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Published on: 03/09/2019
Coordinate Geometry
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Questions + Answers key
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1.
See figure and write the following:
(i) Coordinates of point P
(ii) Abscissa of point Q
(iii) The point identified by the coordinates (-4,4)
(iv) The point identified by the coordinates (-3,-6)

2.
The perpendicular distance of a point from the x-axis is 2 units and the perpendicular distance from the y-axis is 3 units.Write the coordinates of the point if it lies in the:
(i) I quadrant
(ii) II quadrant
(iii) III quadrant
(iv) IV quadrant
3.
If the coordinates of a point M are (2,9) which can also be expressed as (1 + x,y2) and y > 0, then find in which quadrant do the following points lie: P(x,y), Q(2,x), R(x2,y-1), S(2x,-3y)
4.
In which quadrant do the given points lie?(-6,2)
5.
How will you describe the position of a table lamp on your study table another person?
6.
The perpendicular distance of a point from the x-axis is 4 units and the perpendicular distance from the y-axis is 5 units.Write the coordinates of such a point if lies in the:
(i) I quadrant
(ii) II quadrant
(iii) III quadrant
(iv) IV quadrant
7.
Find the coordinates of the point which lies on y-axis at a distance of 4 units in negative direction of y-axis.
(a) (-4,0) (b) (4,0) (c) (0,-4) (d) (0,4)
8.
In which quadrant do the given point lie? (-3,5)
9.
In which quadrant do the given point lie?(4,5)
10.
The line of intersection of I and II quadrants is
x - axis
y - axis
vertical axis
None of these
11.
If x is negative and y is negative, then the point (x,y) lies in
I quadrant
II quadrant
III quadrant
IV quadrant
12.
If x is positive and y is negative, then the point (x,y) lies in
III quadrant
IV quadrant
II quadrant
I quadrant
13.
North-South direction and East-West direction
are perpendicular to each other
are parallel to each other
are opposite to each other
None of these
14.
The famous mathematician associated with the problem of describing the position of a point in a plane was
Pythagoras
Newton
Euclid
Rene Descartes
1.
(i) Coordinates of point P are (0,4)
(ii) Abscissae of point Q is 5.
(iii) The point identified by the coordinates (-4,4) is S.
(iv) The point identified by the coordinates (-3,-6) is R.
2.
(i) (3,2)
(ii) (-3,2)
(iii) (-3,-2)
(iv)(3,-2)
3.
\(P\rightarrow I\)
\(\\ Q\rightarrow I\)
\(\\ R\rightarrow I\)
\(\\ S\rightarrow IV\)
4.
II
5.
Consider the lamp as a point and table as a plane.Choose any two perpendicular edges of the table.Measure the distance of the lamp from the longer edge, suppose it is 25 cm. Again, measure the distance of the lamp from the shorter edge, and suppose it is 30 cm.You can write the position of the lamp as (30,25) or (25, 30), depending on the order you fix.

6.
(i) (5,4) (ii) (-5,4) (iii) (-5,-4) iv (5,-4)
7.
(c) (0,-4)
8.
II
9.
I
10.
(a)
x - axis
11.
(c)
III quadrant
12.
(b)
IV quadrant
13.
(a)
are perpendicular to each other
14.
(d)
Rene Descartes
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