Question

4x-6y=8 touches x-axis at dash point​

Answer 1

Answer:

Correct option is A)

Equation of the line is x−y−3=0 ⇒x=y+3 ...(i)

and equation of the circle is x

2

+y

2

−4x+6y+11=0 ...(ii)

Substituting the value of x from Eq,(i) in Eq. (ii), we get

(y+3)

2

+y

2

−4(y+3)+6y+11=0

⇒y

2

+6y+9+y

2

−4y−12+6y+11=0

⇒2y

2

+8y+8=0⇒y

2

+4y+4=0

⇒(y+2)

2

=0⇒y=−2

Substituting this value of y in Eq. (i), we get x=−2+3=1.