Question

plz help solve this please. ​

Answer 1

Answer:

answer- a) 4/15

Step-by-step explanation:

Condition for the lines to be parallel is

a

2

a

1

=

b

2

b

1



=

c

2

c

1

Here the equations are

3x+2ky=2 and 2x+5y+1=0

So, a

1

=3,b

1

=2k,c

1

=−2 and a

2

=2,b

2

=5,c

2

=1

∴

a

2

a

1

=

2

3

,

b

2

b

1

=

5

2k

and

c

2

c

1

=

1

−2

=−2

∴

5

2k

=

2

3

∴k=

4

15

Answer 2

For the given lines are parallel, the value of k is ¹⁵/4

Step-by-step explanation:

$\frac{a1}{a2} = \frac{b1}{b2} ≠ \frac{c1}{c2}$

$\frac{3}{2} = \frac{2k}{5}$

$k = \frac{15}{4}$