Question

If x=k and k€R is a straight line parallel to _______

Answer 1

might be the answer is y axis.

Answer 2

Step-by-step explanation:

Given family of line is, (2x−3y+4)+k(x−2y+3)=0

2x−3y+4=0....(i) and x−2y+3=0.....(ii)

After solving these two equations we get x=1 and y=2

Now the given point is (2,3)

Let the image of this point in the given line is P(h,k)

So the distance of point P and Q from (1,2) will be same,

Distance Formula =

(x

2

−x

1

)

2

+(y

2

−y

1

)

2

⇒

(2−1)

2

+(3−2)

2

=

(h−1)

2

+(k−2)

2

⇒(h−1)

2

+(k−2)

2

=2

Hence, the locus of P(h,k) is circle with radius

2