Coordinate Geometry Important Questions | QB365

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Coordinate Geometry Important Questions

Published on: 05/03/2019

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Questions:

Generic 4

6 x 4 = 24

Mark the points (2,2), (2,-2), (-2,-2) and (-2,2) on a graph paper and join these points.Name the figure that you obtain.Also, find the area of the figure so obtained.

Plot the points (2,3), (-2,3), (-2,-3) and (2,-3) on a graph sheet.Join these points.Name the figure obtained.Also, find the area of the figure so obtained.

Plot the points A(3,0), B(3,3) and C(0,3) in a Cartesian plane.Join OA, OB, BC and CO.Name the figure so formed and write its one property.

Plot the points A, B, C, D from the table:

Points	A	B	C	D
x	8	-5	13	-4
y	10	13	-5	-16

and answer the following:
(a) Write the coordinates of A, B, C, D.
(b) Shade the triangle ABC.

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

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

Generic 3

5 x 3 = 15

The are(\(\triangle OAB\)) = area(\(\triangle OPQ\)).Find the ordinate of point A.

Plot the points P(-1,-1), Q(2,3) and R(8,11).Show that they are collinear.

In which quadrant do the given points lie?(-6,2)

10.

In which quadrant or on which axis do each of the points (-2,4), (3,-1), (-1,0), (1,2) and (-3,-5) lie?Verify your answer by locating them on the Cartesian plane.

11.

How will you describe the position of a table lamp on your study table another person?

Generic 2

5 x 2 = 10

12.

Locate the points (5,0), (0,5), (2,5), (5,2), (-3,5), (-3,-5),(5,-3) and (6,1) in the Cartesian plane.

13.

Find the coordinates of the points A, B, C, D, E and F.Which of the points are mirror images in the following figure?
(i) x-axis
(ii) y-axis

14.

Write the coordinates of A, B, C and D from the figure given below:

15.

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

16.

In which quadrant do the given point lie? (-3,5)

Multiple Choice Question

10 x 1 = 10

17.

By plotting the points O(0,0), A(1,0), B(1,1), C(0,1) and joining OA, AB, BC and CO, the figure we obtain is:

(a)

Square

(b)

Rectangle

(c)

Trapezium

(d)

Rhombus

18.

Write the coordinates of P

(a)

(1,-3)

(b)

(1,3)

(c)

(-1,-3)

(d)

(-1,3)

19.

Write the coordinates of P

(a)

(-2,-2)

(b)

(2,2)

(c)

(2,-2)

(d)

(-2,2)

20.

Mirror image of point (3,9) in x - axis is

(a)

(-3,9)

(b)

(9,3)

(c)

(3,9)

(d)

(3,-9)

21.

The number of parts, the coordinates axes divide the plane are:

(a)

two parts

(b)

four parts

(c)

six parts

(d)

eight parts

22.

The point M lies in the IV quadrant.The co-ordinates of point M is:

(a)

(a,b)

(b)

(-a,b)

(c)

(a,-b)

(d)

(-a,-b)

23.

In which quadrant does the point (-1,-1) lie?

(a)

(b)

(c)

III

(d)

24.

Where do the I and III quadrants meet?

(a)

in x - axis

(b)

in y - axis

(c)

at O

(d)

do not intersect

25.

If x is negative and y is positive, then the point (x,y) lies in

(a)

II quadrant

(b)

III quadrant

(c)

IV quadrant

(d)

I quadrant

26.

Rene Descartes belonged to

(a)

15^th Century

(b)

16^th Century

(c)

17^th Century

(d)

18^th Century

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Answers Key:

Generic 4

6 x 4 = 24

The figure we obtained is a square.
Area of the square = (4)² = 16 square units.

The figure obtained is a rectangle
Area of the rectangle = 4 x 6
=24 square units.

The figure formed is a square.
Its all the sides are of equal length.

(a) The coordinates A, B, C, D are (8,10), (-5,13), (13,5), (-4,-16) respectively.
(b) The triangle ABC has been shaded.

(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.

(i) (3,2)
(ii) (-3,2)
(iii) (-3,-2)
(iv)(3,-2)

Generic 3

5 x 3 = 15

\(A\rightarrow \left( 3,4 \right) \)

10.

(i) The point (-2,4) lies in the II quadrant.
(ii) The point (3, -1) lies in the IV quadrant.
(iii) The point (- 1,0) lies on the negative x-axis.
(iv) The point (1, 2) lies in the I quadrant.
(v) The point (- 3, - 5) lies in the Ill quadrant.

11.

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.

Generic 2

5 x 2 = 10

12.

13.

\(A\rightarrow \left( 2,2 \right)\)
\(\\ B\rightarrow \left( 1,4 \right)\)
\(\\ C\rightarrow \left( 5,5 \right)\)
\(\\ D\rightarrow \left( -1,4 \right)\)
\(\\ E\rightarrow \left( 2,-2 \right)\)
\(\\ F\rightarrow \left( -5,-5 \right) \)

14.

\(A\rightarrow \left( 5,0 \right)\)
\(\\ B\rightarrow \left( 0,3 \right) \)
\(\\ C\rightarrow \left( -5,0 \right)\)
\(\\ D\rightarrow \left( 0,-2 \right)\)

15.

(i) (5,2) (ii) (-5,2) (iii) (-5,-2) (iv) (5,-2)

16.

Multiple Choice Question

10 x 1 = 10

17.