JEE Main 2022 · 27 Jun · Shift 2 · Mathematics Q17

MathematicsSingle correct+4 / -1Question 17 of 90

If a point $A(x,y)$ lies in the region bounded by the $y$ -axis, straight lines $2y+x=6$ and $5x-6y=30$ , then the probability that $y<1$ is

\dfrac16

\dfrac56

\dfrac23

\dfrac67

Answer and worked solution

Official answer: B

Triangle with vertices $(0,3)$ , $(0,-5)$ , $(6,0)$ : area 24.

Part with $y\ge1$ : triangle $(0,3),(0,1),(4,1)$ , area 4.

Probability. $\dfrac{20}{24}=\dfrac56$ .

(B)

Topics:Classical probability Area under a curve

JEE Main 2022 · 27 Jun · Shift 2, Mathematics question 17