IPMAT Indore 2019 (SA) - The circle x^2 + y^2 - 6x - 10y + k = 0 does not touch or intersect the coordinate axes. If the point (1, 4) does not lie outside the circle, and the range of k is (a, b], then a + b is | PYQs + Solutions | AfterBoards
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IPMAT Indore 2019

Geometry
>
Circles

Hard

The circle x2+y2−6x−10y+k=0x^2 + y^2 - 6x - 10y + k = 0 does not touch or intersect the coordinate axes. If the point (1,4)(1, 4) does not lie outside the circle, and the range of kk is (a,b](a, b], then a+ba + b is

Entered answer:

Correct Answer: 54

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