Parabola

Section: Mathematics
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Question : 11 of 31
 
Marks: +1, -0
Answer the following by appropriately matching the lists based on the information given in the paragraph.
Let the circles C1:x2+y2=9 and C2:(x−3)2+(y−4)2=16 intersect at the points X and Y. Suppose that another circle C3:(x−h)2+(y−k)2=r2 satisfies the following conditions :
(i) Centre of C3 is collinear with the centres of C1 and C2
(ii) C1 and C2 both lie inside C3, and
(iii) C3 touches C1 at M and C2 at N
Let the line through X and Y intersect C3 at Z and W, and let a common tangent of C1and C3 be a tangent to the parabola x2=8αy
There are some expressions given in the List – I whose values are given in List – II below
List IList II
I) 2h+kP) 6
II) ‌‌
‌Length of‌ZW
‌Length of‌XY
Q) √6
III) ‌‌
‌Area of triangle MZN‌
‌Area of triangle ZMW‌
R)
5
4
IV) αS)
21
5
T) 2√6
U)
10
3
Which of the following is the only CORRECT combination?
[JEE Adv 2019 P2]
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