#
The centers of the circles touching both the coordinate axes lies on the line

x – y = 0 or x + y = 0 according to the quadrant in which the circle lies.

Based on this data answer the following 2 questions.

A) If the difference between the radii of the circles passing through (a, b) and touching the axes is C > 0 and a, b > 0 then the least value of a + b is

B) If one of the points of intersection of the two circles touching the axes is (p,q) then the length of the common chord is

The centers of the circles touching both the coordinate axes lies on the line

x – y = 0 or x + y = 0 according to the quadrant in which the circle lies.

Based on this data answer the following 2 questions.

A) If the difference between the radii of the circles passing through (a, b) and touching the axes is C > 0 and a, b > 0 then the least value of a + b is

B) If one of the points of intersection of the two circles touching the axes is (p,q) then the length of the common chord is

### Asked by Sunil Soni | 10th Aug, 2016, 07:24: PM

###
Please post each query seperately.

### Answered by Vijaykumar Wani | 12th Aug, 2016, 04:52: PM

## Related Videos

- Examine whether the point (4, 5) lies outside or inside the circle of equation x^2+y^2-2x-3=0
- SIR PLEASE HELP ME WITH THIS QUESTIONS : 1. Find the equation of the tangent to the circle x^2+y^2=16 drawn from the point (1,4). 2. How many triangles can be formed by joining any 3 of the 9 points when i) no 3 of them are collinear? ii) 5 of them are collinear? 3. AB is a line of fixed length, 6 units, joining the points A(t,0) and B which lies on thepositive y axis. P is a point on AB distant 2 units from A. Express the coordinates of B and P in terms of t. Find the locus of P as t varies. 4. In a triangle ABC, (b^2 - c^2) / (b^2 + c^2) = sin(B - C) / sin(B + C), prove that it is either a right-angled or isoceles triangle.
- 6
- The locus of point for which sum of the squares of distances from cordinate axes is 25 is
- A stadium is in circular shape. Within the stadium some areas have been allotted for a hockey court and a javelin range, as given in the figure. Assume the shape of the hockey court and the javelin range to be square and triangle, resp. The curators would like to accommodate a few more sports in the stadium. Help them by measuring the unallocated region within the stadium.(the radius of the stadium is 200 mts.)
- Find the equation of the circle with centre (-2,3) and radius 4.
- Find the centre and radius of the circle given by the equation (x + 5)
^{2}+ (y + 1 )^{2}= 9 - Find the co-ordinates of the centre and the radius of the circle given by the equation x
^{2}+ y^{2}+ 6x - 8y - 24 = 0. - Find the equation of a circle whose coordinates of the end points of the diameter are (-3,2) and (2,-4).

### Kindly Sign up for a personalised experience

- Ask Study Doubts
- Sample Papers
- Past Year Papers
- Textbook Solutions

#### Sign Up

#### Verify mobile number

Enter the OTP sent to your number

Change