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Let the circles `G_(1):x^2+y^2=9` and `C_(1):(x-3)^2+(y-4)^2=16`, intersect at the point X and Y . Suppose that another circle. `C_(3):(x-h)^2+(y-k)^2=r^2` satisfies the following conditions : (i) Centre of `C_3` is collinear with the centres of `C_1` and `C_2`. (ii) `C_1 and C_2` both lie inside `C_3` and (iii) `C_3` touches `C_1` and M and `C_2` and N. Let the line through X and Y intersect `C_3` at Z and W, and let a common tangent of `C_1` and `C_3` be a tangent to the parabola `x^2=8ay`. There are some expression given in the List -I whose values are given in List -II below. Which of the following is the only INCORRECT combination ?A. (II),(T)B. (I),(S)C. (II),(Q)D. (I),(U) |
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Answer» Correct Answer - C `because ("length of ZW")/("length of XY")=sqrt(6)` So, combination (ii), Q is only correct. Hence, option (c) is correct. |
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