All In One ICSE Mathematics Class 10>Chapter 11 - Section and Mid-Point Formulae>CHAPTER EXERCISE>Q 40

EASY

10th ICSE

IMPORTANT

Earn 100

If $A (- 4, 3)$ and $B (8, - 6)$ ,in what ratio, is the line joining $A B$ divided by the $X$ -axis?

Important Questions on Section and Mid-Point Formulae

EASY

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 11 - Section and Mid-Point Formulae>CHAPTER EXERCISE>Q 41

The line joining

P (- 4, 5)

and

Q (3, 2)

intersect the

Y

axis at

R

.

P M

and

Q N

are perpendicular from

P

and

Q

on the X-axis. Find the ratio

P R : P Q .

MEDIUM

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 11 - Section and Mid-Point Formulae>CHAPTER EXERCISE>Q 41

The line joining

P (- 4, 5) and Q (3, 2)

intersects the Y-axis at

R

.

PM and QN

are perpendicular from

P and Q

on the X-axis. Find the coordinates of

R

.

EASY

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 11 - Section and Mid-Point Formulae>CHAPTER EXERCISE>Q 41

The line joining

P (- 4, 5) and Q (3, 2)

intersects the Y-axis at

R

.

PM and QN

are perpendicular from

P and Q

on the X-axis. Find the area of the quadrilateral

PMNQ

.

EASY

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 11 - Section and Mid-Point Formulae>CHAPTER EXERCISE>Q 42

The centre

O

of a circle has the coordinates

(4, 5)

and one point on the circumference is

(8, 10)

. Find the coordinates of the other end of the diameter of the circle through this point.

MEDIUM

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 11 - Section and Mid-Point Formulae>CHAPTER EXERCISE>Q 43

If the coordinates of the mid-points of the sides of a triangle are

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

, then find the coordinates of its vertices.

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 11 - Section and Mid-Point Formulae>CHAPTER EXERCISE>Q 44

If two vertices of a parallelogram are (2, 3) and (0, -1) and the diagonals cut at (-5, 2), then find the other vertices of the parallelogram.

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 11 - Section and Mid-Point Formulae>CHAPTER EXERCISE>Q 45

If a vertex of a triangle be

(1, 1)

and the mid-pints of the sides through it be

(- 2, 3)

and

(5, 2)

. Find the other vertices.

MEDIUM

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 11 - Section and Mid-Point Formulae>CHAPTER EXERCISE>Q 46

The coordinates of the vertices of

∆ ABC

are

A (7, 2), B (9, 10)

and

C (1, 4)

. If

E

and

F

are the mid-points of

AB

and

A C

respectively, prove that

EF = \frac{1}{2} BC

.