Questions
The tangents drawn from the origin to the circle are perpendicular if
a
p2+q2=1
b
p2-q2=1
c
p2-q2=0
d
none of these
detailed solution
Correct option is C
Equation of the given circle can be written as (x−p)2+(y−q)2=p2 (i)This has (p, q) as the centre and p as the radius showing that it touches y-axis. So one of the tangents from the origin to the circle is y-axis.⇒ Other tangent from the origin to the circle must be x-axis. which is possible if q = ± p.⇒ p2−q2=0.Talk to our academic expert!
Similar Questions
If the length of the chord of the circle along the line is then is equal to
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
