KC Sinha Mathematics Solution Class 11 Chapter 20 Cartesian System of Rectangular Coordianates Exercise 20.1

 Exercise 20.1

Page no 20.5

Type 1

Question 1

In which quadrants do the following points lie :

(i) $(10,-3)$

(ii) $(-4,-6)$

(iii) $(-8,6)$

(iv) $\left(\frac{3}{2}, 5\right)$

(v) $(3,0)$

(vi) $(0,-5)$

Question 2

Plot the following points in a rectangular coordinate system :

(i) $(4,5)$

(iv) $(-4,2)$

(ii) $(-2,-7)$

(iii) $(6,-2)$

(v) $(4,0)$

(vi) $(0,3)$

Question 3

Where does the point having y-coordinate $-5$ lie ?

Page no 20.6

Question 4

If three vertices of a rectangle are $(-2,0),(2,0),(2,1)$, find the coordinated sf the fourth vertex.

Question 5

Draw the triangle whose vertices are $(2,3),(-4,2)$ and $(3,-1)$.

Question 6

The base of an equilateral triangle with side $2 a$ lies along the y- axis such the mid-point of the base is at the origin. Find the vertices of the triangle.

Question 7

Let $A B C D$ be a rectangle such that $A B=10$ units and $B C=8$ units, Taking $A B$ and $A D$ as $x$ and $y$-axis respectively, find the coordinates of $A, B, C$ and 0

Question 8

$A B C D$ is a square having length of a side 20 units. Taking the center of the square as the origin and $x$ and $y$ axes parallel to $A B$ and $A D$ respectively. find the coordinates of $A, B, C$ and $D$.