Evaluate .
Answer and explanation
Correct answer: D.
- Step 1: Split the sum: . Step 2. . **Answer: . Why not the others:** is what you get if you leave out the constant part. is what you get if you add the constant only once. is what you get if you forget to halve .
Practise more Matrices, calculus and coordinate geometry.
Free questions with an explanation for every one, and full timed WBJEE mock tests.
More Matrices, calculus and coordinate geometry questions
- Find the determinant of the 3×3 matrix with rows (-2, 0, 3); (-1, 5, -1); (2, 1, -1).
- If A has rows (3, -3) and (3, -1) and B has rows (-3, 4) and (3, 2), find the entry in row 2, column 1 of AB.
- Find the coordinates of the focus of the parabola y² = 12x.
- Find a × b for a = 3i + 4j − 1k and b = 2i − 2j + 3k.
- Solve dy/dx = 2x with y(0) = -1. What is y(3)?
- How many permutations of 10 objects taken 3 at a time are there?