the locus of points from which length of tangent t

Question

the locus of points from which length of tangent to the two circles x²+y²+4x+3=0 x²+y²-6x+5=0 are in the ratio 2:3 is a circle with centre

Manu Singh · Accepted Answer

The length of a tangent from any point (x1,y1) to a circle S=0 is √S1.Let the point be (x,y).Thus According to Question√x^2+y^2+4x+3/√x^2+y^2-6x+5 =2/3On solving further we get,x^2+y^2+12x+7/5=0The center of this circle is (-6,0)

Analytical Geometry> the locus of points from which length of ...

the locus of points from which length of tangent to the two circles x²+y²+4x+3=0 x²+y²-6x+5=0 are in the ratio 2:3 is a circle with centre

Kamal Desai , 7 Years ago

Manu Singh

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> the locus of points from which length of ...

the locus of points from which length of tangent to the two circles x²+y²+4x+3=0 x²+y²-6x+5=0 are in the ratio 2:3 is a circle with centre

Kamal Desai , 7 Years ago

Manu Singh

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