Eamcet Mathematics - Co - ordinate Geometry Circles Free Online Tests | Mock Tests | Preparation | Practice Tests

Study Room

Goto

Eamcet Mathematics
Co - ordinate Geometry Circles

Take Exam

01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99

88 / 99

The equation of the circle whose radius is 5 and which touches the circle x²+y²-2x-4y-20=0 externally at the point (5, 5), is

A. x²+y²-18x-16y-120=0

B. x²+y²-18x-16y+120=0

C. x²+y²+18x+16y+120=0

D. x²+y²+18x-16y+120=0

E. None of the above

View Answer

Correct choice: C

Explanation:

Let the centre of the required circle be (x₁,y₁) and the centre of given circle is (1, 2). Since radii of both circles are same, therefore, point of contact (5, 5) is the mid point of the line joining the centres of both circles. Hence x₁ = 9 and y₁ = 8 . Hence the required equation is (x-9)² + (y-8)² = 25.

88 / 99

Study Room

Lessons

Eamcet Mathematics Co - ordinate Geometry Circles

Eamcet Mathematics
Co - ordinate Geometry Circles