1
JEE Main 2024 (Online) 6th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The function $$f(x)=\frac{x^2+2 x-15}{x^2-4 x+9}, x \in \mathbb{R}$$ is

A
both one-one and onto.
B
onto but not one-one.
C
neither one-one nor onto.
D
one-one but not onto.
2
JEE Main 2024 (Online) 6th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The interval in which the function $$f(x)=x^x, x>0$$, is strictly increasing is

A
$$(0, \infty)$$
B
$$\left(0, \frac{1}{e}\right]$$
C
$$\left[\frac{1}{e^2}, 1\right)$$
D
$$\left[\frac{1}{e}, \infty\right)$$
3
JEE Main 2024 (Online) 6th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A company has two plants $$A$$ and $$B$$ to manufacture motorcycles. $$60 \%$$ motorcycles are manufactured at plant $$A$$ and the remaining are manufactured at plant $$B .80 \%$$ of the motorcycles manufactured at plant $$A$$ are rated of the standard quality, while $$90 \%$$ of the motorcycles manufactured at plant $$B$$ are rated of the standard quality. A motorcycle picked up randomly from the total production is found to be of the standard quality. If $$p$$ is the probability that it was manufactured at plant $$B$$, then $$126 p$$ is

A
54
B
66
C
56
D
64
4
JEE Main 2024 (Online) 6th April Morning Shift
Numerical
+4
-1
Change Language

Let $$x_1, x_2, x_3, x_4$$ be the solution of the equation $$4 x^4+8 x^3-17 x^2-12 x+9=0$$ and $$\left(4+x_1^2\right)\left(4+x_2^2\right)\left(4+x_3^2\right)\left(4+x_4^2\right)=\frac{125}{16} m$$. Then the value of $$m$$ is _________.

Your input ____
JEE Main Papers
2023
2021
EXAM MAP