Mathematics Standard 9>Chapter 5 - Coordinate Geometry>Exercise>Q 8

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9th Tamil Nadu Board

IMPORTANT

Earn 100

The abscissa of a point $A$ is equal to its ordinate, and its distance from the point $B (1, 3)$ is $10$ units. What are the coordinates of $A$ ?

Important Questions on Coordinate Geometry

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9th Tamil Nadu Board

IMPORTANT

Mathematics Standard 9>Chapter 5 - Coordinate Geometry>Exercise>Q 9

The point

(x, y)

is equidistant from the points

(3, 4)

and

(- 5, 6)

. Find a relation between

x

and

y

.

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9th Tamil Nadu Board

IMPORTANT

Mathematics Standard 9>Chapter 5 - Coordinate Geometry>Exercise>Q 10

Let

A (2, 3)

and

A

be two points. If

P

lies on the

x

-axis, such that

A P = \frac{3}{7} A B

. Find the coordinates of

P

.

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9th Tamil Nadu Board

IMPORTANT

Mathematics Standard 9>Chapter 5 - Coordinate Geometry>Exercise>Q 11

Show that the point

(11, 2)

is the centre of the circle passing through the points

(1, 2), (3, - 4)

and

(5, - 6)

.

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9th Tamil Nadu Board

IMPORTANT

Mathematics Standard 9>Chapter 5 - Coordinate Geometry>Exercise>Q 12

The radius of a circle with centre at origin is

30

units. Write the coordinates of the points where the circle intersects the axes. Find the distance between any two such points.

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9th Tamil Nadu Board

IMPORTANT

Mathematics Standard 9>Chapter 5 - Coordinate Geometry>Thinking Corner

If

D

is the midpoint of

A C

and

C

is the mid-point of

A B

, then find the length of

A B

when

A D = 4 cm

.

MEDIUM

9th Tamil Nadu Board

IMPORTANT

Mathematics Standard 9>Chapter 5 - Coordinate Geometry>Thinking Corner

$A (6, 1), B (8, 2)$ and $C (9, 4)$ are three vertices of a parallelogram $A B C D$ taken in order. Find the fourth vertex $D$ . If $(x_{1}, y_{1}), (x_{2}, y_{2}), (x_{3}, y_{3})$ and $(x_{4}, y_{4})$ are the four vertices of the parallelogram, then using the given points, find the value of $(x_{1} + x_{3} - x_{2}, y_{1} + y_{3} - y_{2})$ and state the reason for your result.