Find WBJEE 2014 Solved Mathematics Question Paper – Part 10 in this article. This paper consists of 5 questions (#46 to #50) from WBJEE 2014 Mathematics paper. Detailed solution of these questions has been provided so that students can match their solutions.
About WBJEE Exam
WBJEE is a common entrance examinations held at state level for admission to the undergraduate level engineering and medical courses in the state of West Bengal. The Mathematics section of WBJEE 2014 engineering entrance exam consists of 80 questions.
Importance of Previous Years’ Paper:
Previous years’ question papers help aspirants in understanding exam pattern, question format, important topics and assessing preparation. It has also been seen that sometimes questions are repeated in WBJEE Exam. So, this paper will certainly boost your confidence.
48. The value of |z|2 + |z – 3|2 + |z – i|2 is minimum when z equals
(A) 2 – 2i/3
(B) 45 + 3i
(C) 1+ i/3
(D) 1 – i/3
Let us assume that,
z = x + iy
|z|2 + |z – 3|2 + |z – i|2 = x2 + y2 + (x – 3)2 + y2 + x2 + (y – 1)2
= 3x2 + 3y2 – 6x – 2y + 10
= 3 [x2 + y2 – 2x – 2.y.(1/3)] + 10