Grade 12th PassAnalytical Geometry
The minimum distance of 4x2+4y2+4x-4y+5=0 from the line -4x+4y=3 is_______________?
The minimum distance of 4x2+4y2+4x-4y+5=0 from the line -4x+4y=3 is_______________?
2 Answers
Ashwin Muralidharan IIT Madras
Approved Tutor Answer14 Years agoHi Menka,
The first equation is a circle.
And you have a line.
Concept for the problem:
Draw a perpendicula from the centre of the circle to the line.
Find the distance of the centre form the line.... {say this is "x"}
The minimum distance will be along the line from the centre and perpendicular to this straight line.
The required distance would be D = (x-r) --------- where r is the radius of the circle.
Kindly do the workings.
Hope this helps.
Best Regards,
Ashwin (IIT Madras).
ankitesh gupta
PLZZZZZZZZZZZZZZZZ APPROVE THE ANSWER IF IT HELPED YOU BY CLICKING THE YES BUUTON..........................................
Other Related Questions on analytical geometry
- The locus of the point represented by x= t^2 +t+1 and y=t^-t+1 is
- The locus of the point represented by x= t^2 +t+1 and y=t^-t+1 is
analytical geometry
Last Activity: 4 Years ago
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)
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
Last Activity: 4 Years ago
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
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
Last Activity: 4 Years ago
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.
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
Last Activity: 4 Years ago
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
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
Last Activity: 4 Years ago