Mathematics Standard 10>Chapter 5 - Coordinate Geometry>Exercise 5.5>Q 15

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IMPORTANT

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$(2, 1)$ is the point of intersection of two lines.

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Important Questions on Coordinate Geometry

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IMPORTANT

Mathematics Standard 10>Chapter 5 - Coordinate Geometry>Unit Exercise>Q 1

$P Q R S$ is a rectangle formed by joining the points $P (- 1, - 1), Q (- 1, 4), R (5, 4)$ and $S (5, - 1) .$ $A, B, C$ and $D$ are the midpoints of $P Q, Q R, R S$ and $S P$ respectively. Is the quadrilateral $A B C D$ a square, a rectangle or a rhombus? Justify your answer.

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IMPORTANT

Mathematics Standard 10>Chapter 5 - Coordinate Geometry>Unit Exercise>Q 2

The area of a triangle is

5 sq . units

. Two of its vertices are

(2, 1)

and

(3, - 2)

The third Vertex is

(x, y)

where

y = x + 3 .

Find the coordinates of the third vertex.

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Mathematics Standard 10>Chapter 5 - Coordinate Geometry>Unit Exercise>Q 3

Find the area of a triangle formed by the lines

3 x + y - 2 = 0, 5 x + 2 y - 3 = 0

and

2 x - y - 3 = 0

.

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Mathematics Standard 10>Chapter 5 - Coordinate Geometry>Unit Exercise>Q 4

If vertices of a quadrilateral are at

A (- 5, 7), B (- 4, k), C (- 1, - 6)

and

D (4, 5)

and its area is

72 sq . units

. Find the value of

k

.

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

Without using distance formula, show that the points

(- 2, - 1), (4, 0), (3, 3)

and

(- 3, 2)

are vertices of a parallelogram

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Mathematics Standard 10>Chapter 5 - Coordinate Geometry>Unit Exercise>Q 6

Find the equations of the lines, whose sum and product of intercepts are

1

and

- 6

respectively.

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10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 5 - Coordinate Geometry>Unit Exercise>Q 7

The owner of a milk store finds that, he can sell

980

litres of milk each week at

₹ 14 /

litre and

1220

litres of milk each week at

₹ 16

litre. Assuming a linear relationship between selling price and demand, if

k

litres could he sell weekly at

₹ 17 /

litre then find the value of

k

.

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10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 5 - Coordinate Geometry>Unit Exercise>Q 8

Find the image of the point

(3, 8)

with respect to the line

x + 3 y = 7

assuming the line to be a plane mirror.