1
JEE Main 2022 (Online) 25th July Evening Shift
Numerical
+4
-1
Change Language

The total number of monobromo derivatives formed by the alkanes with molecular formula C5H12 is (excluding stereo isomers) __________.

Your input ____
2
JEE Main 2022 (Online) 25th July Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

For $$z \in \mathbb{C}$$ if the minimum value of $$(|z-3 \sqrt{2}|+|z-p \sqrt{2} i|)$$ is $$5 \sqrt{2}$$, then a value Question: of $$p$$ is _____________.

A
3
B
$$\frac{7}{2}$$
C
4
D
$$\frac{9}{2}$$
3
JEE Main 2022 (Online) 25th July Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The number of real values of $$\lambda$$, such that the system of linear equations

2x $$-$$ 3y + 5z = 9

x + 3y $$-$$ z = $$-$$18

3x $$-$$ y + ($$\lambda$$2 $$-$$ | $$\lambda$$ |)z = 16

has no solutions, is

A
0
B
1
C
2
D
4
4
JEE Main 2022 (Online) 25th July Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The number of bijective functions $$f:\{1,3,5,7, \ldots, 99\} \rightarrow\{2,4,6,8, \ldots .100\}$$, such that $$f(3) \geq f(9) \geq f(15) \geq f(21) \geq \ldots . . f(99)$$, is ____________.

A
$${ }^{50} P_{17}$$
B
$${ }^{50} P_{33}$$
C
$$33 ! \times 17$$!
D
$$\frac{50!}{2}$$
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