Home
Class 11
MATHS
Answer the following:Show that the circl...

Answer the following:Show that the circles touch each other internally.Find their point of contact and the equation of their common tangent.`x^2+y^2+4x-12y+4=0,x^2+y^2-2x-4y+4=0`

Text Solution

Verified by Experts

The correct Answer is:
`((8)/(5), (6)/(5)), 3x-4y=0`
Promotional Banner

Similar Questions

Explore conceptually related problems

Answer the following:Show that the circles touch each other internally.Find their point of contact and the equation of their common tangent. x^2+y^2-4x-4y-28=0,x^2+y^2-4x-12=0

Answer the following:Show that the circles touch each other externally.find their point of contact and the equation of their common tangent. x^2+y^2-4x-10y+19=0,x^2+y^2+2x+8y-23=0

Answer the following:Show that the circles touch each other externally.find their point of contact and the equation of their common tangent. x^2+y^2-4x+10y+20=0,x^2+y^2+8x-6y-24=0

Show that the line 8y+x=17 touches the ellipse x^2+4y^2=17 . Find the point of contact.

Solve the following:Show that the line 3x-4y+15=0 is a tangent to the circle x^2+y^2=9 ,Find the point of contact.

Find the equation of the tangent to the circle x^2+y^2-4x-6y-12=0 at (-1,-1)

Answer the following:Show that the line 2x+y+6=0 is a tangent to the circle, x^2+y^2+2x-2y-3=0 .Find its point of contact.

Find the equation of common tangent to the parabola y^2=4x and x^2=32y .

Write the parametric equations of the circle. x^2+y^2+2x-4y-4=0

Answer the following:Show that x=-1 is a tangent to the circle x^2+y^2-2y=0 at (-1,1)