MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Linear Equation in 2 Variables

Find the valu...

Question

Find the value of k if the system has unique solution, no solution, infinite solution. x+2y=5 3x+ky=-15

Open in App

Solution

Suggest Corrections

thumbs-up

27

Similar questions

Q. Find the value of k for which the system has (i) a unique solution, and (ii) no solution.

kx + 2y = 5
3x + y = 1

Q. For the system of linear equations :

x - 2 y = 1, x - y + k z = - 2, k y + 4 z = 6, k \in R,

consider the following statements :

(A)

The system has unique solution if

k \neq 2, k \neq - 2.

(B)

The system has unique solution if

k = - 2.

(C)

The system has unique solution if

k = 2.

(D)

The system has no-solution if

k = 2.

(E)

The system has infinite number of solutions if

k \neq - 2.

Which of the following statements are correct ?

For what value of k, the system of equations $x + 2 y = 5, 3 x + k y + 15 = 0$ has a unique solution?

___

Find the value of k for which the system

kx + 2y = 5

3x + y = 1

has (i) a unique solution, and (ii) no solution.

Q. The value of k for which the system of equations has no solution is

x + 2 y = 5 3 x + k y + 15 = 0

(a) 6
(b) −6
(c) 3/2
(d) None of these

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Linear Equation in 2 Variables

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Linear Equation in 2 Variables

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon