goals

Let $$P\left(x,y\right)$$ be the Cartesian coordinates with respect to axes $$OX$$ and $$OY$$ then $$\left(r,\theta\right)$$ be its polar coordinates with respect to pole $$O$$ and initial line $$OX$$ i.e.$$OP=r$$(radius vector) and $$\angle{XOP}=\theta$$ (vectorial angle)

Now, let $$p$$ be the length of the perpendicular from $$O$$ upon straight line(through $$A,B$$)

i.e.,$$OM=p$$ and $$\angle{XOM}=\alpha$$

Now, let $$p$$ be the length of the perpendicular from $$O$$ upon straight line(through $$A,B$$)

i.e.,$$OM=p$$ and $$\angle{XOM}=\alpha$$

Rita goes $$20\ km$$ towards East from a point $$A$$ to the point $$B$$. From $$B$$, she moves $$30km$$ towards west along the same road. If the distance towards east is represented by a positive integer then, how will you represent the distance travelled towards West?

A locus is a curve traced out by a point which moves under certain geometrical conditions:To find the locus of a point first we assume the coordinates of the moving point as $$(h,k)$$ and then try to find a relation between $$h$$ and $$k$$ with the help of the given conditions of the problem. If there is any variable involved in the process then we eliminate them. At last, we replace $$h$$ by $$x$$ and $$k$$ by $$y$$ and get the locus of the point which will be an equation in $$x$$ and $$y$$.

$$ABCD$$ is a quadrilateral. A circle is inscribed touching all four sides of the quadrilateral at $$P, Q, R, S$$ respectively.

On the basis of above passage answer the following questions,

On the basis of above passage answer the following questions,

Draw the figure according to the given information and answer the questions.