Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Column – I Column – II
[16JM110516]
A
If director circle of two given circles C 1 and C 2 of equal (p) 13 radii touches each other, then ratio of length of internal common tangent of C 1 and C 2 to their radii equals to
B
Let two circles having radii r 1 and r 2 are orthogonal to each (q) 7 other. If length of their common chord is k times the square root of hormonic mean between squares of their radii, then k 4 equals to
C
The axes are translated so that the new equation of the circle (r) 4 x² + y² − 5x + 2y − 5 = 0 has no first degree terms and the new equation x 2 + y 2 = 
, then the value of λ . is
, then the value of λ . is
D
The number of integral points which lie on or inside the (s) 2 circle x 2 + y 2 = 4 is
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
→ (s), → (r), → (q), → (p)
Length of internal common tangent equals to 2r
r 1 r 2 = 
× 
× 
{where λ is length of common chord)
⇒ λ = 
⇒ k = 
⇒ k 2 = 2
x 2 + y 2 – 5x + 2y – 5 = 0 ⇒ 
+ (y+1) 2 – 5 – 
–1=0
⇒ 
+(y+1) 2 = 
⇒ So the axes are shifted to 
New equation of circle must be x 2 +y 2 = 
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