1
JEE Main 2023 (Online) 11th April Evening Shift
Numerical
+4
-1
Change Language

Let $$\mathrm{S}=\left\{z \in \mathbb{C}-\{i, 2 i\}: \frac{z^{2}+8 i z-15}{z^{2}-3 i z-2} \in \mathbb{R}\right\}$$. If $$\alpha-\frac{13}{11} i \in \mathrm{S}, \alpha \in \mathbb{R}-\{0\}$$, then $$242 \alpha^{2}$$ is equal to _________.

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2
JEE Main 2023 (Online) 11th April Evening Shift
Numerical
+4
-1
Out of Syllabus
Change Language

If the line $$l_{1}: 3 y-2 x=3$$ is the angular bisector of the lines $$l_{2}: x-y+1=0$$ and $$l_{3}: \alpha x+\beta y+17=0$$, then $$\alpha^{2}+\beta^{2}-\alpha-\beta$$ is equal to _________.

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3
JEE Main 2023 (Online) 11th April Evening Shift
Numerical
+4
-1
Change Language

The number of points, where the curve $$f(x)=\mathrm{e}^{8 x}-\mathrm{e}^{6 x}-3 \mathrm{e}^{4 x}-\mathrm{e}^{2 x}+1, x \in \mathbb{R}$$ cuts $$x$$-axis, is equal to _________.

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4
JEE Main 2023 (Online) 11th April Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

JEE Main 2023 (Online) 11th April Evening Shift Physics - Current Electricity Question 40 English

The current flowing through R$$_2$$ is :

A
$$\frac{1}{2} \mathrm{~A}$$
B
$$\frac{1}{3} \mathrm{~A}$$
C
$$\frac{1}{4} \mathrm{~A}$$
D
$$\frac{2}{3} \mathrm{~A}$$
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