Question

If lines 2X + 3Y- 4=0 & 3X - K.Y- 5=0 are Perpendicular to each other the Value of K is ?​

Answer 1

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Class 11

>>Applied Mathematics

>>Straight lines

>>Slope of a line

>>Find k if the lines 2x - 3y + 4 = 0 and

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Find k if the lines 2x−3y+4=0 and x+ky=3 are (i) parallel (ii) perpendicular

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Solution

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Slope m of the line ax+by+c=0 is,

m=−

b

a

Slope of the line 2x−3y+4=0 is m

1

=

3

2

Slope of the line x+ky=3 is m

2

=−

k

1

The lines are parallel if

m

1

=m

2

3

2

=−

k

1

k=−

2

3

The lines are perpendicular if

m

1

×m

2

=−1

3

2

(−

k

1

)=−1

⇒k=

3

2