Questions
contains only one element
a
One
b
Two
c
Zero
d
More than two
detailed solution
Correct option is A
x2+y2+2x≤1⇒x+12+y2≤22 It represents interior and boundary of the circle having centre at -1,0 and radius 2since the given two regions have only one point common ⇒the line x - y +c =0 is tangent of the circle. The perpendicular distance from centre to the line = radius −1+c2=2⇒c=3;c=−1Reject c=3 ( since number of common points are infinity ). If c=−1⇒ number of common points is =1 .Talk to our academic expert!
Similar Questions
The area of the quadrilateral formed by the tangents from the point (2, -1) to the circle
799 666 8865
support@infinitylearn.com
6th Floor, NCC Building, Durgamma Cheruvu Road, Vittal Rao Nagar, HITEC City, Hyderabad, Telangana 500081.
free study material
JEE
JEE Mock Tests
JEE study guide
JEE Revision Notes
JEE Important Questions
JEE Sample Papers
JEE Previous Year's Papers
NEET
NEET previous year’s papers
NEET important questions
NEET sample papers
NEET revision notes
NEET study guide
NEET mock tests
Popular Books
HC Verma Part 1HC Verma Part 2RS AgarwalRD SharmaLakhmir SinghDK GoelSandeep GargTS GrewalNCERT solutions
Class 12 NCERT SolutionsClass 11 NCERT SolutionsClass 10 NCERT SolutionsClass 9 NCERT SolutionsClass 8 NCERT SolutionsClass 7 NCERT SolutionsClass 6 NCERT Solutions
