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KCET2026MathematicsArea Under Curves

The area enclosed by the curve x = 3 , y = 3 is

Options

  1. A3 sq. units
  2. B9 sq. units
  3. C6 sq. units
  4. D3 sq. units

Correct answer

D. 3 sq. units

Step-by-step solution

Given parametric equations are x = 3 and y = 3 . Squaring and adding both equations, we get: x^2 + y^2 = ( 3 )^2 + ( 3 )^2 x^2 + y^2 = 3( ^2 + ^2 ) x^2 + y^2 = 3 This represents a circle with center at the origin (0,0) and radius r = 3 . The area of the circle is given by r^2 . Area = ( 3 )^2 = 3 sq. units. Answer: 3 sq. units

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