Class 9

Asked: November 3, 2020In: Class 9

A farmer was having a field in the form of a parallelogram PQRS. She took any point A on RS and joined it to points P and Q. In how many parts the fields is divided? What are the shapes of these parts? The farmer wants to sow wheat and pulses in equal portions of the field separately. How should she do it?

NCERT Solutions for Class 9 Maths Chapter 9 Important NCERT Questions Areas of Parallelograms and Triangles NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 9.2 Page No:160 Questions No:6

Ishita Katyal

Asked: November 3, 2020In: Class 9

In a triangle ABC, E is the mid-point of median AD. Show that ar (BED) = 1/4 ar (ABC).

NCERT Solutions for Class 9 Maths Chapter 9 Important NCERT Questions Areas of Parallelograms and Triangles NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 9.3 Page No:162 Questions No:2

Ishita Katyal

Asked: November 3, 2020In: Class 9

Show that the diagonals of a parallelogram divide it into four triangles of equal area.

NCERT Solutions for Class 9 Maths Chapter 9 Important NCERT Questions Areas of Parallelograms and Triangles NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 9.3 Page No:162 Questions No:3

Ishita Katyal

Asked: November 3, 2020In: Class 9

D and E are points on sides AB and AC respectively of Δ ABC such that ar (DBC) = ar (EBC). Prove that DE || BC.

NCERT Solutions for Class 9 Maths Chapter 9 Important NCERT Questions Areas of Parallelograms and Triangles NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 9.3 Page No:163 Questions No:7

Ishita Katyal

Asked: November 3, 2020In: Class 9

XY is a line parallel to side BC of a triangle ABC. If BE || AC and CF || AB meet XY at E and F respectively, show that ar (ABE) = ar (ACF)

NCERT Solutions for Class 9 Maths Chapter 9 Important NCERT Questions Areas of Parallelograms and Triangles NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 9.3 Page No:163 Questions No:8

Ishita Katyal

Asked: November 3, 2020In: Class 9

Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at O. Prove that ar (AOD) = ar (BOC).

NCERT Solutions for Class 9 Maths Chapter 9 Important NCERT Questions Areas of Parallelograms and Triangles NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 9.3 Page No:163 Questions No:10

Ishita Katyal

Asked: November 3, 2020In: Class 9

A villager Itwaari has a plot of land of the shape of a quadrilateral. The Gram Panchayat of the village decided to take over some portion of his plot from one of the corners to construct a Health Centre. Itwaari agrees to the above proposal with the condition that he should be given equal amount of land in lieu of his land adjoining his plot so as to form a triangular plot. Explain how this proposal will be implemented.

NCERT Solutions for Class 9 Maths Chapter 9 Important NCERT Questions Areas of Parallelograms and Triangles NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 9.3 Page No:164 Questions No:12

Ishita Katyal

Asked: November 3, 2020In: Class 9

ABCD is a trapezium with AB || DC. A line parallel to AC intersects AB at X and BC at Y. Prove that ar (ADX) = ar (ACY).

NCERT Solutions for Class 9 Maths Chapter 9 Important NCERT Questions Areas of Parallelograms and Triangles NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 9.3 Page No:164 Questions No:13

Ishita Katyal

Asked: November 3, 2020In: Class 9

Parallelogram ABCD and rectangle ABEF are on the same base AB and have equal areas. Show that the perimeter of the parallelogram is greater than that of the rectangle.

NCERT Solutions for Class 9 Maths Chapter 9 Important NCERT Questions Areas of Parallelograms and Triangles NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 9.4 Page No:164 Questions No:1

Ishaan Khatter

Asked: November 3, 2020In: Class 9

Fill in the blanks: Fill in the blanks: The center of a circle lies in…………………. of the circle. (exterior/interior)

NCERT Solutions for Class 9 Maths Chapter 10 Important NCERT Questions Circles NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 10.1 Page No:171 Questions No:1 Part:1

Category: Class 9

In a triangle ABC, E is the mid-point of median AD. Show that ar (BED) = 1/4 ar (ABC).

Show that the diagonals of a parallelogram divide it into four triangles of equal area.

D and E are points on sides AB and AC respectively of Δ ABC such that ar (DBC) = ar (EBC). Prove that DE || BC.

XY is a line parallel to side BC of a triangle ABC. If BE || AC and CF || AB meet XY at E and F respectively, show that ar (ABE) = ar (ACF)

Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at O. Prove that ar (AOD) = ar (BOC).

ABCD is a trapezium with AB || DC. A line parallel to AC intersects AB at X and BC at Y. Prove that ar (ADX) = ar (ACY).

Parallelogram ABCD and rectangle ABEF are on the same base AB and have equal areas. Show that the perimeter of the parallelogram is greater than that of the rectangle.

Fill in the blanks: Fill in the blanks: The center of a circle lies in…………………. of the circle. (exterior/interior)

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Category: Class 9

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