. m m m m - - Two Dimensional Analytical Geometry - II . A rod of length . m moves with its ends always touching the coordinate axes.
The locus of a point P on the rod, which is . m from the end in contact with x -axis is an ellipse. Find the eccentricity. .
Assume that water issuing from the end of a horizontal pipe, . m above the ground, describes a parabolic path. The vertex of the parabolic path is at the end of the pipe. At a position .
m below the line of the pipe, the flow of water has curved outward m beyond the vertical line through the end of the pipe. How far beyond this vertical line will the water strike the ground? . On lighting a rocket cracker it gets projected in a parabolic path and reaches a maximum height of m when it is m away from the point of projection.
Finally it reaches the ground m away from the starting point. Find the angle of projection. . Points A and B are 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 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. EXERCISE . Choose the correct or the most suitable answer from the given four alternatives : . The equation of the circle passing through( , ) and ( , ) and touching y -axis is ) = where λ is equal to ( ) , - ( ) ( ) ( ) - .
The eccentricity of the hyperbola whose latus rectum is and conjugate axis is equal to half the distance between the foci is ( ) ( ) ( ) ( ) . The circle x +