1800-150-456-789
FlagBACK
Flag Analytical Geometry> a variable circle cuts x-y axes so that t...
question mark

a variable circle cuts x-y axes so that the intercept are of given length k1 and k2. find the locus of centre of circle

Satvik Garg , 9 Years ago
Grade 11
anser 1 Answers
Shubham

Last Activity: 7 Years ago

Let the eqn of circle be x^2+y^2+2gx+2fy+c=0 , given x intercept =k1 then,2(g^2-c)^1÷2 =k1 similarly y intercept=k2=2(f^2-c)^1÷2 eliminate c by squaring and replace g by x and f by y to get the locus which equals x^2-y^2=1/4(k1^2-k2^2)

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...

Other Related Questions on analytical geometry

question mark
The locus of the point represented by x= t^2 +t+1 and y=t^-t+1 is
analytical geometry
0 Answer Available

Last Activity: 2 Years ago

question mark
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
0 Answer Available

Last Activity: 2 Years ago

question mark
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
0 Answer Available

Last Activity: 2 Years ago

question mark
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
0 Answer Available

Last Activity: 2 Years ago

question mark
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
0 Answer Available

Last Activity: 2 Years ago