CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

The number of integer values of k for which the equation x2+y2+(k1)xky+5=0 represent a circle whose radius cannot exceed 3, is



Your Answer
A

5

Correct Answer
B

4

Your Answer
C

11

Your Answer
D

10


Solution

The correct option is B

4


Let the radius be r

r30r29

Now, radius of the given circle is 14(k1)2+14k25

014(k1)2+14k259

0k22k+1+k22036

192k22k55

384k24k110

394k24k+1111

39(2k1)2111

(2k1)2=49, 64, 81, 100

2k1=±7, ±9  [As k is an integer]

k can take four integral values.

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
View More


People also searched for
View More



footer-image