Question

find the coordinates of the point p(2,3) on a mirror x-2y+5=0​

Answer 1

Answer:

Correct option is

B

(2,−1)

Let the image of the point O(0,0) is

p(h,k)

4x−2y−5=0−(i)

Equation of OP is

y−0=

2

−1

(x−0)

⇒x=−2y−(ii)

Using (ii) in (i)

4(−2y)−2y−5=0

⇒−10y=5

⇒y=

2

−1

∴x=−2(

2

−1

)=1

Hence, Q(1,

2

−1

)

∴

2

λ+0

=1,

2

k+0

=

2

−1

∴λ=0,k=−1

Hence, Image is (2,−1)