Hướng Dẫn Write the value of k for which the system of equations x + ky = 0, 2x - y = 0 has unique solution ✅

byPhương Pháp •November 28, 2022

0

Thủ Thuật về Write the value of k for which the system of equations x + ky = 0, 2x - y = 0 has unique solution Chi Tiết

Bùi Phương Thảo đang tìm kiếm từ khóa Write the value of k for which the system of equations x + ky = 0, 2x - y = 0 has unique solution được Cập Nhật vào lúc : 2022-11-28 08:40:07 . Với phương châm chia sẻ Kinh Nghiệm Hướng dẫn trong nội dung bài viết một cách Chi Tiết Mới Nhất. Nếu sau khi Read tài liệu vẫn ko hiểu thì hoàn toàn có thể lại Comment ở cuối bài để Mình lý giải và hướng dẫn lại nha.

The given pair of linear equations is

Nội dung chính Show

The value of k for which the system of equations has unique solution is k≠Related VideosWhat is the value of k for which the system of equations?For what value of k will the system of equations x 2y 5 3x Ky 0 have a unique solution?For what value of k system of equations x 2y 3 and 5x KY 7 0 has a unique solution does the Point 2/3 lie on line of graph of 3x 2y 5?How many solutions does the pair of equations y 0 and y =

kx + 3y = k – 3 …(i)

12x + ky = k …(ii)

On comparing the equations (i) and (ii) with ax + by = c = 0,

We get,

a1 = k, b1 = 3, c1 = -(k – 3)

a2 = 12, b2 = k, c2 = – k

Then,

a1 /a2 = k/12

b1 /b2 = 3/k

c1 /c2 = (k-3)/k

For no solution of the pair of linear equations,

a1/a2 = b1/b2≠ c1/c2

k/12 = 3/k ≠ (k-3)/k

Taking first two parts, we get

k/12 = 3/k

k2 = 36

k = + 6

Taking last two parts, we get

3/k ≠ (k-3)/k

3k ≠ k(k – 3)

k2 – 6k ≠ 0

so, k ≠ 0,6

Therefore, value of k for which the given pair of linear equations has no solution is k = – 6.

Given:

Equation 1: x + ky = 0

Equation 2: 2x – y = 0

Both the equations are in the form of :

a1x + b1y = c1 & a2x + b2y = c2 where

a1 & a2 are the coefficients of x

b1 & b2 are the coefficients of y

c1 & c2 are the constants

According to the problem:

a1 = 1

a2 = 2

b1 = k

b2 = – 1

c1 = 0

c2 = 0

So for this problem the system of linear equations will have unique solution if

Write the value of k for which the system of equations x + ky = 0, 2x - y = 0 has unique solution .......(i)

Putting the above values in equation (i) we get:

⇒ k≠

The value of k for which the system of equations has unique solution is k≠

Find the values of k for which the system of equations 3x + ky = 0,
2x – y = 0 has a unique solution.

Solution

The given pair of linear equations are
3x + ky = 0 ……(i)
2x – y = 0 ……(ii)
Which is of the form `a_1x + b_1y + c_1 = 0 and a_2x + b_2y + c_2 = 0`, where
`a_1 = 3, b_1 = k, c_1 = 0, a_2 = 2, b_2 = -1 and c_2 = 0`
For the system to have a unique solution, we must have
`(a_1)/(a_2) = (b_1)/(b_2)`
`⇒ 3/2 ≠ k/(−1)`
`⇒ k ≠ – 3/2`
Hence,` k ≠ – 3/2.`

Getting Image
Please Wait...

Course

NCERT

Class 12Class 11Class 10Class 9Class 8Class 7Class 6

IIT JEE

Exam

JEE MAINSJEE ADVANCEDX BOARDSXII BOARDS

NEET

Neet Previous Year (Year Wise)Physics Previous YearChemistry Previous YearBiology Previous YearNeet All Sample PapersSample Papers BiologySample Papers PhysicsSample Papers Chemistry

Download PDF's

Class 12Class 11Class 10Class 9Class 8Class 7Class 6

Exam CornerOnline ClassQuizAsk Doubt on WhatsappSearch DoubtnutEnglish DictionaryToppers TalkBlogJEE Crash CourseAbout UsCareerDownloadGet AppTechnothlon-2022

Logout

Write the value of k for which the system of equations x + ky = 0, 2x - y = 0 has unique solution

Login

Register now for special offers

+91

trang chủ

>

English

>

Class 10

>

Maths

>

Chapter

>

Pair Of Linear Equations In Two Variables

>

Write the values of k for whic...

Updated On: 27-06-2022

UPLOAD PHOTO AND GET THE ANSWER NOW!

Answer

Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.

61733097

0

2.4 K