JEE Main 2022 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 29 July 2022, Shift 2, Maths Q30

Question 30 of 90 in this shift, Maths question 30 of 30, Section B.

Let

S=\left\{(x,y)\in\mathbb{N}\times\mathbb{N}:9(x-3)^2+16(y-4)^2\leq144\right\}

and

T=\left\{(x,y)\in\mathbb{R}\times\mathbb{R}:(x-7)^2+(y-4)^2\leq 36\right\}

. Then

n(S\cap T)

is equal to ________

Official answer

NTA final key.