Aadrita Gupta

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

Rahul Singh

Asked: November 2, 2020In: Class 10

The following real numbers have decimal expansions as given below. In each case, decide whether they are rational or not. If they are rational, and of the form, p / q what can you say about the prime factors of q? (i) 43.123456789 (ii) 0.120120012000120000. . .

NCERT Solutions for Class 10 Maths Chapter 1 Important NCERT Questions Real Numbers NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 1.4 Page No:18 Questions No:3

Mayank Agarwal

Asked: November 2, 2020In: Class 9

Is zero a rational number? Can you write it in the form p/q, where p and q are integers and q ≠ 0?

NCERT Solutions for Class 9 Maths Chapter 1 Important NCERT Questions Number Systems NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 1.1 Page No:5 Questions No:1

Aadrita Gupta

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)

The following real numbers have decimal expansions as given below. In each case, decide whether they are rational or not. If they are rational, and of the form, p / q what can you say about the prime factors of q? (i) 43.123456789 (ii) 0.120120012000120000. . .

Is zero a rational number? Can you write it in the form p/q, where p and q are integers and q ≠ 0?

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