Understanding ICSE Mathematics Class 10>Chapter 11 - Section Formula>Multiple Choice Questions>Q 8

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The fourth vertex $D$ of a parallelogram $A B C D$ whose three vertices are $A (- 2, 3), B (6, 7)$ and $C (8, 3)$ is

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Important Questions on Section Formula

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Understanding ICSE Mathematics Class 10>Chapter 11 - Section Formula>Multiple Choice Questions>Q 9

The point which divides the line segment joining the points

(7, - 6)

and

(3, 4)

in the ratio

1 : 2

internally lies in the

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Understanding ICSE Mathematics Class 10>Chapter 11 - Section Formula>Multiple Choice Questions>Q 10

The centroid of the triangle whose vertices are

(3, - 7), (- 8, 6)

and

(5, 10)

is

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Understanding ICSE Mathematics Class 10>Chapter 11 - Section Formula>Chapter Test>Q 1

The base

B C

of an equilateral triangle

A B C

lies on

y -

axis. The coordinates of the point

C

are

(0, - 3)

. If the origin is the midpoint of

B C

, find the coordinates of points

A

and

B

.

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Understanding ICSE Mathematics Class 10>Chapter 11 - Section Formula>Chapter Test>Q 2

Find the coordinates of the point that divides the line segment joining the points

P (5, - 2)

and

Q (9, 6)

internally in the ratio

3 : 1

.

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Understanding ICSE Mathematics Class 10>Chapter 11 - Section Formula>Chapter Test>Q 3

Find the coordinates of the point

P

which is three-fourth of the way from

A (3, 1)

to

B (- 2, 5)

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Understanding ICSE Mathematics Class 10>Chapter 11 - Section Formula>Chapter Test>Q 4

P and Q

are such two points on the line segment obtained by joining the points

A (- 2, 5) and B (3, 1)

that

A P = P Q = Q B

. Then find the coordinates of the midpoint of

P Q

.

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Understanding ICSE Mathematics Class 10>Chapter 11 - Section Formula>Chapter Test>Q 5

The centre of a circle is

(α + 2, α - 5)

. Find the value of

α

, given that the circle passes through the points

(2, - 2)

and

(8, - 2)

.

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Understanding ICSE Mathematics Class 10>Chapter 11 - Section Formula>Chapter Test>Q 6

The midpoint of the line segment joining

A (2, p) and B (q, 4)

is

(3, 5)

. Calculate the values of

p and q

.