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In this lesson, we will learn how to find points of intersections between circles and lines.

Q1:

Consider the circle ( π₯ β 5 ) + ( π¦ + 2 ) = 2 5 2 2 . Is the line π¦ β 3 = 0 tangent to, intersecting, or disjoint from the circle?

Q2:

Which of the following points lies on the circle π¦ + ( π₯ + 6 ) = 1 4 4 2 2 ?

Q3:

The line β 4 π¦ β 3 π₯ β 2 = 0 meets circle π₯ + π¦ + 6 π₯ + 4 π¦ = 0 ο¨ ο¨ in points π΄ and π΅ . How far is the centre of the circle from π΄ π΅ .

Q4:

Which of the following is a point of intersection between Circles π΄ and π΅ where Circle π΄ has radius 10 and center (9,3) and Circle π΅ has radius 5 and center (0,7)?

Q5:

Which of the following is a point of intersection between Circles A and B where Circle A has radius 13 and center ( β 7 , 7 ) and Circle B has radius 5 and center ( 9 , β 1 ) ?

Q6:

Which of the following points lies on the circle ( π₯ + 1 ) + ( π¦ β 2 ) = 4 2 2 ?

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