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12th Standard English Medium Maths Subject Two Dimensional Analytical Geometry-II Book Back 5 Mark Questions with Solution Part - I

12th Standard

    Reg.No. :
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Maths

Time : 01:00:00 Hrs
Total Marks : 25

    5 Marks

    5 x 5 = 25
  1. On lighting a rocket cracker it gets projected in a parabolic path and reaches a maximum height of 4 m when it is 6 m away from the point of projection. Finally it reaches the ground 12 m away from the starting point. Find the angle of projection.

  2. Points A and B are 10 km apart and it is determined from the sound of an explosion heard at those points at different times that the location of the explosion is 6 km closer to A than B. Show that the location of the explosion is restricted to a particular curve and find an equation of it.

  3. Find the vertex, focus, equation of directrix and length of the latus rectum of the following:
    x2−2x+8y+17= 0

  4. Find the vertex, focus, equation of directrix and length of the latus rectum of the following: y2−4y−8x+12 = 0

  5. Identify the type of conic and find centre, foci, vertices, and directrices of each of the following :
    18x2+12y2−144x+48y+120 = 0

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