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. Find WBJEE Solved Mathematics Question Paper 2014 Part-4 for undergraduate level engineering exam.
Importance of Previous Years’ Papers
Previous year 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. Detailed solution of each question has been provided so that students do not lose their precious time in searching solutions of these questions.
The Mathematics section of WBJEE has 80 multiple choice questions. Only one of the four options is correct. There is also one-fourth negative marking for each incorrect response. This article consists of 5 question(#16 to #20) from WBJEE 2014 Solved Mathematics Question Paper.
18. The area of the region bounded by the curves y = x2 and x = y2 is
We have functions,
y = x2
x = y2
19. The point on the parabola y2 = 64x which is nearest to the line 4x + 3y + 35 = 0 has coordinates
(A) (9, –24)
(B) (1, 81)
(C) (4, –16)
(D) (–9, –24)
Ans : (A)
The coordinate of foot of the normal are (am2, –2am)
Comparing the equation of parabola with the standard equation of parabola, we get:
a = 16
We have the equation of line:
4x + 3y + 35 = 0
So, the slope of line is -4/3
So, the slope of normal to the line is 3/4.
So, the point on the parabola is (9, –24).