Course Code : CS-60

Assignment Number : BCA (2)-60/Project/06

Maximum Marks: 15

Last Date of Submission : 30^th April, 2006

There are five questions in this project assignment. Answer all the questions. You may use illustrations and diagrams to enhance explanations.

Question 1: If α, β, γ are the roots of the equation

x³ - 7x² + x + 5 = 0

Find the equation whose roots are

α² + β², β² + γ², γ² + α² (5 marks)

Question 2: Evaluate : &integral; cos^-1x dx. (2 marks)

Question 3: Find all the fifth roots of (2+i). (1 marks)

Question 4: Find the area bounded by the x-axis, the curve y = e^2x and the ordinates x = 2 and x = 3. (3 marks)

Question 5(a): Find the equation of the line joining the points

(-5, 2, 3) and (5, -2, 3). (1 marks)

(b) Find the equation of the sphere, which contains the circle

x² + y² + z² = 9, 3x + 3y + 3z = 5 and

passes through the origin. (3 marks)