If a pair of equations 3x + ky - 9 = 0 and x | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) For a pair of linear equations $a_1x + b_1y + c_1 = 0$ and $a_2x + b_2y + c_2 = 0$ to have infinite solutions,the condition is $\frac{a_1}{a_2} =

Vedclass · Accepted Answer

$6$

Vedclass · Answer

(B) For a pair of linear equations $a_1x + b_1y + c_1 = 0$ and $a_2x + b_2y + c_2 = 0$ to have infinite solutions,the condition is $\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}$.Given equations are $3x + ky - 9 = 0$ and $x + 2y - 3 = 0$.Here,$a_1 = 3, b_1 = k, c_1 = -9$ and $a_2 = 1, b_2 = 2, c_2 = -3$.Applying the condition: $\frac{3}{1} = \frac{k}{2} = \frac{-9}{-3}$.This simplifies to $3 = \frac{k}{2} = 3$.From $\frac{k}{2} = 3$,we get $k = 3 	imes 2 = 6$.

If a pair of equations $3x + ky - 9 = 0$ and $x + 2y - 3 = 0$ has infinite solutions,then $k = \ldots$

Similar Questions

If $7x - 9y = 25$ and $9x - 7y = 23$,then $x + y = \dots$

If $\frac{x}{2} = \frac{6}{y} = 3$,then $x + y = \ldots$

Which of the following is a linear equation in two variables?

If $\frac{x+y}{x y}=2$ and $\frac{x-y}{x y}=6,$ then $x=\ldots \ldots \ldots \ldots .$

The father's age is six times his son's age. Four years hence,the age of the father will be four times his son's age. The present ages,in years,of the son and the father are,respectively

Vedclass Test Series

Exam Paper Generator

Online Exam Module