Intersection Of Two Circles
Gbogbo ọrọ náà
Two circles can miss each other, touch at a single point, or cross at two. Finding where they meet looks daunting, because each equation has squared terms, but a single subtraction sweeps the squares away and leaves a straight line: the common chord. From there the problem becomes the familiar line-meets-circle.
In this lesson you will subtract one circle equation from the other to find the line through the intersection points, substitute back into a circle to find the points themselves, and use the number of solutions to decide whether the circles intersect, touch or miss.
Ebumnobi
- Solve problems involving the intersection of two circles, including finding points of intersection and the equation of a common chord, and determining whether two circles intersect, touch or do not intersect.
Nkuzi Olu
Gee ntị na nkuzi a na ngwa
Maapụ uche
E seela isiokwu a ka ị hụ otu echiche si ejikọta.
Mepee maapụ uche na ngwa
Kaadị ncheta
Omume ncheta ngwa ngwa n'ihe a na-anwale n'isiokwu a.
Mee omume kaadị ndị a na ngwa
Akwụkwọ Ọmụmụ
Ndetu Nkuzi Zuru Ezu di na Ngwa Green Bridge
Nweta ngwa Green Bridge CBT na ekwenti gi ma o bu kompiuta maka ulo akwukwo IGCSE zuru oke: akwukwo ule ndi gara aga, usoro nyocha, eserese uche, kaadi omumu na nkuzi olu.
Nnyocha Ọmụmụ
Ekele diri gi maka imecha ihe karịrị na Intersection Of Two Circles. Ugbu a na ị na-enyochakwa isi echiche na echiche ndị dị mkpa, ọ bụ oge iji nwalee ihe ị ma. Ngwa a na-enye ụdị ajụjụ ọmụmụ dị iche iche emebere iji kwado nghọta gị wee nyere gị aka ịmata otú ị ghọtara ihe ndị a kụziri.
Ị ga-ahụ ngwakọta nke ụdị ajụjụ dị iche iche, gụnyere ajụjụ chọrọ ịhọrọ otu n’ime ọtụtụ azịza, ajụjụ chọrọ mkpirisi azịza, na ajụjụ ede ede. A na-arụpụta ajụjụ ọ bụla nke ọma iji nwalee akụkụ dị iche iche nke ihe ọmụma gị na nkà nke ịtụgharị uche.
Jiri akụkụ a nke nyocha ka ohere iji kụziere ihe ị matara banyere isiokwu ahụ ma chọpụta ebe ọ bụla ị nwere ike ịchọ ọmụmụ ihe ọzọ. Ekwela ka nsogbu ọ bụla ị na-eche ihu mee ka ị daa mba; kama, lee ha anya dị ka ohere maka ịzụlite onwe gị na imeziwanye.
- Subtracting one circle equation from another eliminates which terms? A. the constants B. the x^2 and y^2 terms C. the x terms only D. nothing Answer: B
- The line obtained by subtracting two circle equations is called the: A. tangent B. common chord C. diameter D. normal Answer: B
- For x^2 + y^2 = 25 and (x - 8)^2 + y^2 = 41, the common chord is: A. x = 3 B. y = 3 C. x = 4 D. y = 4 Answer: A
- The circles x^2 + y^2 = 25 and (x - 8)^2 + y^2 = 41 meet at: A. (3, 4) and (3, -4) B. (4, 3) and (-4, 3) C. (5, 0) only D. they do not meet Answer: A
- If substituting the common chord gives y^2 = 0, the circles: A. intersect at two points B. touch at one point C. miss D. are identical Answer: B
Rue ajuju ndi a n'ime ngwa ahu
Rue ajuju ndi a n'ime ngwa ahu
Akwụkwọ A Na-atụ Aro
Meecha Ajụjụ Ule Ọmarịcha
Ị chọrọ ime ajụjụ ule ọmarịcha gbasara Intersection Of Two Circles? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.
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