Q.
The tangents drawn from the origin to the circle x2+y2- 2px–2qy+q2=0 are perpendicular if
see full answer
Start JEE / NEET / Foundation preparation at rupees 99/day !!
21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!
An Intiative by Sri Chaitanya
a
p2+q2=1
b
p2-q2=1
c
p2-q2=0
d
none of these
answer is C.
(Unlock A.I Detailed Solution for FREE)
Ready to Test Your Skills?
Check your Performance Today with our Free Mock Test used by Toppers!
Take Free Test
Detailed Solution
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.
Watch 3-min video & get full concept clarity