Letter writing:
Imagine that you are Pawan/Pooja Aurade, residing at 102, Prestige Chambers, Shivpuri
Road, Solapur–420003.
Attempt any one letter based on the given situation.
(Formal Invitation)
Sender: \( 102, \, \text{Prestige Chambers, Shivpuri Road, Solapur–420003} \)
Date: \( 11 \, \text{October, 2025} \)
Recipient: Mr. Anil Tripathi, Educationist, Solapur
Dear Mr. Tripathi,
On behalf of the students of [Name of your School/College], I would like to extend a heartfelt invitation to you to be the chief guest and keynote speaker for our ‘Reading Inspiration Day’ celebration.
As you may know, the day is celebrated annually on \( 15^{th} \, \text{October} \), to commemorate the birth anniversary of our former President and visionary, Dr. A.P.J. Abdul Kalam. His life and work serve as a profound inspiration, particularly his belief in the transformative power of reading. Your extensive experience and dedication to the field of education are well-known throughout the city. We believe that your words would deeply resonate with our students and inspire them to cultivate a lifelong love for reading. It would be an honor for our students to hear your insights on how reading can shape their future and contribute to their personal and academic growth.
The event is scheduled for \( 15^{th} \, \text{October at 10:00 \, AM} \) in our school auditorium. Your presence and guidance would make this occasion truly special and memorable for all of us.
We eagerly await your positive response.
Yours sincerely,
Pawan/Pooja Aurade
You are Mridula/Mridul from 7, M Layout, Neelpuri. You have recently come across reports of hit-and-run cases, in which mostly juveniles were involved. These incidents have taken away some precious lives. As a responsible citizen, write a letter to the editor of a national daily expressing your concern and suggest measures to prevent such incidents in the future. You may use the following cues along with your own ideas to compose the letter.
You are Sunita/Sunil of 49, Oldams, Samudranagar. You have recently come across an advertisement for the post of Football Coach in Five Star Sports Academy. Write an application along with your bio-data.

In the following figure \(\triangle\) ABC, B-D-C and BD = 7, BC = 20, then find \(\frac{A(\triangle ABD)}{A(\triangle ABC)}\). 
The radius of a circle with centre 'P' is 10 cm. If chord AB of the circle subtends a right angle at P, find area of minor sector by using the following activity. (\(\pi = 3.14\)) 
Activity :
r = 10 cm, \(\theta\) = 90\(^\circ\), \(\pi\) = 3.14.
A(P-AXB) = \(\frac{\theta}{360} \times \boxed{\phantom{\pi r^2}}\) = \(\frac{\boxed{\phantom{90}}}{360} \times 3.14 \times 10^2\) = \(\frac{1}{4} \times \boxed{\phantom{314}}\) <br>
A(P-AXB) = \(\boxed{\phantom{78.5}}\) sq. cm.