7sin²θ + 3cos²θ = 4sin²θ + 3sin²θ+3cos²θ = 4 4sin²θ + 3(sin²θ + cos²θ) = 4 4sin²θ + 3 (1) = 4 4sin²θ = 4 - 3 = 1 4sin²θ = 1 sin²θ = 1/4 → sinθ = 1/2 sin30° = 1/2 Hence, θ = 30°
Quantity 1 : A and B together can paint a wall in 12 hours. A alone can paint it in 18 hours. B paints for 5 hours, and then A completes the remaining w...
Quantity 1: A car travels from City A to City B, a distance of 240 km, at a speed of 60 km/h. find the total time taken.
Quantity 2: The time tak...
Quantity I: There are two types of animals in a pet shop. Some are puppies and some are kittens. Each kitten takes 8 biscuits and each puppy takes 11 bi...
The height of a cone is equal to the height of a cylinder. The curved surface area of the cylinder is 616 cm², and the height of...
In this problem, you're provided with two quantities, Quantity I and Quantity II, and your task is to solve both quantities and determine the correct r...
In the question, two Quantities I and II are given. You have to solve both the Quantity to establish the correct relation between Quantity-I and Quanti...
Direction: The question consists of two quantities, choose the correct option which represents the correct relation between Quantity I and Q...
Quantity I : Number of days the work is extended beyond normal days. A can do a piece of work in 100 days and B in 60 days. Both of them start working ...
A sum of Rs.12000 was lent partly at 5% and partly at 3% simple interest. The total annual interest be Rs.450.
Quantity I. Part lent at 5% SI.
What will be the age of A after 2 years?
Quantity I: The ratio between the present ages of A and B is 6:11 respectively and B is 10 years elder t...
