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We are given the curve: y = √(25 – x²) This is the upper half of a circle with equation: x² + y² = 25
⇒ a circle of radius 5, centered at the origin. We are asked to find the area enclosed between the curve and the x-axis in the first quadrant, i.e., one-fourth of the area of the full circle. Area of full circle = πr² = π × 25 = 25π So, area in the first quadrant = (1/4) × 25π = 25π / 4
In a certain code language, '+' represents '-', '-' represents 'x', 'x' represents '÷' and '÷' represents '+'. Find out the answer to the following qu...
Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation.
23 * 2 * 2 * 5 * 18
If A denotes ‘addition’, B denotes ‘multiplication’, C denotes ‘subtraction’, and D denotes ‘division’, then what will be the value of t...
Monthly income of A is Rs. 6000 and he saves 25% of his monthly income. If monthly expenditure of A is decreased by 35% while his monthly savings is inc...
If '+' means '-', ' X ' means '+', '-' means '÷' and '÷' means ' X ', then what is the value of the following expression?
91 - 7 X 18 ÷ 5 + 10...
In how many different ways can the letters of the word 'COMPUTER' be arranged in such a way that the vowels always come together?
If ‘+’ means ‘-’, ‘×’ means ‘+’, ‘-’ means ‘÷’ and ‘÷’ means ‘×’, then what is the value of the following expression...
In the question, assuming the given statements to be true, find which of the conclusion (s) among given two conclusions is /are definitely true and the...
If in a certain code language ‘+’ represents ‘×’, ‘–’ represents ‘+’, ‘×’ represents ‘÷’ and ‘÷’ represents ‘–’....