Class 9: Co-ordinate Geometry – Exercise 19.1

Question 1: Write down the coordinates of each of the points and shown in the adjoining graph.

Answer:

Question 2: Plot the following points in rectangular coordinate system. In which quadrant do they lie? i) (ii) (iii) (iv) (v) (vi) (vii) (vii) .

Answer:

Question 3: On which axis do the following points lie? (i) (ii) (iii) (iv)

Answer:

(i)            (ii)

(iii)       (iv)

Question 4: Plot the points and join them in order. What figure do you get?

Answer:

Question 5: Let be a square of side . Find the coordinates of the vertices of this Square when

(i) coincides with the origin and and are along and respectively.

(ii) The center of the square is at the origin and coordinate axes are parallel to the sides and respectively.

Answer:

i)

ii)

Question 6: The base of two equilateral triangles and with side lies along axis such that the mid-point of is at the origin. Find the coordinates of the vertices and of the triangles.

Answer:

Question 7: Draw the quadrilateral whose vertices are:

(i) and

(ii) and

(iii) and

Name the type of quadrilateral so formed in each case.

Answer:

i)

ii)

iii)

Question 8: Plot the points and in a rectangular coordinate system. Mark midpoint of as . Write its coordinates. Draw the median of passing through and write the coordinates of its centroid.

Answer: