the locus of the mid pt. of a chord of the circle x2 +y2 =4,which subtend a right angle at the origin is:

2 years ago

Share

Answers : (1)

                                        

radius of circle=2


so length of chord=2√2


let O be origin and P be mid-point of chord


OP=sqrt(4-2)=√2


so locus is x2+y2=2

2 years ago

Post Your Answer

More Questions On Analytical Geometry

Ask Experts

Have any Question? Ask Experts
Post Question
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!!
Click Here for details
the normal to the curve at P(x,y) meets the x axis at G. If the distance of G from the origin is twice the abscissa of P , then the curve is a) ellipse b) parabola c) ellipse or hyperbola
 
 
solution: for any curve the equation of normal at ( X1, Y1) (y- y1) = -1/m (x- X1) {where m = slope of tengent or say dy/dx at (x1, Y1) } normal meets the X axis at G.. so ( 0 - y1) = -1/m...
  img
Ajay Verma 8 months ago
 
but sir the answer says it can be both ellipse as well as hyperbola, so can u please prove this as an ellipse too.
 
vansh kharbanda 8 months ago
 
thank you
 
vansh kharbanda 8 months ago
[ r1 – r ]/a + [r2 – r]/b =?
 
 
Hello Student, Thanks & Regards Arun Kumar Btech, IIT Delhi Askiitians Faculty
  img
Arun Kumar 4 months ago
A tangent to the ellipse x 2 +4y 2 =4 meets the ellipse x 2 +2y 2 =6 at P &Q.The angle b/w the tangents at P & Q of ellipse x 2 +2y 2 =6 is......
 
 
Draw the 2 ellipse in the figure. At a point(take for instance (0,1) for convenience and symmtry), draw a tangent to the first ellipse cutting the second at 2 points. As we know the slpoe of...
  img
Ravi 23 days ago
If sinx+siny=root3(cosy-cosx) Prove that sin3x+sin3y=0.
 
 
Hello students, please check the solution of your question given below: sinx+siny = root3 ( cosx-cosy) 2sin(x+y/2)cos(x-y/2) = root3 {2sin(x+y/2)sin(y-x/2)} sin(x+y/2)[cos(x-y/2)-root3....
  img
Sunil Raikwar 3 months ago
 
Dear student, According to the given relation, we would have: If we multiply both sides by a factor of 4, we get: This on simplifying gives us: If the right hand side can be simplified to...
  img
Sumit Majumdar 3 months ago
Period of [sinx]
 
 
Ans: Same pattern will repeat after this. Time period of f(x) Thanks & Regards Jitender Singh IIT Delhi askIITians Faculty
  img
Jitender Singh 4 months ago
View all Questions »