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Recent questions tagged exercise11-misc

An equilateral triangle is inscribed in the parabola $y^2 = 4 ax$, where one vertex isat the vertex of the parabola. Find the length of the side of the triangle.

asked Apr 8, 2014 by balaji.thirumalai

1 answer

A man running a racecourse notes that the sum of the distances from the two flag posts from him is always 10 m and the distance between the flag posts is 8 m. Find the equation of the posts traced by the man.

asked Apr 8, 2014 by balaji.thirumalai

1 answer

Find the area of a triangle formed by the lines joining the vertex of the parabola $x^2 = 12y$ to the ends of its latus rectum.

asked Apr 8, 2014 by balaji.thirumalai

1 answer

A rod of length 12cm moves with its ends always touching the coordinate axes. Determine the equation of the locus of a point P on the rod, which is 3cm from the end in contact with the x-axis.

asked Apr 8, 2014 by balaji.thirumalai

1 answer

An arch is in the form of a semi ellipse. It is 8m wide and 2 m high at the centre. Find the height of the arch at a point 1.5 m from one end.

asked Apr 8, 2014 by balaji.thirumalai

1 answer

The cable of a uniformly loaded suspension bridge hangs in the form of a parabola. The roadway which is horizontal and 100 m long is supported by vertical wires attached to the cable, the longest wire being 30 m and the shortest being 6 m. Find the length of a supporting wire attached to the roadway 18 m from the middle.

asked Apr 8, 2014 by balaji.thirumalai

1 answer

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

asked Apr 8, 2014 by balaji.thirumalai

1 answer

If a parabolic reflector is 20 cm in diameter and 5 cm deep, find the focus.

asked Apr 8, 2014 by balaji.thirumalai

1 answer

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