Question 1
Solve the differential equation (y + 1) dx + (2x - y) dy = 0
Question 2
Find the image of the point (2, 3, 1) in the plane 2x - y + z + 3 = 0
Question 3
In a triangle if then prove that the triangle is right angled.
Question 4
If a,b,c are in GP and x,y are Arithmetic Means between a,b and b,c respectively, then prove that x,b,y are in HP.
Question 5
A train, travelling at a uniform speed for 360 km, would have taken 48 minutes less to travel the same distance if its speed were 5 km / hour more. Find the original speed of the train.
Academic requirements:
• Solution declaration must be completed.
• Your work should be submitted in the well step by step formats outlined for each question in the assignment