HARD

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The adjoining figure shows an isosceles triangle $O A B$ with sides $O A = A B = 13$ units and $O B = 10$ units. Find the coordinates of the vertices.

Important Questions on Coordinate Geometry

EASY

Mathematics>Geometry>Coordinate Geometry>Basics of Coordinate Geometry

Perpendicular distance of point

(- 2, - 3)

from

y -

axis is ____

MEDIUM

Mathematics>Geometry>Coordinate Geometry>Basics of Coordinate Geometry

Draw the coordinate axes and mark the points

A (1, 1), B (7, 1)

. Then draw an isosceles triangle

A B C

with

A B

as the hypotenuse.

EASY

Mathematics>Geometry>Coordinate Geometry>Basics of Coordinate Geometry

Draw the coordinate axes and mark the points $A (- 3, 0), B (3, 0)$ and $C (0, 3 \sqrt{3})$ .

EASY

Mathematics>Geometry>Coordinate Geometry>Basics of Coordinate Geometry

Write the coordinates of the point of intersection of the lines $x + y = 5$ and $x - y = 5$ .

EASY

Mathematics>Geometry>Coordinate Geometry>Basics of Coordinate Geometry

If the co-ordinate of any point is

(0, 5)

then this point will exist on the _____ axis.

EASY

Mathematics>Geometry>Coordinate Geometry>Basics of Coordinate Geometry

The coordinate of the origin point is_____.

MEDIUM

Mathematics>Geometry>Coordinate Geometry>Basics of Coordinate Geometry

A circle is drawn with

(5, 3)

as centre.

(5, 6)

is a point on the circle. What is the length of the tangents from the origin to the circle ?

EASY

Mathematics>Geometry>Coordinate Geometry>Basics of Coordinate Geometry

In the given figure, $A P$ bisect $∠ B A C$ . If $AB = 4 cm, AC = 6 cm$ and $BP = 3 cm$ , then the length of $CP$ is:

Question Image

EASY

Mathematics>Geometry>Coordinate Geometry>Basics of Coordinate Geometry

$A (0, 0); B (2, 0); C (0, - 2)$ are the vertices of a _____ triangle.

EASY

Mathematics>Geometry>Coordinate Geometry>Basics of Coordinate Geometry

Draw the coordinate axes and mark the points

A (1, 1), B (7, 1)

. Then draw an isosceles triangle

A B C

with

A B

as the hypotenuse. Write the coordinates of

C

EASY

Mathematics>Geometry>Coordinate Geometry>Basics of Coordinate Geometry

A B

is a straight line and

O

is point on the line

A B

. If one draws a line

O C

not coinciding with

O A

O B

, then the

∠ A O C

and

∠ B O C

are

EASY

Mathematics>Geometry>Coordinate Geometry>Basics of Coordinate Geometry

Two vertices of a triangle are

(3, - 5)

and

(- 7, 4) .

If its centroid is

(2, - 1)

, then find the third vertex.

HARD

Mathematics>Geometry>Coordinate Geometry>Basics of Coordinate Geometry

The incentre of the triangle with vertices

(1, \sqrt{3}), (0, 0) and (2, 0)

is:

EASY

Mathematics>Geometry>Coordinate Geometry>Basics of Coordinate Geometry

The coordinates of origin are

(x, y)

EASY

Mathematics>Geometry>Coordinate Geometry>Basics of Coordinate Geometry

The equation of the graph shown here is:

Question Image

EASY

Mathematics>Geometry>Coordinate Geometry>Basics of Coordinate Geometry

In which quadrant will the point

(- 3, - 5)

lie

MEDIUM

Mathematics>Geometry>Coordinate Geometry>Basics of Coordinate Geometry

What is the area (in square units) of the triangular region enclosed by the graphs of the equations

x + y = 3, 2 x + 5 y = 12

and the

x

-axis?

EASY

Mathematics>Geometry>Coordinate Geometry>Basics of Coordinate Geometry

Draw the coordinate axes and mark the points

A (1, 1), B (7, 1)

MEDIUM

Mathematics>Geometry>Coordinate Geometry>Basics of Coordinate Geometry

Draw the graph of

y = - 3 x^{2}

EASY

Mathematics>Geometry>Coordinate Geometry>Basics of Coordinate Geometry

Point

(3, - 5)

lies in which quadrant?

The adjoining figure shows an isosceles triangle OAB with sides OA=AB=13 units and OB=10 units. Find the coordinates of the vertices.

Important Questions on Coordinate Geometry

Learn and Prepare for any exam you want !

The adjoining figure shows an isosceles triangle $O A B$ with sides $O A = A B = 13$ units and $O B = 10$ units. Find the coordinates of the vertices.