Question

the line through origin meets the line 2x=3y+13 at angles at point Q.Find the co ordinates of Q

plZ give me correct answer with explantation​

Answer 1

Answer:

ANSWER

Equation of a line with slope m-

y=mx+c⟶(i)

Equation of line L

1

-

2x=3y+13{Given}

⇒3y=2x−13

⇒y=

3

2

x−

3

13

⟶(ii)

Comparing eq

n

(i)&(ii), we have

slope of line L

1

(m

1

)=

3

2

Let another line be L

2

with slope m

2

.

As both the line L

1

&L

2

meets at right angle at point Q.

∴m

1

.m

2

=−1

⇒m

2

=

m

1

−1

⇒m

2

=

(

3

2

)

−1

{∵m

1

=

3

2

}

⇒m

2

=

2

−3