Question

6) Find 'k' for which sines, 2x + y = 7x-2y=1 and
Kx-5y=4 are concurrent​

Answer 1

Answer:

Given,

In equation , kx−5y+4=0

⇒5y=kx+4

y=(

5

k

)x+

5

k

So, the slope (m

1

)=

5

k

And, in equation 4x−2y+5=0

⇒2y=4x+5

y=2x+

2

5

So, the slope (m

2

)=2

As the line are perpendicular to each other

⇒m

1

×m

2

=−1

5

k

×2=−1

k=

2

(−1×5)

Hence, the value of k=

2

−5