Question

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Answer 1

Answer:

Given:2x+ky−9=0 .......(1)

Slope of line (1)=−

coefficientofy

coefficientofx

=−

k

2

Given:2x+3y−1=0 .......(2)

Slope of line (2)=−

coefficientofy

coefficientofx

=−

3

2

As the lines (1) and (2) are perpendicular, the product of their slopes=−1

⇒

k

−2

×

3

−2

=−1

⇒

3k

4

=−1

⇒4=−3k

⇒k=

3

−4