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12th Standard English Medium Maths Subject Two Dimensional Analytical Geometry-II Book Back 1 Mark Questions with Solution Part - II

12th Standard

    Reg.No. :
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Maths

Time : 01:00:00 Hrs
Total Marks : 5

    1 Marks

    5 x 1 = 5
  1. The eccentricity of the ellipse (x−3)2 +(y−4)2 \(=\frac { { y }^{ 2 } }{ 9 } \) is

    (a)

    \(\frac { \sqrt { 3 } }{ 2 } \)

    (b)

    \(\frac { 1 }{ 3 } \)

    (c)

    \(\frac { 1 }{ 3\sqrt { 2 } } \)

    (d)

    \(\frac { 1 }{ \sqrt { 3 } } \)

  2. If the two tangents drawn from a point P to the parabola y2 = 4x are at right angles then the locus of P is

    (a)

    2x + 1 = 0

    (b)

    x = −1

    (c)

    2x −1 = 0

    (d)

    x = 1

  3. The locus of a point whose distance from (-2,0) is \(\frac { 2 }{ 3 } \) times its distance from the line x = \(\frac { -9 }{ 2 } \) is

    (a)

    a parabola

    (b)

    a hyperbola

    (c)

    an ellipse

    (d)

    a circle

  4. The values of m for which the line y = mx + \(2\sqrt { 5 } \) touches the hyperbola 16x− 9y= 144 are the roots of x− (a + b)x − 4 = 0, then the value of (a+b) is

    (a)

    2

    (b)

    4

    (c)

    0

    (d)

    -2

  5. If the coordinates at one end of a diameter of the circle x+ y− 8x − 4y + c = 0 are (11, 2), the coordinates of the other end are

    (a)

    (-5, 2)

    (b)

    (-3, 2)

    (c)

    (5, -2)

    (d)

    (-2, 5)

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