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Locus of the midpoint of any focal chord of $\mathrm{y}^2=4 \mathrm{ax}$ is

Option: 1
$\mathrm{y}^2=\mathrm{a}(\mathrm{x}-2 \mathrm{a})$

Option: 2
$\mathrm{y}^2=2 \mathrm{a}(\mathrm{x}-2 \mathrm{a})$

Option: 3
$\mathrm{y}^2=2 \mathrm{a}(\mathrm{x}-\mathrm{a})$

Option: 4
$\text{None of these}$

Let the midpoint be $\mathrm{P}(\mathrm{h}, \mathrm{k})$ . Equation of this chord is $\mathrm{\mathrm{T}=\mathrm{S}_1}$ . i.e., $\mathrm{\mathrm{yk}-2 \mathrm{a}(\mathrm{x}+\mathrm{h})=\mathrm{k}^2-4 \mathrm{ah}}$ . It must pass through $(\mathrm{a}, 0)$

$\mathrm{\Rightarrow 2 \mathrm{a}(\mathrm{a}+\mathrm{h})=\mathrm{k}^2-4 \mathrm{ah}}$ . Thus required locus is $\mathrm{\mathrm{y}^2=2 \mathrm{ax}-2 \mathrm{a}^2.}$

Hence option 2 is correct.

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Posted by

SANGALDEEP SINGH

A first order reaction takes 30 minute for 20% decomposition $\mathrm{t_\mathrm{1/2}}$ for the reaction is approx..

Option: 1
66 min

Option: 2
93 min

Option: 3
116 min

Option: 4
Infinite time

t1/2=99min

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Posted by

Kartik

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What is the wavelength of a photon with energy $3.0 \times 10^{-19} \text{ J}$ , according to Planck's quantum theory?
Option: 1
$1.15 \times 10^{-7} \text{ m}$

Option: 2
$2.50 \times 10^{-7} \text{ m}$

Option: 3
$5.56 \times 10^{-7} \text{ m}$

Option: 4
$9.23 \times 10^{-7} \text{ m}$

C is correct answer,

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Posted by

Mohit singh

In a one component second order reaction,if the concentration of the reactant is reduced to half , the rate
Option: 1
increases two times

Option: 2
increases four times

Option: 3
decreases to one half

Option: 4
decreases to one fourth

List the similarities and difference between Aerobis and Anaerobis respiration

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Posted by

Paban Sharma

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

A massless string connects two pulley of masses ' $2 \mathrm{~kg}$ ' and ' $1 \mathrm{~kg}$ ' respectively as shown in the figure.

The heavier pulley is fixed and free to rotate about its central axis while the other is free to rotate as well as translate. Find the acceleration of the lower pulley if the system was released from the rest. [Given, $g=10 \mathrm{~m} / \mathrm{s}^2$ ]
Option: 1
$\frac{4}{3} \mathrm{~gm} / \mathrm{s}^2$

Option: 2
$\frac{3}{2} \mathrm{~gm} / \mathrm{s}^2$

Option: 3
$\frac{3}{4} \mathrm{~gm} / \mathrm{s}^2$

Option: 4
$\frac{2}{3} \mathrm{~gm} / \mathrm{s}^2$

3/4gm/s2

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Posted by

Guru G

Calculate the acceleration of block $m_1$ of the following diagram. Assume all surfaces are frictionless . Here m₁ = 100kg and m₂ = 50kg

Option: 1
0.33m/s²

Option: 2
0.66m/s²

Option: 3
1m/s²

Option: 4
1.32m/s²

0.66m/s2

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Posted by

Guru G

NEET 2024 Most scoring concepts

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Mercury in water changes to soluble
Option: 1
Dimethyl mercury

Option: 2
diethyl mercury

Option: 3
$Hg_2Cl_2$

Option: 4
None of these

2

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Posted by

Karumudi.santhoshreddy

No. of transition state in given figure

Option: 1
1

Option: 2
2

Option: 3
3

Option: 4
4

2

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Posted by

Mura

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In the following the most stable conformation of n-butane is:
Option: 1

Option: 2

Option: 3

Option: 4

4

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Posted by

Jayasri srikanth

When cell has stalled DNA replication fork, which checkpoint should be predominantly activated?

Option: 1
G₁/S

Option: 2
G₂/M

Option: 3
M

Option: 4
Both G₂M and M

G₂/M should be activated as the cell has stalled DNA replication fork.

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Posted by

Ajit Kumar Dubey

JEE Main high-scoring chapters and topics

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