Mathematics - Circle Question with Solution | TestHub
MathematicsCircleMiscellaneous/MixedMedium2 minQB
MathematicsMediummatching list
Match each quantity to the possible values.
Column I | Column II |
|---|---|
(A) Unit circle through (1,0), (0,-1), (1/√3, √(2/3)); tan of the acute angle between the tangent at (0,-1) and the line y = x | (p) -4 |
(B) Common tangents from (h,0) to x²+y²=1 and (x-2)²+y²=4; possible h | (q) -2 |
(C) Common chord of x²+y²=8 and (x-a)²+y²=8 subtends right angle at origin; a | (r) 1 |
(D) Tangents from (4,k) to x²+y²=10 perpendicular; k | (s) 2 |
| (t) 4 |
Options:
Answer:
A
Solution:
A: the three listed points lie on the unit circle; its horizontal tangent at (0, -1) meets the line of slope 1 at angle , with tangent 1 (option r). B: the transverse similitude centre of radii 1,2 and centres 0,2 is . C: the common chord is , so the chord subtends a right angle if , or . D: the director circle has radius gives .
Stream:JEESubject:MathematicsTopic:CircleSubtopic:Miscellaneous/Mixed
⏱ 2mℹ️ Source: QB
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