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## Recall the equation for a circle with center ( h , k ) ( h , k ) and radius r r . At what point in the first quadrant does the lin

Question

Recall the equation for a circle with center ( h , k ) ( h , k ) and radius r r . At what point in the first quadrant does the line with equation y = 2 x + 1 y = 2 x + 1 intersect the circle with radius 5 and center (0, 1)?

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Math High School
11 mins
2023-01-07T19:05:28+00:00
2023-01-07T19:05:28+00:00 1 Answer
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## Answer ( 1 )

pointin the first quadrant at which the lineintersectsthe circle is; ;(√5, 2√5+1).## Which point in the first quadrant does the line intersects the circle?

equationof a circle whoseradiusis5andcenteris;(0, 1)is as follows;y = 2x +1, intersects the circle in the firstquadrant;x = ±√5,; (√5, 2√5+1).equationof acircle;