Please enter the following details
Free Daily Targets & Mocks
Study Material & Formulas PDFs
1 on 1 Mentorship
Question 4
The pair of equations are 7x+8ky-16=0 and 14x+112y-21=0. Find the value of ‘k’ for which the system is inconsistent.
Solution
Equations : 7x+8ky-16=0 and 14x+112y-21=0
For two equations to be inconsistent (no solution), the ratio of coefficients of both equations must be of the form = $$\frac{a_1}{b_1}=\frac{a_2}{b_2}\neq\frac{c1}{c_2}$$
=> $$\frac{7}{14}=\frac{8k}{112}\neq\frac{-16}{-21}$$
=> $$\frac{k}{14}=\frac{1}{2}$$
=> $$k=\frac{14}{2}=7$$
=> Ans - (D)
Create a FREE account and get:
- Free SSC Study Material - 18000 Questions
- 230+ SSC previous papers with solutions PDF
- 100+ SSC Online Tests for Free
