Maths Book back answers and solution for Exercise questions - Mathematics : Applications of Integration: Evaluation of a Bounded Plane Area by Integration: Exercise Problem Questions with Answer, Solution

**EXERCISE 9.8**

**1. Find the area of the region bounded by 3 x âˆ’ 2 y + 6 = 0 , x = âˆ’3 , x = 1 and x-axis.**

**2. Find the area of the region bounded by 2 x âˆ’ y +1 = 0 , y = âˆ’1, y = 3 and y-axis.**

**3. Find the area of the region bounded by the curve 2 + x âˆ’ x2 + y = 0 , x-axis, x = âˆ’3 and x = 3.**

**4. Find the area of the region bounded by the line y = 2x + 5 and the parabola y = x2 âˆ’ 2x .**

**5. Find the area of the region bounded between the curves y = sin x and y = cos x and the lines x = 0 and x = Ï€ .**

**6. Find the area of the region bounded by y = tan x , y = cot x and the lines x = 0 , x = Ï€/2 , y = 0.**

**7. Find the area of the region bounded by the parabola y 2 = x and the line y = x âˆ’ 2 .**

**8. Father of a family wishes to divide his square field bounded by x = 0 , x = 4 , y = 4 and y = 0 along the curve y2 = 4x and x2 = 4 y into three equal parts for his wife, daughter and son. Is it possible to divide? If so, find the area to be divided among them.**

**9. The curve y = ( x âˆ’ 2)2 +1 has a minimum point at P. A point Q on the curve is such that the slope of PQ is 2. Find the area bounded by the curve and the chord PQ.**

**10. Find the area of the region common to the circle x2 + y2 = 16 and the parabola y2 = 6x .**

**Answers:**

**1. 7.5**

**2. 2**

**3. 15**

**4. 36**

**5. 2âˆš2**

**6. logâ€‰2**

**7. 9/2**

**8. yes, 16/3**

**9. 4/3**

**10. 4/3 ( 4Ï€ + âˆš3)**

Tags : Problem Questions with Answer, Solution , 12th Maths : UNIT 9 : Applications of Integration

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12th Maths : UNIT 9 : Applications of Integration : Exercise 9.8: Evaluation of a Bounded Plane Area by Integration | Problem Questions with Answer, Solution

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