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WBJEE: Important Questions and Preparation Tips – Area under Curve

Dec 14, 2017 10:16 IST
    WBJEE 2018: Area under Curve
    WBJEE 2018: Area under Curve

    West Bengal Joint Entrance Examination (WBJEE) is a state level common entrance test organized by West Bengal Joint Entrance Examinations Board for admission to the Undergraduate Level Engineering and Medical Courses through a common entrance test in the State of West Bengal.

    In this article, the engineering section of Jagranjosh brings crux of the chapter Area under Curve in the form of chapter notes for coming WBJEE entrance examination 2018. Students always find about 1-2 questions from this topic in the examination.

    These chapter notes contain all important concepts, formulae and some previous year solved questions.

    With the help of previous year solved questions, students can easily understand the difficulty level of the questions of WBJEE examination.

    These chapter notes are based on the latest pattern and syllabus of the WBJEE examination.

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    Important Concepts:

    WBJEE Area under Curve Concepts

    WBJEE: Important Questions and Preparation Tips – Inverse Trigonometric Functions

    Some previous years solved questions are given below:

    Question 1:

    The area of the region bounded by the curves y = x2 and x = y2 is

    (A) 1/3

    (B) 1/2

    (C) 1/4

    (D) 3

    Solution 1:

    We have functions,

    y = x2

    x = y2

     

    WBJEE Area under curve Solution 1

    Hence, the correct option is (A).

    WBJEE: Important Questions and Preparation Tips – Trigonometric Functions

    Question 2:

    The area of the region bounded by the curve y = x3, its tangent at (1, 1) and x-axis is

    (A) 1/12

    (B) 1/6

    (C) 2/17

    (D) 2/15

    Solution 2:

     WBJEE Area under Curve Solution 2

    Hence, the correct option is (A).

    WBJEE: Important Questions and Preparation Tips – Hyperbola

    Question 3:

    Area of the region bounded by y = |x| and y = –|x| + 2 is

    (A) 4 sq. units

    (B) 3 sq. units

    (C) 2 sq. units

    (D) 1 sq. units

    Solution 3:

    We have curves,

    y = |x|

    and, y = –|x| + 2

     

    WBJEE Area under curve Solution 3

    Hence, the correct option is (C).

    WBJEE: Important Questions and Preparation Tips – Ellipse

    Question 4:

    WBJEE Area under curve Question 4

    Solution 4:

    WBJEE Area Under Curve Solution 4

    Hence, the correct option is (c).

    WBJEE 2018: Notification, Application, Dates, Eligibility, Exam Pattern, Syllabus

    We have functions,

    y = x2

    x = y2

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