Concise Mathematics>Chapter 13 - Section and Mid-Point Formula>EXERCISE>Q 14

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10th ICSE

IMPORTANT

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$M$ is the midpoint of the line segment joining the points $A (- 3, 7)$ and $B (9, - 1) .$ Find the coordinates of point $M .$ Further, if $R (2, 2)$ divides the line segment joining $M$ and the origin in the ratio $p : q,$ find the ratio $p : q .$

Important Questions on Section and Mid-Point Formula

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10th ICSE

IMPORTANT

Concise Mathematics>Chapter 13 - Section and Mid-Point Formula>EXERCISE>Q 15

Calculate the ratio in which the line joining

A (- 4, 2)

and

B (3, 6)

is divided by point

P (x, 3) .

Also, find

x

.

HARD

10th ICSE

IMPORTANT

Concise Mathematics>Chapter 13 - Section and Mid-Point Formula>EXERCISE>Q 15

Calculate the ratio in which the line joining

A (- 4, 2)

and

B (3, 6)

is divided by point

P (x, 3) .

Also, find length of

AP .

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10th ICSE

IMPORTANT

Concise Mathematics>Chapter 13 - Section and Mid-Point Formula>EXERCISE>Q 16

Find the ratio in which the line

2 x + y = 4

divides the line segment joining the points

P (2, - 2)

and

Q (3 . 7) .

HARD

10th ICSE

IMPORTANT

Concise Mathematics>Chapter 13 - Section and Mid-Point Formula>EXERCISE>Q 17

If the abscissa of a point

P

is

2 .

Find the ratio in which this point divides the line segment joining the points

(- 4, 3)

and

(6, 3) .

Also, find the co-ordinates of point

P

.

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10th ICSE

IMPORTANT

Concise Mathematics>Chapter 13 - Section and Mid-Point Formula>EXERCISE>Q 18

The line joining the points

(2, 1)

and

(5, - 8)

is trisected at the points

P

and

Q .

If point

P

lies on the line

2 x - y + k = 0,

find the value of

k .

Also, find the co-ordinates of point

Q .

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10th ICSE

IMPORTANT

Concise Mathematics>Chapter 13 - Section and Mid-Point Formula>EXERCISE>Q 19

Find the image of the point

A (5, - 3)

under reflection in the point

P (- 1, 3) .

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IMPORTANT

Concise Mathematics>Chapter 13 - Section and Mid-Point Formula>EXERCISE>Q 20

M

is the midpoint of the line segment joining the points

A (0, 4)

and

B (6, 0) .

M

also divides the line segment

OP

in the ratio

1 : 3 .

Find coordinates of

M

.

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10th ICSE

IMPORTANT

Concise Mathematics>Chapter 13 - Section and Mid-Point Formula>EXERCISE>Q 20

$M$ is the midpoint of the line segment joining the points $A (0, 4)$ and $B (6, 0) .$ $M$ also divides the line segment $OP$ in the ratio $1 : 3 .$ Find coordinates of $P$ .

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