1
JEE Main 2023 (Online) 13th April Morning Shift
Numerical
+4
-1
Change Language

Let $$\alpha$$ be the constant term in the binomial expansion of $$\left(\sqrt{x}-\frac{6}{x^{\frac{3}{2}}}\right)^{n}, n \leq 15$$. If the sum of the coefficients of the remaining terms in the expansion is 649 and the coefficient of $$x^{-n}$$ is $$\lambda \alpha$$, then $$\lambda$$ is equal to _____________.

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2
JEE Main 2023 (Online) 13th April Morning Shift
Numerical
+4
-1
Out of Syllabus
Change Language

Let the image of the point $$\left(\frac{5}{3}, \frac{5}{3}, \frac{8}{3}\right)$$ in the plane $$x-2 y+z-2=0$$ be P. If the distance of the point $$Q(6,-2, \alpha), \alpha > 0$$, from $$\mathrm{P}$$ is 13 , then $$\alpha$$ is equal to ___________.

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3
JEE Main 2023 (Online) 13th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language

Match List - I with List - II

List - I
(Layer of atmosphere)
List - II
(Approximate height over earth's surface)
(A) $$\mathrm{F_1}$$ - Layer (I) 10 km
(B) $$\mathrm{D}$$ - Layer (II) 170 - 190 km
(C) Troposphere (III) 100 km
(D) $$\mathrm{E}$$ - Layer (IV) 65 - 75 km

Choose the correct answer from the options given below:

A
A - II, B - IV, C - III, D - I
B
A - II, B-I, C - IV, D - III
C
A - II, B - IV, C - I, D - III
D
A - III, B - IV, C - I, D - II
4
JEE Main 2023 (Online) 13th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Which graph represents the difference between total energy and potential energy of a particle executing SHM vs it's distance from mean position ?

A
JEE Main 2023 (Online) 13th April Morning Shift Physics - Simple Harmonic Motion Question 22 English Option 1
B
JEE Main 2023 (Online) 13th April Morning Shift Physics - Simple Harmonic Motion Question 22 English Option 2
C
JEE Main 2023 (Online) 13th April Morning Shift Physics - Simple Harmonic Motion Question 22 English Option 3
D
JEE Main 2023 (Online) 13th April Morning Shift Physics - Simple Harmonic Motion Question 22 English Option 4
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