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


Answers : (1)


radius of circle=2

so length of chord=2√2

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


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
To Win!!!
Click Here for details
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...
Ravi 18 days ago
On the portion of the straight line x + y = 2 which is intercepted between the axes, a square is constructed away from the origin, with this portion as one of its side. then the point of...
soln: point of intersection of its diagonals is center of the square.... as shown in the image below the center is P (2,2) thanks and regards
Ajay Verma 4 months ago
If two tangents to the parabola y 2 =4ax from a point P make an angle θ 1 and θ 2 with the axis of the parabola, then find the locus of P if cosθ 1 cosθ 2 =λ...
Let the equation of tangent in slope form be y= mx + a/m Let point P be (h,k) hence this point will satisfy the line there fore: k = mh + a/m or mh^2 - km + a = 0 (a quadratic in 'm' which...
Pratik Tibrewal 10 months ago
Hi, Please elaborate your question....
Shobhit Varshney 27 days ago
What is the value of ∫ e -x (1-tanx)secx dx .
Hi, Just differentiate your answer with respect to x, if you are getting the original function (as in the question), then your answer is correct, otherwise wrong....
Shobhit Varshney one month ago
Hi, Please use the integration formula by parts and take e-x to be first function and the remaining to be second...
Shobhit Varshney one month ago
I just want the answer to see whether my answer is correct or not.
Shibashis Mallik one month ago
let x,y,z be three non negative integers such that x+y+z=10. the maximum possible value of xyz+xy+yz+zx is
Hello Student, use the flg concept AM >= GM >= HM x+y+z=10 so xyz+xy+yz+zx = xyz(1+ 1/x + 1/y + 1/z) ….…...(1) Now GM<=AM Similarily HM <= AM 1/x + 1/y + 1/z <=...
Nishant Vora 22 days ago
View all Questions »