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WBJEE 2014 Solved Mathematics Question Paper – Part 11

In this article find 5 questions (#51 to #55) from WBJEE 2014 Solved Mathematics Question Paper. This solved paper will help students in their final level of preparation for WBJEE Exam. These questions will be very helpful for those who are going to appear for WBJEE 2017 Engineering Entrance Examination.

Mar 31, 2017 18:45 IST
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Find WBJEE 2014 Solved Mathematics Question Paper – Part 11 in this article. This paper consists of 5 questions (#51 to #55) 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 80 questions.

WBJEE 2014

52. The straight lines x + y = 0, 5x + y = 4 and x + 5y = 4 form

(A) an isosceles triangle

(B) an equilateral triangle

(C) a scalene tri ngle

(D) a right angled triangle

Ans: (A)

Sol:

WBJEE 2014

Their point of intersection are (–1, 1) (1, –1) and (2/3, 2/3)

Using distance formula the distance between AB and BC is same so, ABC is isosceles triangle.

WBJEE 2014

(x – α) should be somewhere positive and somewhere negative so α ∈ (0, 2)

Hence, a ∈ (0, 2)

WBJEE 2016 Solved Physics and Chemistry Question Paper

WBJEE 2014

55. The function f(x) = a sin|x| + be|x| is differentiable at x = 0 when

(A) 3a + b = 0

(B) 3a – b = 0

(C) a + b = 0

(D) a – b = 0

Ans : (C)

Sol: x

f(x) = a sin|x| + be|x|

f(x) = a sinx + bex       x ≥ 0                 …(1)

Also,

f(x) = –a sinx + be–x    x < 0             …(2)

Differentiating equation (1) with respect to x

f′(x) = acosx + bex       x ≥ 0          …(3)

Differentiating equation (2) with respect to x

f′(x) = –acosx – be–x                x < 0             …(4)

From (3) and (4) at x = 0,

a + b = –a – b

a + b = 0

Also Get:

WBJEE Sample Papers

WBJEE Previous Years' Question Papers

WBJEE Online Test

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