Question

7.The value of k for which the lines 2x + ky + 7 = 0 and 27x - 18y + 25 = 0 are perpendicular to each other is​

Answer 1

Answer:

k is 3

Step-by-step explanation:

the condition for perpendicular is the slope of both lines shud be such that their product is -1

slope of line 27x-18y+25

slope = -b/a

= -(-18)/27

=18/27

=2/3

slope of 2nd line = 2/3 * x = -1

x = -3/2

in this line 2x+ky+7,

slope = -k/2 = -3/2

so k =3