Match the following | Column I | Column II | |---|---| |

MATHEMATICS · Subjective · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

Match the following
Column IColumn II
(A) The circles x2+y2+2x+c=0x^2 + y^2 + 2x + c = 0 ( c>0c > 0 ) and x2+y2+2y+c=0x^2 + y^2 + 2y + c = 0 touch each other, then the value of 2c2c is(p) 1
(B) The circles x2+y2+2x+3y+c=0x^2 + y^2 + 2x + 3y + c = 0 ( c>0c > 0 ) and x2+y2−x+2y+c=0x^2 + y^2 - x + 2y + c = 0 intersect orthogonally, then the value of 2c2c is(q) 2
(C) The circle x2+y2=9x^2 + y^2 = 9 is contains the circle x2+y2−2x+1−c2=0x^2 + y^2 - 2x + 1 - c^2 = 0 ( c>0c > 0 ), then 2c2c can be(r) 3
(D) The circle x2+y2=9x^2 + y^2 = 9 is contains in the circle x2+y2−2x+1−c24=0x^2 + y^2 - 2x + 1 - \frac{c^2}{4} = 0 ( c>0c > 0 ), then (c−6)(c-6) can be(s) 4

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