1
JEE Main 2023 (Online) 8th April Evening Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language

The negation of $$(p \wedge(\sim q)) \vee(\sim p)$$ is equivalent to :

A
$$p \wedge q$$
B
$$p \wedge(\sim q)$$
C
$$p \wedge(q \wedge(\sim p))$$
D
$$p \vee(q \vee(\sim p))$$
2
JEE Main 2023 (Online) 8th April Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The absolute difference of the coefficients of $$x^{10}$$ and $$x^{7}$$ in the expansion of $$\left(2 x^{2}+\frac{1}{2 x}\right)^{11}$$ is equal to :

A
$$11^{3}-11$$
B
$$13^{3}-13$$
C
$$12^{3}-12$$
D
$$10^{3}-10$$
3
JEE Main 2023 (Online) 8th April Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The area of the quadrilateral $$\mathrm{ABCD}$$ with vertices $$\mathrm{A}(2,1,1), \mathrm{B}(1,2,5), \mathrm{C}(-2,-3,5)$$ and $$\mathrm{D}(1,-6,-7)$$ is equal to :

A
48
B
$$8 \sqrt{38}$$
C
54
D
$$9 \sqrt{38}$$
4
JEE Main 2023 (Online) 8th April Evening Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language

Let $$\mathrm{P}$$ be the plane passing through the line

$$\frac{x-1}{1}=\frac{y-2}{-3}=\frac{z+5}{7}$$ and the point $$(2,4,-3)$$.

If the image of the point $$(-1,3,4)$$ in the plane P

is $$(\alpha, \beta, \gamma)$$ then $$\alpha+\beta+\gamma$$ is equal to :

A
10
B
12
C
9
D
11
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