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    SR Mains-1 Maths Iib-2

    Uploaded by

    Yuga Tejeshwar Reddy
    This document is a sample question paper for the 2nd year Mathematics IIB exam with 3 sections - Section A has 10 short answer 2-mark questions, Section B has 5 short answer 4-mark questions, and Section C has 5 long answer 7-mark questions. The questions cover topics like circles, ellipses, hyperbolas, integration, differential equations, and coordinate geometry. Students have 3 hours to complete the exam worth a total of 75 marks.

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    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd

    SR Mains-1 Maths Iib-2

    Uploaded by

    Yuga Tejeshwar Reddy
    124 views2 pages
    This document is a sample question paper for the 2nd year Mathematics IIB exam with 3 sections - Section A has 10 short answer 2-mark questions, Section B has 5 short answer 4-mark questions, and Section C has 5 long answer 7-mark questions. The questions cover topics like circles, ellipses, hyperbolas, integration, differential equations, and coordinate geometry. Students have 3 hours to complete the exam worth a total of 75 marks.

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    Original Title

    SR MAINS-1 MATHS IIB-2

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    This document is a sample question paper for the 2nd year Mathematics IIB exam with 3 sections - Section A has 10 short answer 2-mark questions, Section B has 5 short answer 4-mark questions, and Section C has 5 long answer 7-mark questions. The questions cover topics like circles, ellipses, hyperbolas, integration, differential equations, and coordinate geometry. Students have 3 hours to complete the exam worth a total of 75 marks.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    124 views2 pages

    SR Mains-1 Maths Iib-2

    Uploaded by

    Yuga Tejeshwar Reddy
    This document is a sample question paper for the 2nd year Mathematics IIB exam with 3 sections - Section A has 10 short answer 2-mark questions, Section B has 5 short answer 4-mark questions, and Section C has 5 long answer 7-mark questions. The questions cover topics like circles, ellipses, hyperbolas, integration, differential equations, and coordinate geometry. Students have 3 hours to complete the exam worth a total of 75 marks.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    of 2

    Guess Paper May - 2022

    Board of Intermediate Education


    2nd year Mathematics IIB (English Medium)
    SET-II
    Time : 3 Hours Max. Marks : 75

    Note : This question paper consists of three sections A, B and C.

    SECTION – A
    Note : i) Answer all questions 10  2 = 20
    ii) Each question carries two marks
    iii) All are very short answer type questions
    1. Find the equation of the circum-circle of the triangle formed by the line
    ax + by + c = 0  abc  0  , and the coordinate axes.
    2. Find the value of k, if the points (4,2), (k,–3) are conjugate points with respect to the
    circle x 2  y 2  5 x  8 y  6  0
    3. Find k if the circles x 2  y 2  5 x  14 y  34  0, x 2  y 2  2 x  4 y  k  0 are
    orthogonal.
    4. Find the equation of the parabola whose focus is (3, 1), vertex is (3, -2).
    5. Define rectangular hyperbola and find its eccentricity.
     x6  1 
    6. Evaluate   2 
    dx, x  R.
    1 x 

    Evaluate  e x
     x  2  dx, x  3
    7.
     x  3
    2

    5
    dx
    8. Evaluate 
    1 2x 1
    .

    2

     sin
    4
    9. Evaluate x cos 6 x dx.
    0

    10. Solve  e x  1 y dy   y  1 dx  0.

    SECTION – B
    II. Note : i) Answer any five of the following questions. 5  4 = 20
    ii) Each question carries four marks.
    iii) All are short answer type questions.
    Disclaimer: This Question paper is purely for preparation purpose only.
    Manabadi.com is no where claiming this to be the Main Examination Paper.
    11. If 1 , 2 are the inclinations of the tangents through P to the circle x 2  y 2  a 2 find the
    locus of P when cot cot 1  cot  2  k .
    12. Find the equation of the circle passing through the points of intersection of the circles
    x 2  y 2  8 x  6 y  21  0, x 2  y 2  2 x  15  0 and (1, 2).
    13. Find the centre, eccentricity, vertices, foci, lengths of major axis, minor axis, latus
    rectum and the equations of directrices of the ellipse 9 x 2  16 y 2  36 x  32 y  92  0.
    14. C is the centre, AA’ and BB’ are major and minor axis of the ellipse
    x 2 / a 2  y 2 / b 2  1 . If PN is the ordinate of a point P on the ellipse then show that
     PN    BC  .
    2 2

     A ' N  AN   CA2
    15. Find the equations of the tangents to the hyperbola 3 x 2  4 y 2  12 which are
    (i) parallel (ii) perpendicular to the line y  x  7
     /2
    cos x
    16. Evaluate
     /2
    1 

     e x
    dx .

    dy
    17. 
    Solve x2  y 2
    dx

     xy.

    SECTION–C
    III. Note : i) Answer any five of the following questions. 5 7 = 35
    ii) Each question carries seven marks.
    iii) All are long answer type questions.
    18. Find the value of c so that (2, 0), (0, 1), (4, 5), (0, c) are concyclic
    19. Find the locus of midpoints of the chords of contact of x 2  y 2  a 2 from the points on
    the line lx  my  n  0 .
    20. Derive the standered form of a parabola y 2  4ax
    1
    21. Evaluate  1  x  dx, x   1,3
    3  2x  x2
    secn 2 x tan x n  2
    22. If I n   sec x dx then I n   I n2 . Hence deduce that  sec
    n 5
    x dx.
    n 1 n 1
     /4
    sin x  cos x
    23. Evaluate  9  16sin 2 x dx.
    0


    24. Solve 1  x 2  dy
    dx
     y  Tan 1
    x.

    Disclaimer: This Question paper is purely for preparation purpose only.


    Manabadi.com is no where claiming this to be the Main Examination Paper.

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