Question

FOR WHAT VALUE OF K THE PAIR OF LINES 9x+3y=10 AND 3x+6ky+4=0 WILL REPRESENT PARALLEL LINES

Answer 1

Answer:

Correct option is

A

k=3

The pair of linear equations represents parallel lines if:

a

2

a

1

=

b

2

b

1



=

c

2

c

1

For the given pair of equation 4x+6y−1=0 and 2x+ky−7=0;

a

2

a

1

=

2

4

=2

c

2

b

1

=

k

6

c

2

c

1

=

−7

−1

=

7

1

For

a

2

a

1

=

b

2

b

1

⟶k=3

The pair of linear equations represents parallel lines for k=3.

Step-by-step explanation:

hope it's helpful

Answer 2

Answer:

1/6

Step-by-step explanation:

9x + 3y = 10

3y = -9x + 10

y = -3x + 10/3

Slope = -3

3x + 6ky + 4 = 0

6ky = -3x - 4

y = -x/2k - 2/3k

Slope = -1/2k

For parallel lines, slopes are equal.

-3 = -1/2k

-6k = -1

k = 1/6