1. Home
  2. |  
  3. Engineering Exams |  

WBJEE 2014 Solved Mathematics Question Paper – Part 14

Apr 12, 2017 17:37 IST

    Find WBJEE 2014 Solved Mathematics Question Paper – Part 14 in this article. This paper consists of 5 questions (#66 to #70) 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

    67. The equation of hyperbola whose coordinates of the foci are (±8, 0) and the length of latus rectum is 24 units, is

    (A) 3x2 – y2 = 48

    (B) 4x2 – y2 = 48

    (C) x2 – 3y2 = 48

    (D) x2 – 4y2 = 48

    Correct Option: (A)

    Sol:

    The coordinates of foci of hyperbola are (±ae, 0)

    The length of latus rectum of hyperbola is 2b2/a

    So,

    ae = 8                     …(1)

    Also,

    2b2/a = 24

    So,

    64 = a2 + 12a                     …(2)

    From (1) and (2),

    a = 48

    e = 1/6

    So, the equation of hyperbola is

    x2/16 – y2/48 = 1

    Or, 3x2 – y2 = 48

    68. Applying Lagrange’s Mean Value Theorem for a suitable function f(x) in [0, h], we have

    f(h) = f(0) + hf′(θh), 0 < θ < 1.

    WBJEE 2014

    (A) 1

    (B) 0

    (C) 1/2

    (D) 1/3

    Correct Option: (C)

    Sol:  

    We have,

    f(x) = cos x

    So, cos h = cos 0 + h(-sin θh)

    cos h = 1 + h(-sin θh) = 1 – h sin (θh)

    WBJEE 2014

    WBJEE 2014

    WBJEE 2016 Solved Physics and Chemistry Question Paper

    WBJEE 2014

    (A) A singleton set

    (B) Not a finite set

    (C) An empty set

    (D) A finite set with more than one elements

    Correct Option: (A)

    Sol:

    WBJEE 2014

    WBJEE 2014

    Also Get:

    WBJEE Sample Papers

    WBJEE Previous Years' Question Papers

    WBJEE Online Test

    Register to get FREE updates

      All Fields Mandatory
    • (Ex:9123456789)
    • Please Select Your Interest
    • Please specify

    • ajax-loader
    • A verifcation code has been sent to
      your mobile number

      Please enter the verification code below

    This website uses cookie or similar technologies, to enhance your browsing experience and provide personalised recommendations. By continuing to use our website, you agree to our Privacy Policy and Cookie Policy. OK
    X

    Register to view Complete PDF