Intersection Of Two Circles
Akopọ
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.
Awọn Afojusun
- 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.
Akọ̀wé Ẹ̀kọ́
O wa lori ohun elo Green Bridge
Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.
Ìdánwò Ẹ̀kọ́
Oriire fun ipari ẹkọ lori Intersection Of Two Circles. Ni bayi ti o ti ṣawari naa awọn imọran bọtini ati awọn imọran, o to akoko lati fi imọ rẹ si idanwo. Ẹka yii nfunni ni ọpọlọpọ awọn adaṣe awọn ibeere ti a ṣe lati fun oye rẹ lokun ati ṣe iranlọwọ fun ọ lati ṣe iwọn oye ohun elo naa.
Iwọ yoo pade adalu awọn iru ibeere, pẹlu awọn ibeere olumulo pupọ, awọn ibeere idahun kukuru, ati awọn ibeere iwe kikọ. Gbogbo ibeere kọọkan ni a ṣe pẹlu iṣaro lati ṣe ayẹwo awọn ẹya oriṣiriṣi ti imọ rẹ ati awọn ogbon ironu pataki.
Lo ise abala yii gege bi anfaani lati mu oye re lori koko-ọrọ naa lagbara ati lati ṣe idanimọ eyikeyi agbegbe ti o le nilo afikun ikẹkọ. Maṣe jẹ ki awọn italaya eyikeyi ti o ba pade da ọ lójú; dipo, wo wọn gẹgẹ bi awọn anfaani fun idagbasoke ati ilọsiwaju.
- 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
O wa lori ohun elo Green Bridge
Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.
O wa lori ohun elo Green Bridge
Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.
Awọn Iwe Itọsọna Ti a Gba Nimọran
Ṣe Adaṣe Awọn Ibeere Idanwo Adaṣe
Ṣe o fẹ ṣe adaṣe awọn ibeere idanwo adaṣe nipa Intersection Of Two Circles? Ṣe igbasilẹ ohun elo Green Bridge CBT lati wọle si awọn ibeere idanwo adaṣe ati awọn ayẹwo adaṣe kikun fun koko-ọrọ yii.
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