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Maths, XI

CONIC SECTIONS

1.Find the centre and radius of circle  .

2.Find the equation of circle passing through the points (4,1) &(6,5)and centre is on the line 4x+y=16.

  1. Find the equation of parabola vertex (0,0) and passing (2,3) and axis is along x-axis.
  2. Find the equation of ellipse , vertices .
  3. Find the equation of ellipse major axis is on x-axis passing through the points (4,3) &(6,2).
  4. Find the equation of hyperbola vertices .
  5. Find the equation of hyperbola ,passing point (2,3).

8.An arch is in the form of a parabola with its axis is vertical. The arch is 10m high 5m wide at the centre.  How wide is it 2m from the vertex of parabola.

  1. An arch is in the form of a semi ellipse , The arch is 2m high 8m wide at the centre. Find the height of arch at a point 1.5 m from one end.
  2. An equilateral triangle is inscribed in a parabola , where one is at the vertex of parabola. Find the length of side of triangle.

3-D

1.Find the ratio in which the YZ-plane divide the line segment joining (-2,4,7)& (3,-5,8)

  1. Find the coordinate of the point on y-axis which is at a distance of from the point (3,-2,5)

3.Apoint R with x-coordinate 4 , lies on the line segment joining (2,-3,4,)& (8,0,10), find the    coordinate of R.

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