Correct Answer: 1

Solution : $\frac{3-\operatorname{\sin}^2 A+\operatorname{\cos}^2 A}{2+2 \operatorname{\cos}^2 A}$
$=\frac{1-\operatorname{\sin}^2 A+2+\operatorname{\cos}^2 A}{2+2 \operatorname{\cos}^2 A}$
$=\frac{\operatorname{\cos}^2 A+2+\operatorname{\cos}^2 A}{2+2 \operatorname{\cos}^2 A}$ [$\because\cos^2 A=1-\sin^2 A$]
$=\frac{2+2\operatorname{\cos}^2 A}{2+2 \operatorname{\cos}^2 A}$
$=1$
Hence, the correct answer is 1.

Hello aspirant,

The final session results and the JEE Main 2024 cutoff will be made available on jeemain.nta.nic.in by NTA. To estimate their estimated qualifying marks for JEE Main 2024, candidates can consult the JEE Main cutoff from the previous year. The minimum score needed in JEE Mains to be

Correct Answer: Let the lamp of knowledge be lit in every heart.

Solution : The second option is the correct answer.

The object in the original sentence is the lamp of knowledge in every heart. This is what we want to bring to the forefront of passive construction. In the

Correct Answer: times of natural

Solution : The underlined part can be improved by choosing the first option.

Explanation: The original phrase "Even in time of natural disasters" is grammatically correct but can be refined for better clarity. The suggested improvement, "Even in times of natural disasters" is a more

Correct Answer: –, +, ÷, =

Solution : Given:
25 * 2 * 220 * 11 * 43

Replace * with the mathematical signs and solve the equations one by one.
Let's check the given options –
First option: +, –, ×, =
⇒ 25 + 2 – 220 ×

Correct Answer: 2475

Solution : The curved surface area (CSA) of a cone is given by the formula:
$\text{CSA} = \pi r l$
Where $r$ is the radius and $l$ is the slant height.
Given that the radius $r$ is 21 cm and the slant height $l$ is 25 cm.