1
JEE Main 2022 (Online) 27th July Morning Shift
Numerical
+4
-1
Change Language

If the length of the latus rectum of the ellipse $$x^{2}+4 y^{2}+2 x+8 y-\lambda=0$$ is 4 , and $$l$$ is the length of its major axis, then $$\lambda+l$$ is equal to ____________.

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2
JEE Main 2022 (Online) 27th July Morning Shift
Numerical
+4
-1
Change Language

Let $$S=\left\{z \in \mathbb{C}: z^{2}+\bar{z}=0\right\}$$. Then $$\sum\limits_{z \in S}(\operatorname{Re}(z)+\operatorname{Im}(z))$$ is equal to ______________.

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3
JEE Main 2022 (Online) 27th July Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A torque meter is calibrated to reference standards of mass, length and time each with $$5 \%$$ accuracy. After calibration, the measured torque with this torque meter will have net accuracy of :

A
15%
B
25%
C
75%
D
5%
4
JEE Main 2022 (Online) 27th July Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A bullet is shot vertically downwards with an initial velocity of $$100 \mathrm{~m} / \mathrm{s}$$ from a certain height. Within 10 s, the bullet reaches the ground and instantaneously comes to rest due to the perfectly inelastic collision. The velocity-time curve for total time $$\mathrm{t}=20 \mathrm{~s}$$ will be:

(Take g = 10 m/s2).

A
JEE Main 2022 (Online) 27th July Morning Shift Physics - Motion in a Straight Line Question 50 English Option 1
B
JEE Main 2022 (Online) 27th July Morning Shift Physics - Motion in a Straight Line Question 50 English Option 2
C
JEE Main 2022 (Online) 27th July Morning Shift Physics - Motion in a Straight Line Question 50 English Option 3
D
JEE Main 2022 (Online) 27th July Morning Shift Physics - Motion in a Straight Line Question 50 English Option 4
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