Between the following two statements : Statement-I : Let \overrightarrow{a}=\stackrel{\^}{i}+2 \stackrel{\^}{j}-3 \stackrel{\^}{k} and \overrightarrow{b}=2 \stackrel{\^}{i}+\stackrel{\^}{j}-\stackrel{\^}{k}. Then the vector { {\r}}^{\to} satisfying \overrightarrow{a} \times \overrightarrow{r}=\overrightarrow{a} \times \overrightarrow{b} and \overrightarrow{a} \cdot \overrightarrow{r}=0 is of magnitude \sqrt{10}. Statement-II : In a triangle {\ABC}, \cos 2 {\A}+\cos 2 {\B} +\cos 2 {\C} \geq-\frac{3}{2} . [9 Apr 2024 Shift 2]

Correct Answer is : Statement-I is incorrect but Statement-II is correct

Both Statement-I and Statement-II are incorrect

Statement-I is incorrect but Statement-II is correct

Both Statement-I and Statement-II are correct

Statement-I is correct but Statement-II is incorrect

JEE Main 9 Apr 2024 Shift 2 Solved Paper

Section: Mathematics

Question : 10 of 90

Marks: +1, -0

Between the following two statements :
Statement-I : Let

→

−3

‌‌ and

→

−

. Then the vector

→

satisfying

→

and

→

⋅

→

=0 is of magnitude √10.
Statement-II : In a triangle ABC,cos‌2‌A+cos‌2‌B
+cos‌2‌C≥−‌

[9 Apr 2024 Shift 2]

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