to both equations.
For what value of k the system of equations KX Y 2 0 and 6x 2y 3 0 have no solution?
The value of ‘k’ so that the system of linear equations kx – y – 2 = 0 and 6x – 2y – 3 = 0 have no solution is
k = – 3
.
For what value of k do the equations 3x − y 8 0 and 6x − 2y k represent parallel lines?
Answer: For
k = 2
, the two equations 3x-y+8=0 and 6x-ky=-16 represent coincident lines.
What is the value of k for which the system of equations KX 5y 2 6x 2y 7 has no solution?
The value of k for which the system of equations has no solution is
k = – 15
.
Is infinitely many solutions consistent?
If a system has at least one solution, it is said to be consistent . If a consistent system has exactly one solution, it is independent . If a consistent system has an infinite number of solutions,
it is dependent
. When you graph the equations, both equations represent the same line.
For what value of k does the following pair of linear equations in two variables have no solution 3x y 5?
3x – y = 5,
6x – 2y = k
has no solution.
For what value of k does the system of equations KX 2y 5 and 3x 4y 10 have unique solution?
These equations are of the forms: Thus for
all real values of k other than −3/2
, the given system of equations will have a unique solution.
For what value of k the system of equations 8x 5y 9 KX 10y 15 has no solution?
Hence, the given system of equations has no solutions when k is
equal to 16
.
What is the value of K KX 3y K 3?
Hence,
k = -6
.
What is the value of k for which the quadratic equation 3×2 KX k 0 has real roots?
For equal roots of the given quadratic equations, Discriminant will be equal to 0. Therefore, the values of k for which the quadratic equation 3x 2−2kx+12=0 will have equal roots are
6 and −6
.
Which of the following equation has roots 3 and 5?
Hence, the correct answer is
x2 – 8x + 15 = 0
.
What is the value of K if the roots are of quadratic equation x2 KX k 0 are real and equal?
Answer: Values of k are
0 and 4
.
