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Published on: 30/07/2018
In this question paper prepared from the chapter Coordinate Geometry. The important questions are covers from the Higher Order Thinking Questions and Value Based Questions.
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Questions + Answers key
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1.
Three vertices of a square PQRS are P(-4,0), Q(1,0), R(1,-5).Plot the points.Also, find the coordinates of the missing vertex S.
2.
Plot the following points on a graph sheet and join them in order B(-5,3), E(-3,-2), S(4,-2), T(1,3).Also mention the quadrants in which the points lie.
3.
In figure given below, triangle AOB with coordinates A and O as (4,0) and (0,0), find the coordinates of B.

4.
From the given figure, write the points whose
(a) ordinate = 0
(b) abscissa = 0
(c) abscissa = -3
(d) ordinate = 4

5.
Find the coordinates of a point:
(i) whose ordinate is 6 and lies on y-axis
(ii) whose abscissa is -3 and lies on x-axis
6.
Points A(5,3), B(-2,3) and D(5,-4) are three vertices of a square ABCD.Plot these points on a graph paper and hence find the coordinates of vertex C.
7.
The are(\(\triangle OAB\)) = area(\(\triangle OPQ\)).Find the ordinate of point A.

8.
In which quadrant do the given points lie?(3,-2)
9.
See figure and write the following:
(i) The coordinates of B.
(ii) The coordinates of C.
(iii) The point identified by the coordinates (-3,-5)

(iv) The point identified by the coordinates (2, - 4).
(v) The abscissa of the point D.
(vi) The ordinate of the point H.
(vii) The coordinates of the point L.
(viii) The coordinates of the point M.
10.
How will you describe the position of a table lamp on your study table another person?
11.
Write the coordinates of A, B, C and D from the figure given below:

12.
The perpendicular distance of a point from the x-axis is 2 units and the perpendicular distance from the y-axis is 5 units.Write the coordinates of such a point if it lies in the:
(i) I quadrant (ii) II quadrant (iii) III quadrant (iv) IV quadrant
13.
In which quadrant do the given point lie? (4,-1)
14.
In which quadrant do the given point lie? (-3,5)
15.
In which quadrant do the given point lie?(-2,-3)
16.
In fourth quadrant, y is
-ve
+ve
0
None of these
17.
The line of intersection of IV and I quadrants is
x - axis
y - axis
vertical axis
None of these
18.
If x is negative and y is positive, then the point (x,y) lies in
II quadrant
III quadrant
IV quadrant
I quadrant
19.
If x and y, both are positive, then the point (x,y) lies in
I quadrant
II quadrant
III quadrant
IV quadrant
20.
Which of the following is an example of a geometrical line?
Black Board
Sheet of paper
Meeting place of two walls
Tip of the sharp pencil
1.

The coordinates of the missing vertex S are (-4,-5)
2.

(i) The point B lies in II quadrant.
(ii) The point E lies in III quadrant.
(iii) The point S lies in IV quadrant.
(iv) The point T lies in I quadrant.
3.
In right triangle AOB
OA2 + OB2 = AB2 [By Pythagoras Theorem]
\(\Rightarrow \) 42 + OB2 = 52
\(\Rightarrow \) 16 + OB2 = 25
\(\Rightarrow \) OB2 = 9
\(\Rightarrow \) OB = 3
\(\Rightarrow \) B = (0, 3)
4.
(a) The points whose ordinates are O and Q and N.
(b) The points whose abscissae are 0 are T and P.
(c) The points whose abscissae are -3 are Q and R.
(d) The points whose ordinates are 4 are S and L.
5.
(i) (0,6)
(ii) (-3,0)
6.
\(C\rightarrow \left( -2,-4 \right) \)

7.
\(A\rightarrow \left( 3,4 \right) \)
8.
IV
9.
(i) \(B\rightarrow (-5,2)\)
(ii) \(C\rightarrow \left( 5,-5 \right) \)
(iii) E
(iv) G
(v) 6
(vi) -3
(vii) \(L\rightarrow (0,5)\)
(viii) \(M\rightarrow (-3,0)\)
10.
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.

11.
\(A\rightarrow \left( 5,0 \right)\)
\(\\ B\rightarrow \left( 0,3 \right) \)
\(\\ C\rightarrow \left( -5,0 \right)\)
\(\\ D\rightarrow \left( 0,-2 \right)\)
12.
(i) (5,2) (ii) (-5,2) (iii) (-5,-2) (iv) (5,-2)
13.
IV
14.
II
15.
III
16.
(a)
-ve
17.
(a)
x - axis
18.
(a)
II quadrant
19.
(a)
I quadrant
20.
(c)
Meeting place of two walls
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