ISRO Mechanical Engineering Mathematics Questions, Answers and Explanation Linear Algebra 2017.2.36. A point P moves along the path y = x 2 -4. What is the displacement when the point moves from x =1 to x = 3. a) 8.24, @ tan -1 (4) b) 2, @ tan -1 (1) c) 11.3, @ tan -1 (4) d) 11.3, @ tan -1 (1) Answer a) 8.24, @ tan -1 (4) Explanation when x = 1, y = 1-4 = -3 when x = 3, y = 9-4 = 5 distance between the 2 points = √ (2 2 +8 2 ) = √ (68), which is just greater than 8. So other options are eliminated. 2017.2.47. A cubic B-spline curve requires minimum ......... control points a) 3 b) 4 c) 5 d) 6 Answer b) 4 Explanation A line (linear curve) requires minimum 2 control points A quadratic curve requires minimum 3 control points In general a curve of degree n requires minimum n+1 control points Derivatives 2017.2.80. A point moves according to the relation x = 8t 2 ...