Prove that the tangent to a circle x^2+y^2=5 at t

Question

Prove that the tangent to a circle x^2+y^2=5 at the point (1,-2) also touches the circle x^2+y^2 -8x+6y+20 =0 and find its point of contact.

Harsh · Accepted Answer

Firstly find the slope of the tangent at (1,-2)using condition of tangency. Then find the distance of the line obtained with slope and point (1,-2)from centre of other circle. IDistance will be equal to other circle radii.

Analytical Geometry> Prove that the tangent to a circle x^2+y^...

Prove that the tangent to a circle x^2+y^2=5 at the point (1,-2) also touches the circle x^2+y^2 -8x+6y+20 =0 and find its point of contact.

Ram lakhan Meena , 7 Years ago

Harsh

Provide a better Answer & Earn Cool Goodies

LIVE ONLINE CLASSES

Ask a Doubt

The locus of the point represented by x= t^2 +t+1 and y=t^-t+1 is

analytical geometry

show that the centroids of the triangles of which three perpendiculars lie along the lines y=m1x,y=m2x,y=m3x lie on y(3+m2m3+m3m2+m1m2)=x(m1+m2+m3+3m1m2m3)

analytical geometry

show that the equation (ab-h²)(ax²+2hxy+by²+2gx+2fy)+af²+bg²-2fgh=0 represent a pair of straight lines and that these straight lines form a rhombus with the lines ax²+2hxy+by²=0

analytical geometry

A circle has its center on straight line 5x-2y+1=0 and cuts the x axis at two points whose absciasse are -5,3 find equation of the circle and it's radius.

analytical geometry

Prove that ax^2+by^2+cz^2 +2ux+2vy+2wz+d=0 represent a cone if u^2/a+v^/b+w^2/c=d

analytical geometry

Analytical Geometry> Prove that the tangent to a circle x^2+y^...

Prove that the tangent to a circle x^2+y^2=5 at the point (1,-2) also touches the circle x^2+y^2 -8x+6y+20 =0 and find its point of contact.

Ram lakhan Meena , 7 Years ago

Harsh

Provide a better Answer & Earn Cool Goodies

LIVE ONLINE CLASSES

Ask a Doubt

Other Related Questions on analytical geometry

The locus of the point represented by x= t^2 +t+1 and y=t^-t+1 is

analytical geometry

show that the centroids of the triangles of which three perpendiculars lie along the lines y=m1x,y=m2x,y=m3x lie on y(3+m2m3+m3m2+m1m2)=x(m1+m2+m3+3m1m2m3)

analytical geometry

show that the equation (ab-h²)(ax²+2hxy+by²+2gx+2fy)+af²+bg²-2fgh=0 represent a pair of straight lines and that these straight lines form a rhombus with the lines ax²+2hxy+by²=0

analytical geometry

A circle has its center on straight line 5x-2y+1=0 and cuts the x axis at two points whose absciasse are -5,3 find equation of the circle and it's radius.

analytical geometry

Prove that ax^2+by^2+cz^2 +2ux+2vy+2wz+d=0 represent a cone if u^2/a+v^/b+w^2/c=d

analytical geometry