Embibe Experts Solutions for Chapter: Coordinate Geometry, Exercise 1: Exercise

Two friends Rahul and Piyush went to the roof of their house in the evening to fly kites. The moment they reached the roof they noticed four monkeys sitting there. Rahul observed that the monkeys were sitting in such a way that all four of them formed a rectangle such that the length of the rectangle was twice the breadth.

The coordinates of two of the monkeys are shown in the figure below:

Where might any one of the other two monkeys be seated, if they are seated to the left of the monkeys shown in the figure?

Students of Class $\mathrm{IX}$ were taught coordinate geometry in their Maths class today. They were shown how to draw line segments parallel to the coordinate axes by plotting points. After the class, four of the students Rohit, Rishav, Sandip and Prakash were practicing what they had learned in today's class.

They drew the line $y=-4$ in their graph papers. Their figures are shown below:

Who plotted the line $y=-4$correctly?

 For the Assertion and Reason below, choose the correct alternative.

A student made a paper plane and threw it while he was standing at the point $\left(2,1\right)$. The paper plane travelled a distance of $5$units in a straight line and suddenly started rotating around the student forming a circle. Among the following points, which point could lie on the circular path of the paper plane.

Shown below is the seating arrangement in a classroom in $X-Y$ plane. The teacher’s position is the origin of $X-Y$ plane.

Pooja’s position is given as $\left(1, -1\right)$, then Ravi and Surya's position (respectively) are

Anmol loved to fly kites on Sankranti. He won a kite from the opponent and brought it with him to his home. He placed it on his big graph sheet such that the meeting point of the two diagonals was on the origin. He saw that it is in the shape of a Rhombus.

If the length of the longer diagonal was measured with scale and found to be $10 \mathrm{cm}$ and the shorter one was $8 \mathrm{cm}$, then find the coordinates of $\mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D}$.

If the co-ordinates of a point $\mathrm{M}\left(-2, 9\right)$ can also be expressed as $(1+x,y^2)$ where $y>0$, then find the quadrants in which the following points lie:

$\mathrm{P}(y, x), \mathrm{Q}(2, x), \mathrm{R}(x^2, y-1), \mathrm{S}(2x,-3y)$.

On environment day, class $9$ students got six plants of mango, peepal, silver oak, banyan, amla and neem from soil department. Students planted the plants and noted their locations as $\left(x, y\right)$.

Plot the points $\left(x, y\right)$ in the graph and join them in the given order. Name the figure you get.