Question

If a pair of linear equations 3x + 2Ky = 2 and 2x + 5y + 1 = 0 are parallel to

each other, then the value of ‘K’

A. 15

4 B. 3

2

C. 5 D. 4

15​

Answer 1

Answer:

here's your answer

Step-by-step explanation:

Correct option is

C

4

15

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

mark me brainliest

Answer 2

Answer:

A 15/4

Step-by-step explanation:

3X +2KY=2

6X+4KY=4------(×2) BOTH SIDE

AGAIN

2X+5Y+1=0

6X+15Y+3=0-----(×3) BOTH SIDE

6X+15Y= –3

WHEN 6X+4KY & 6X+15Y ARE SAME THEN BOTH LINER EQUATION ARE PARALLEL

SO,

6X+4KY = 6X+ 15Y

4KY= 15Y

K = 15/4