Two Dimensional Analytical Geometry-II One Mark Question

12th Standard EM

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Maths

Time : 00:30:00 Hrs
Total Marks : 10
    6 x 1 = 6
  1. The equation of the circle passing through(1,5) and (4,1) and touching y -axis is x2+y2−5x−6y+9+(4x+3y−19)=0 whereλ is equal to

    (a)

    \(0,-\frac { 40 }{ 9 } \)

    (b)

    0

    (c)

    \(\frac { 40 }{ 9 } \)

    (d)

    \(\frac { -40 }{ 9 } \)

  2. The radius of the circle3x2+by2+4bx−6by+b2 =0 is

    (a)

    1

    (b)

    3

    (c)

    \( \sqrt {10}\)

    (d)

    \( \sqrt {11}\)

  3. The centre of the circle inscribed in a square formed by the lines x2−8x−12=0 and y2−14y+45 = 0 is

    (a)

    (4,7)

    (b)

    (7,4)

    (c)

    (9,4)

    (d)

    (4,9)

  4. Equation of tangent at (-4, -4) on x2 = -4y is

    (a)

    2x - y + 4 = 0

    (b)

    2x + y - 4 = 0

    (c)

    2x - y - 12 = 0

    (d)

    2x + y + 4 = 0

  5. y2 - 2x - 2y + 5 = 0 is a

    (a)

    circle

    (b)

    parabola

    (c)

    ellipse

    (d)

    hyperbola

  6. The locus of the point of intersection of perpendicular tangents of the parabola y2 = 4ax is

    (a)

    latus rectum

    (b)

    directrix

    (c)

    tangent at the vertex

    (d)

    axis of the parabola

  7. 4 x 1 = 4
  8. Focus of (y + 1)2 = 8(x - 3)

  9. (1)

    8

  10. Vertex of (y -1)2 = 8x

  11. (2)

    (a, 0)

  12. LR of (y + 1)2 = 8(x - 3)

  13. (3)

    (0, 1)

  14. LR of (x - 4)2 = 4(x + 2)

  15. (4)

    4

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