- Trending Categories
- Data Structure
- Networking
- RDBMS
- Operating System
- Java
- iOS
- HTML
- CSS
- Android
- Python
- C Programming
- C++
- C#
- MongoDB
- MySQL
- Javascript
- PHP

- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who

# The value of $ c $ for which the pair of equations $ c x-y=2 $ and $ 6 x-2 y=3 $ will have infinitely many solutions is

**(A)** 3

**(B)** $ -3 $

**(C)** $ -12 $

**(D)** no value

Given:

The pair of equations \( c x-y=2 \) and \( 6 x-2 y=3 \).

To do:

We have to find the value of \( c \) for which the pair of equations \( c x-y=2 \) and \( 6 x-2 y=3 \) will have infinitely many solutions.

Solution:

We know that,

The condition for infinitely many solutions is,

$\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}$

\( c x-y-2=0 \) and \( 6 x-2 y-3=0 \)

Here,

$a_1=c, b_1=-1, c_1=-2$

$a_2=6, b_2=-2, c_2=-3$

Therefore,

$\frac{c}{6}=\frac{-1}{-2}=\frac{-2}{-3}$

$\frac{c}{6}=\frac{1}{2}$ and $\frac{c}{6}=\frac{2}{3}$

$c=3$ and $c=4$

Here, we have two different values of $c$.

Therefore, there is no value of $c$ for which the given equations will have infinitely many solutions.

- Related Questions & Answers
- Sum of the Series 1 + x/1 + x^2/2 + x^3/3 + .. + x^n/n in C++
- Find the value of the function Y = (X^6 + X^2 + 9894845) % 981 in C++
- Find maximum among x^(y^2) or y^(x^2) where x and y are given in C++
- Differences between Python 2.x and Python 3.x?
- Print 1 2 3 infinitely using threads in C
- Sum of the series 1 + (1+2) + (1+2+3) + (1+2+3+4) + ... + (1+2+3+4+...+n) in C++
- Program to find sum of 1 + x/2! + x^2/3! +…+x^n/(n+1)! in C++
- Program to find sum of series 1 + 2 + 2 + 3 + 3 + 3 + .. + n in C++
- Find value of y mod (2 raised to power x) in C++
- Evaluate a 3-D polynomial on the Cartesian product of x, y and z in Python
- Evaluate a 3-D polynomial at points (x, y, z) in Python
- Sum of the series 1^1 + 2^2 + 3^3 + ... + n^n using recursion in C++
- Evaluate a 3-D Hermite_e series on the Cartesian product of x, y and z in Python
- Evaluate a 3-D Hermite series on the Cartesian product of x, y and z in Python
- Evaluate a 3-D Laguerre series on the Cartesian product of x, y and z in Python
- Evaluate a 3-D Chebyshev series on the Cartesian product of x, y and z in Python

Advertisements