IPMAT IndoreGeometry > Hard15+352\frac{\sqrt{15} + \sqrt{35}}{2}215+35 m888 m13\sqrt{13}13 m666 m✅ Correct Option: 1Related questions:IPMAT Indore 2023Which of the following straight lines are both tangent to the circle x2+y2−6x+4y−12=0x ^ 2 + y ^ 2 - 6x + 4y - 12 = 0x2+y2−6x+4y−12=0?IPMAT Indore 2019The circle x2+y2−6x−10y+k=0x^2 + y^2 - 6x - 10y + k = 0x2+y2−6x−10y+k=0 does not touch or intersect the coordinate axes. If the point (1,4)(1, 4)(1,4) does not lie outside the circle, and the range of kkk is (a,b](a, b](a,b], then a+ba + ba+b isIPMAT Indore 2023In the xy-plane let A=(−2,0),B=(2,0)A = (- 2, 0), B = (2, 0)A=(−2,0),B=(2,0) . Define the set S as the collection of all points C on the circle x2+y2=4x ^ 2 + y ^ 2 = 4x2+y2=4 such that the area of the triangle ABC is an integer. The number of points in the set S is