Two Dimensional Analytical Geometry One Mark Question

11th Standard

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Maths

Time : 00:30:00 Hrs
Total Marks : 10
    10 x 1 = 10
  1. The equation of the locus of the point whose distance from y-axis is half the distance from origin is

    (a)

    x2+3y=0

    (b)

    x2-3y2=0

    (c)

    3x2+y2=0

    (d)

    3x2-y2=0

  2. Which of the following equation is the locus of (at2; 2at)

    (a)

    \(\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\)

    (b)

    \(\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\)

    (c)

    x2+y2=a2

    (d)

    y2=4ax

  3. The slope of the line which makes an angle 45 with the line 3x- y = -5 are

    (a)

    1,-1

    (b)

    \(\frac{1}{2},-2\)

    (c)

    \(1,\frac{1}{2}\)

    (d)

    \(2,-\frac{1}{2}\)

  4. Equation of the straight line that forms an isosceles triangle with coordinate axes in the I-quadrant with perimeter 4 + 2\(\sqrt{2}\) is

    (a)

    x+y+2=0

    (b)

    x+y-2=0

    (c)

    \(x+y-\sqrt{2}=0\)

    (d)

    \(x+y+\sqrt{2}=0\)

  5. The intercepts of the perpendicular bisector of the line segment joining (1, 2) and (3,4) with coordinate axes are

    (a)

    5,-5

    (b)

    5,5

    (c)

    5,3

    (d)

    5,-4

  6. The equation of the bisectors of the angle between the co-ordinate axes are

    (a)

    x+y=0

    (b)

    x-y=0

    (c)

    x\(\pm\)y=0

    (d)

    x=0

  7. The equation of a line which makes an angle of 135° with positive direction of x-axis and passes through the point (1,1) is

    (a)

    x+y=2

    (b)

    x-y=0

    (c)

    \(2\sqrt {2x}-\sqrt {2y}=0\)

    (d)

    x-3y=0

  8. The equation of the straight line bisecting the line segment joining the points (2,4) and (4,2) and making an angle of 450 with positive direction of x-axis is

    (a)

    x+y=6

    (b)

    x-y=0

    (c)

    x-y=6

    (d)

    x+y=0

  9. The equation of median from verten B of the triangle \(\triangle ABC\)  the co-ordinates of whose vertices are A(-1,6)B(-3,-9)C(5,-8)

    (a)

    29x+4y+5=0

    (b)

    8x-5y-21=0

    (c)

    13x+14y+47=0

    (d)

    x+y-7=0

  10. The equation of the straight line which passes through the point (2,4) and have intercept on the axes equal in magnitude but opposite in sign is

    (a)

    x-y=2

    (b)

    x-y+2=0

    (c)

    x-y+1=0

    (d)

    x-y-1=0

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