Question

Find the distance of each the following lines from the origin.

(a),4x_3y=10
b,x_5y+2=0
c,3x+y_7=0​

Answer 1

Explanation:

3x+y−7=0 and x+2y+9=0

write in the form y=mx+c

i.e.y=−3x+7,y=

2

−x

​

−

2

9

​

∴m

1

​

=−3 and m

2

​

∓−

2

1

​

tan(A−B)=

∣

∣

∣

∣

∣

​

1+tanAtanB

tanA−tanB

​

∣

∣

∣

∣

∣

​

∣

∣

∣

∣

∣

​

1+(−3)(−y

2

​

)

−3−(−y

2

​

)

​

∣

∣

∣

∣

∣

​

=

∣

∣

∣

∣

∣

​

5/2

−5/2

​

∣

∣

∣

∣

∣

​

=1

∴ Angle b/w then is tan

−1

(1)=45

∘

=

4

π

​