No products in the cart.

For what value of 'k' will …

CBSE, JEE, NEET, CUET

CBSE, JEE, NEET, CUET

Question Bank, Mock Tests, Exam Papers

NCERT Solutions, Sample Papers, Notes, Videos

For what value of 'k' will the following system of linear equations has no solution? 3x + y = 1 (2k – 1)x + (k – 1)y = 2k + 1.
  • 1 answers

Shubham Sinha 5 months ago

The given pair of equations are : - 3x + y = 1 ........... (1) (2k−1)x + (k−1)y = 2k + 1 .......... (2) Now rearranging eq1 and eq2 will get 3x + y − 1 = 0 ........... (3) (2k−1)x + (k−1)y − (2k+1) = 0 ........ (4) Now compare with a1 = 3, b1 = 1, c1 = −1 a2 = 2k−1, b2 = k−1, c2 = −(2k+1) Now we get a1a2 = 32k−1 , b1b2 = 1k−1 , c1c2 = −1−(2k+1) Now will take a1a2 = b1b2 ⇒32k−1 = 1k−1 ⇒3k−3 = 2k−1 ⇒3k−2k = −1+3 ⇒k = 2 Hence k = 2 is the value.
http://mycbseguide.com/examin8/

Related Questions

Venu Gopal has twice
  • 0 answers
Water
  • 0 answers
X-y=5
  • 1 answers
(A + B )²
  • 1 answers
sin60° cos 30°+ cos60° sin 30°
  • 2 answers
Find the nature of quadratic equation x^2 +x -5 =0
  • 0 answers

myCBSEguide App

myCBSEguide

Trusted by 1 Crore+ Students

Test Generator

Test Generator

Create papers online. It's FREE.

CUET Mock Tests

CUET Mock Tests

75,000+ questions to practice only on myCBSEguide app

Download myCBSEguide App