Find WBJEE 2014 Solved Mathematics Question Paper – Part 1 in this article. This paper consists of 5 questions (#1 to #5) from WBJEE 2014 Mathematics paper. Detailed solution of these questions has been provided so that students can match their solutions.
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.
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 40 questions.
2. If y = 4x + 3 is parallel to a tangent to the parabola y2 = 12x, then its distance from the normal parallel to the given line is
We have equation of line,
y = 4x + 3
So, slope of line = 4
Also, a = 3
Equation of normal
y = mx – 2am – am3
y = 4x – 216
3. In a ΔABC, tanA and tanB are the roots of pq(x2 + 1) = r2x. Then ΔABC is
(A) a right angled triangle
(B) an acute angled triangle
(C) an obtuse angled triangle
(D) an equilateral triangle
We have equation, pq(x2 + 1) = r2x.
So, pqx2 – r2x + pq = 0
tanA and tanB are the roots of the above equation
Product of roots = tanA. tanB = pq/pq = 1
tanA tanB = 1
So, tan(A+B) is undefined
∴∠C = π / 2
So, ABC is right angled triangle.
4. Let the number of elements of the sets A and B be p and q respectively. Then the number of relations from the set A to the set B is
(C) p + q
Ans : (B)
Number of elements in set A = p
Number of elements in set B = q
Number of relations from the set A to the set B is pq.