area

Domain A is bounded by curve x² = 4y, ordinate x = 2, and x axis. The value of ∫∫A y dxdy is

A linear transformation maps a point (x, y) in the plane to the point (x̂, ŷ) according to the rule x̂ = 3y, ŷ = 2x. Then, the disc x² + y² ≤ 1 gets transformed to a region with an...

The smallest perimeter that a rectangle with area of 4 square units can have is ________ units. (Answer in integer)

In the above figure, O is the center of the circle and, M and N lie on the circle. The area of the right triangle MON is 50 cm². What is the area of the circle in cm² ?

Consider a square sheet of side 1 unit. The sheet is first folded along the main diagonal. This is followed by a fold along its line of symmetry. The resulting folded shape is agai...

A rectangle becomes a square when its length and breadth are reduced by 10 m and 5 m, respectively. During this process, the rectangle loses 650 m² of area. What is the area of the...

The perimeters of a circle, a square and an equilateral triangle are equal. Which one of the following statements is true?

A wire would enclose an area of 1936 m², if it is bent into a square. The wire is cut into two pieces. The longer piece is thrice as long as the shorter piece. The long and the sho...

Let S₁ be the plane figure consisting of the points (x, y) given by the inequalities |x - 1| ≤ 2 and |y + 2| ≤ 3. Let S₂ be the plane figure given by the inequalities x - y ≥ -2, y...

A rectangle becomes a square when its length and breadth are reduced by 10 m and 5 m, respectively. During this process, the rectangle loses 650 m 2 of area. What is the area of th...

A wire would enclose an area of 1936 m 2 , if it is bent into a square. The wire is cut into two pieces. The longer piece is thrice as long as the shorter piece. The long and the s...