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    MCQ Analytic Geometry XI (1)

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    altafaliansari43215
    Mathematics

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    MCQ Analytic Geometry XI (1)

    Uploaded by

    altafaliansari43215
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    Mathematics

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    © © All Rights Reserved

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    Mathematics

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    3 views4 pages

    MCQ Analytic Geometry XI (1)

    Uploaded by

    altafaliansari43215
    Mathematics

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
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    MCQ (Analytic Geometry):

    1. The general equation of a line is


    𝑥 𝑦
    a. y = mx +c b. 𝑎 + 𝑏 = 1

    c. x cosα + y sinα = p d. ax + by + c = 0
    2. The length of the perpendicular from (0, 0) to the line ax + by + c = 0
    (c < 0) is
    𝑐 −𝑐 𝑐
    a. √𝑎2 b. c. ± √𝑎2 d. none of them
    +𝑏 2 √𝑎2 +𝑏 2 +𝑏 2

    3. Two points (1, 2) and (-2, 1) lie on the same side of the line
    a. 3x – 5y + 10 = 0 b. 2x + 5y – 8 = 0 c. 5x + 8y + 15 = 0
    d. x – 3y + 5 = 0
    4. If length of the perpendicular from (k, 1) on the line x + 2y – 5 = 0 is
    √5 , then the value of k =
    a. 0, 6 b. 5, -3 c. -2, 8 d. 2, 4
    5. The perpendicular distance between two lines 4x – 3y = 12 and 4x –
    3y = 2 is
    a. 12/5 b. 2/5 c. 2 d. 10
    6. The number of bisectors of angles between two intersecting lines is
    a. 1 b. 2 c. 3 d. 4

    7. The equation of the line is x – y√3 + 8 = 0. If the length of the


    perpendicular from (0, 0) on the line is 4, then angle made by the line
    with x-axis is
    a. 300 b. 600 c. 450 d. 1200
    8. The equation of the line, making angle 1200 with positive x-axis and
    the length of the perpendicular from origin on the line is 5, is

    a. √3x – y = 10 b. √3x + y = 10

    c. x - √3y = 10 d. x + √3y = 10
    9. If the equation of the diagonal of the parallelogram is 3y = 5x + k and
    two opposite vertices are (1, -2) and (-2, 1), then value of k is
    a. 1 b. -1 c. 2 d. -2
    10. The distance of a point P (x, y) from X axis is
    a. x b. y c. |x| d. |y|
    11. The point of intersection of perpendicular drawn from the vertex to
    the opposite side of a triangle is called
    a. Orthocenter b. Circumcenter c. In center d. Centroid
    12. The point of intersection of perpendicular bisectors of the sides of a
    triangle is called
    a. Orthocenter b. Circumcenter c. In center d. Centroid
    13. The point of intersection of bisectors of internal angles of a triangle
    is called
    a. Orthocenter b. Circumcenter c. In center d. Centroid
    14. The point of intersection of medians of a triangle is called
    a. Orthocenter b. Circumcenter c. In center d. Centroid
    15. The circum-center of the triangle having vertices (0, 0), (2, 0) and
    (0, 4) is
    2 4
    a. (0, 0) b. (1, 2) c. (3 , 3) d. (2, 4)

    16. The angle between two straight lines 3x + 4y + 5 = 0 and 4x – 3y + 7


    = 0 is
    a. 300 b. 450 c. 600 d. 900
    17. The equation of the straight line parallel to the line x + 2y = 3
    passing through the point (4, 1) is
    a. x + 2y = 3 b. x + 2y = 6 c. x + 2y = 9 d. x + 2y – 5 = 0
    18. The equation of the straight line perpendicular to the line x + 2y = 3
    passing through the point (4, 5) is
    a. 2x – y = 3 b. 2x – y = 4 c. 2x – y = 5 d. 2x – y = 8
    19. If two sides of a square are 3x + 4y + 5 = 0 and 3x + 4y + 15 = 0
    then area of the square is
    a. 4 b. 9 c. 16 d. 25
    20. If one diagonal of a square is 3x + 4y + 5 = 0 and its one vertex is
    (2, 3) then equation of the other diagonal is
    a. 4x – 3y + 1 = 0 b. 4x – 3y + 2 = 0
    c. 4x – 3y + 3 = 0 d. 4x – 3y + 4 = 0
    21. If three sides of a triangle are x – y = 0, x + y = 0 and x – a = 0 then
    area of the triangle is
    a. a2 b. 2a2 c. 4a2 d. a2/2
    22. The equation of the bisector of the angle containing origin between
    the lines 3x – 4y – 5 = 0 and 5x + 12y – 7 = 0 is
    a. 7x – 56y – 15 = 0 b. 16x + 2y – 25 = 0
    c. 7x + 56y + 15 = 0 d. 16x – 2y + 25 = 0
    23. The equations of the lines bisecting the angles between the axes of
    coordinates are
    a. y = ± 2x b. y = ± x c. y = ± 3x d. y = ± x + 1
    24. Let B1 and B2 be two bisectors between two lines l1 and l2. If 𝜃 be
    the angle between l1 and B1 then B1 will be the bisector of an acute angle
    if
    a. |tan𝜃| > 1 b. |tan𝜃| = 1 c. |tan𝜃| < 1 d. tan𝜃 = 0
    25. Two lines 2x – 3y = 5 and 6x – 9y – 7 = 0 are
    a. parallel b. perpendicular
    c. coincident d. intersecting but not perpendicular

    ***THE END***

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