In Sahakar Nagar, few enthusiastic teenagers, who are fond of
outdoor games and are aware of the importance of fitness, are
unable to play on the ground in their neighbourhood. They are
busy with their online classes, assignments and other homework
the whole day and in the evening as now a days it gets dark early,
they are unable to play in the dark. They have written an
application to the local municipal authority requesting to make the
arrangement of light on the ground so that many others will also
get benefit of the same. Parents also have supported this and after
the meeting with the MLA, it is decided that a pole for the flood
light is to be erected at a point on the boundary of that circular
ground of diameter 13 metres in such a way that the difference of
its distance from two diametrically opposite fixed gates A and B on
the boundary is 7 metres.
i Draw the labelled diagram of circular ground depicting the above
situation.
ii Is it possible to erect the pole as per the conditions given?
iii If yes, frame a quadratic equation for the given situation assuming
a suitable variable.
iv Solve the equation and determine the necessary distance.
v State the condition for the quadratic equation under which, real
roots are not possible.
Answers
Step-by-step explanation:
In Sahakar Nagar, few enthusiastic teenagers, who are fond of
outdoor games and are aware of the importance of fitness, are
unable to play on the ground in their neighbourhood. They are
busy with their online classes, assignments and other homework
the whole day and in the evening as now a days it gets dark early,
they are unable to play in the dark. They have written an
application to the local municipal authority requesting to make the
arrangement of light on the ground so that many others will also
get benefit of the same. Parents also have supported this and after
the meeting with the MLA, it is decided that a pole for the flood
light is to be erected at a point on the boundary of that circular
ground of diameter 13 metres in such a way that the difference of
its distance from two diametrically opposite fixed gates A and B on
the boundary is 7 metres.
i Draw the labelled diagram of circular ground depicting the above
situation.
ii Is it possible to erect the pole as per the conditions given?
iii If yes, frame a quadratic equation for the given situation assuming
a suitable variable.
iv Solve the equation and determine the necessary distance.
v State the condition for the quadratic equation under which, real
roots are not possible.