JEE Main 2021 (17 Mar, Shift 2) Maths Q73: Conic Sections

Question

Let the tangent to the circle

x^2+y^2=25

at the point R(3, 4) meet

x

-axis and

y

-axis at points P and Q, respectively. If r is the radius of the circle passing through the origin O and having centre at the incentre of the triangle OPQ, then

r^2

is equal to :

(1) $\frac{125}{72}$
(2) $\frac{625}{72}$ Official answer
(3) $\frac{529}{64}$
(4) $\frac{585}{66}$

Official answer

Option 2

NTA final key.

Accepted Answer

Option 2: $\frac{625}{72}$

Answer

$\frac{125}{72}$

Answer

$\frac{625}{72}$

Answer

$\frac{529}{64}$

Answer

$\frac{585}{66}$

JEE Main 17 March 2021, Shift 2, Maths Q73

Same idea in other shifts