The locus of the centre of the circle for which one end of the diameter is (3,3) while the other end lies on the line x+y=4.

2 years ago


Answers : (1)


let (h,k) be the centre of the circle and other end of diameter be (x1,y1).

h= (x1+3)/2      and        k= (y1+3)/2

or, x1=2h-3       and        y1=2k-3

but (x1,y1) lie on x+y=4,


or, h+k=5

for locus, replace (h,k) by (x,y)..

thus, locus is  x+y=5


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
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 9 months ago
The length of subnormal to the parabola y2=4 ax at any point is equal to
The length od the subnormal is always constant and is eqaul to the semi latusrectum i.e. 2a Thanks & Regards Rinkoo Gupta AskIITians Faculty
Rinkoo Gupta 5 months ago
Find the equation of circle passing through (3, -6) and touching both the axes ? (a) x 2 + y 2 – 6x + 6y +9 =0 (b) x 2 + y 2 + 6x – 6y +9 =0 (c) x 2 + y 2 – 30x + 30y + 225 =0 (d) x 2 + y 2...
solution: ans: “a” and “ c” both AS given circle is touching both the axis and passing through (3, -6) so its clear that circle would be in 4 th quadrant .. so the...
Ajay Verma 3 months ago
(*) If x = tan A – tan B, y = cot B – cot A then 1/x + 1/y =
x = tan A – tan B = sin A / cos A – sin B / cosB =(sinA cosB – cosA sinB)/ cosA cosB = sin(A – B)/cosA cosB y = cotB – cotA = cosB/sinB – cosA/sinA =(sinA cosB – cosA sinB)/sinA sinB = sin...
Y RAJYALAKSHMI 2 months ago
Pl. change the answer to cot (A – B)
Y RAJYALAKSHMI 2 months ago
integration rootsquare cos2A/sinA=
Hello student, Please find the answer to your question below
Nishant Vora one month ago
Integrate cosecx.sec3x
Hello Student, Thanks & Regards Arun Kumar Btech, IIT Delhi Askiitians Faculty
Arun Kumar 3 months ago
View all Questions »