If the lines given by 3x + 2ky = 2 and 2x + 5 | vedclass

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

Question

(A) The condition for two lines $a_1x + b_1y + c_1 = 0$ and $a_2x + b_2y + c_2 = 0$ to be parallel is $\frac{a_1}{a_2} = \frac{b_1}{b_2} 
eq \frac{c_

Vedclass · Accepted Answer

$\frac{15}{4}$

Vedclass · Answer

(A) The condition for two lines $a_1x + b_1y + c_1 = 0$ and $a_2x + b_2y + c_2 = 0$ to be parallel is $\frac{a_1}{a_2} = \frac{b_1}{b_2} 
eq \frac{c_1}{c_2}$.Given the equations:$3x + 2ky - 2 = 0$$2x + 5y + 1 = 0$Here,$a_1 = 3, b_1 = 2k, c_1 = -2$ and $a_2 = 2, b_2 = 5, c_2 = 1$.For the lines to be parallel,we must have $\frac{a_1}{a_2} = \frac{b_1}{b_2}$.Substituting the values,we get $\frac{3}{2} = \frac{2k}{5}$.Cross-multiplying,we get $3 	imes 5 = 2 	imes 2k$,which implies $15 = 4k$.Therefore,$k = \frac{15}{4}$.

If the lines given by $3x + 2ky = 2$ and $2x + 5y + 1 = 0$ are parallel,then the value of $k$ is

Similar Questions

The solution set of $2x + 3y = 5$ and $4x + ky = 10$ is an infinite set. The value of $k$ is ...........

In cyclic quadrilateral $ABCD$,$m \angle A = 2x + 4$,$m \angle B = y + 3$,$m \angle C = 2y + 10$,and $m \angle D = 4x - 5$. Find the measures of all four angles.

In the pair of linear equations $a_{1}x + b_{1}y + c_{1} = 0$ and $a_{2}x + b_{2}y + c_{2} = 0$,if $\ldots \ldots \ldots \ldots$,then the system has infinitely many solutions.

Solve the following pair of linear equations in two variables using a graph: $x + y = 5$ and $5x - 2y = 4$.

Determine,graphically,the vertices of the triangle formed by the lines $y=x$,$3y=x$,and $x+y=8$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module