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NDA - 3 D Geometry Test 961
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NDA - 3 D Geometry Test 961
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  • Question 1/5
    1 / -0.33
    Find the equation of the plane passing through the point is foot of the perpendicular drawn from the origin to the plane.
    Solutions
    The direction ratios of the normal to the plane are 2,3,5

    The equation of the required plane:

    ⇒

    ⇒

    ⇒

  • Question 2/5
    1 / -0.33
    Show that the triangle ABC with vertices A(0, 4, 1), B(2, 3, -1) and C(4, 5, 0) is right angled.
    Solutions

    AB =

    =  = 3

    BC =

    =  = 3

    Ac =

    =  =

    Clearly, AC2 = AB2 + BC2

    Therefore, ∆ABC is a right-angled triangle.

  • Question 3/5
    1 / -0.33
    If the straight line is parallel to the plane ax + by + cz + d = 0, then which one of the following is correct?
    Solutions

    Correct Answer is option D

    Normal vector of plane will be



  • Question 4/5
    1 / -0.33
    If a line makes 60° with the positive direction of x-axis, angle  with the positive direction of y-axis and angle  with the positive direction of z-axis, then what is cos2 + cos2 equal to?
    Solutions

    Correct Answer is option C





  • Question 5/5
    1 / -0.33
    The xy-plane divides the line segment joining the points (–1, 3, 4) and (2, –5, 6)
    Solutions

    Given that,

    The xy-plane divides the line segment joining the points (–1, 3, 4) and (2, –5, 6),

    xy-plane it means z- coordinate equal to zero.

    So, using line dividing formula



    Negative sign denote it divided externally.

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