Thales Institute

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## 📚 Thales Institute Assignment

### Chapter: Pair of Linear Equations in Two Variables

### Method: Substitution Method (Ex 3.2 Level)

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### 🔹 Section A (Basic Level)

1. Solve:
x + y = 5
x – y = 1

2. Solve:
x + 2y = 8
x – y = 2

3. Solve:
2x + y = 7
x + y = 5

4. Solve:
x + y = 10
x – 2y = 4

5. Solve:
3x + y = 11
x + y = 7

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### 🔹 Section B (NCERT Level)

6. Solve:
2x + 3y = 11
x – y = 1

7. Solve:
3x – y = 5
2x + y = 11

8. Solve:
x + 3y = 10
2x – y = 3

9. Solve:
4x + y = 9
x – 2y = –1

10. Solve:
5x – y = 7
2x + y = 8

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### 🔹 Section C (Application Level)

11. The sum of two numbers is 15 and their difference is 3. Find the numbers.

12. Two numbers have sum 20. One is twice the other. Find them.

13. The perimeter of a rectangle is 40 cm. Length is 4 cm more than breadth. Find dimensions.

14. The sum of digits of a two-digit number is 9. The number formed by reversing digits is 27 more. Find the number.

15. A number exceeds another by 6. Their sum is 30. Find numbers.

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### 🔹 Section D (Higher Level / HOTS)

16. Solve:
3x + 2y = 13
2x – y = 4

17. Solve:
5x – 2y = 4
3x + y = 11

18. Solve:
7x + 3y = 17
2x – y = 3

19. Solve:
x + 4y = 20
3x – y = 5

20. Solve:
6x + y = 19
x – 2y = 1

3 months ago | [YT] | 2

Thales Institute

📚 Thales Institute Assignment


Class 10 Maths – Polynomials | Practice Paper



🔹 **Section A: MCQs (1 Mark Each)



1. If one zero of ((k-1)x^2 + kx + 1) is –3, find k.
(a) 4/3 (b) –4/3 (c) 2/3 (d) –2/3



2. If zeroes of (x^2 + (a+1)x + b) are 2 and –3, find a and b.



3. Number of zeroes of a polynomial equals number of points where graph:
(a) intersects y-axis (b) intersects x-axis

(c) both (d) none



4. If graph does not intersect x-axis, number of zeroes is:
(a) 0 (b) 1 (c) 0 or 1 (d) none



5. If (a + b + c = 0) in (ax^2 + bx + c), then one zero is:



6. Number of polynomials having zeroes –2 and 5 is:



7. Form polynomial with sum = –5 and product = 6.



8. If zeroes of (2x^2 – 7x + k) are reciprocal, find k.



9. Assertion-Reason (real zeroes of (x^2 + 4x + 5))



10. Assertion-Reason (sum of zeroes of (x^2 – 2kx + 8))

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🔹 Section B (2 Marks Each)

11. Find zeroes of (√3x^2 + 10x + 7√3).



12. Form quadratic polynomial with zeroes –9 and –1/9.



13. Find k if sum of zeroes = 2 × product in (ky^2 + 2y – 3k).



14. If product of zeroes of (ax^2 – 6x – 6 = 4), find a and sum.

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🔹 Section C (3 Marks Each)

15. Find zeroes of (4x^2 + 24x + 36) and verify relations.



16. Form polynomial with zeroes (2α, 2β) if α, β are zeroes of (4x^2 + 4x + 1).



17. Find k if ((α + β)^2 – αβ = 24) for (2x^2 + 5x + k).

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🔹Section D (5 Marks)

18. If α, β are zeroes of (5x^2 + 5x + 1), find:
(i) (α^2 + β^2)
(ii) (1/α + 1/β)
(iii) (α^3 + β^3)

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🔹 Section E (Case Study)

19. For polynomial (10x^2 – x – 3):
(i) Find zeroes
(ii) Form polynomial with sum = 0, product = 1

OR

Find sum & product of zeroes of (√3x^2 – 14x + 8√3)

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20. Given (h(t) = -16t^2 + 8t + k):
(i) Find k
(ii) When does object hit ground?

OR

If zeroes are –1 and 2, form polynomial

3 months ago | [YT] | 3

Thales Institute

📚 Day 3's Assignment is Out! 🚀

Today’s **Maths Assignment (PYQs + Practice Questions)** has been shared on our Telegram channel 💯

🎯 Make sure you:
✔ Download the assignment
✔ Solve all questions seriously
✔ Revise concepts from today’s class

📲 **Join Telegram Channel Now:**
👉 t.me/thalesinstitute

🔥 Don’t skip practice — consistency is the key to scoring 90%+ in Maths!

3 months ago | [YT] | 2

Thales Institute

📚 **Day 2 Assignment | 50 Days Maths Series 🚀**

Great job completing **Day 2: Real Numbers (L2)** with Thales Institute!
Now it’s time to **strengthen your concepts** with this assignment 💯

📝 **Prove that the following are Irrational Numbers:**

1. √3
2. √7
3. √11
4. 2 + √3
5. 5 + √7
6. 3√2
7. 4√5
8. 7 + √2
9. 6 + √3
10. 2√7
11. 1/√3
12. 5/√2
13. 3 + 2√2
14. 4 + 3√5
15. √2 + √3
16. 2√3 + √5
17. 7 + 2√7
18. 9 − √2
19. 10 + √11
20. (√2 + 1)/√3

🎯 **Instructions:**
✔ Try all questions on your own
✔ Use proper step-by-step proof
✔ Revise concepts of irrational numbers

📲 **Doubt? Join our Telegram:**
👉 t.me/thalesinstitute

🏫 **Thales Institute**
📞 9178310164

🔥 Drop your answers in comments & get ready for **Day 3 (PYQs + Doubt Class)**!

3 months ago | [YT] | 3

Thales Institute

📢 **Assignment Time – LCM & HCF Practice! 🔢**

Dear Students,
Today’s assignment is based on **LCM (Least Common Multiple)** and **HCF (Highest Common Factor)** of **3-digit numbers**. Practice these questions carefully to strengthen your concepts 💪

📝 **Solve the following:**

1. 144 and 216
2. 128 and 256
3. 135 and 225
4. 168 and 252
5. 175 and 245
6. 192 and 288
7. 156 and 234
8. 147 and 210
9. 162 and 243
10. 180 and 270
11. 198 and 264
12. 224 and 336
13. 252 and 378
14. 196 and 294
15. 225 and 300
16. 216 and 324
17. 231 and 308
18. 250 and 375
19. 272 and 408
20. 288 and 432

📌 **Task:**
👉 Find both **HCF and LCM** for each pair
👉 Use prime factorization or division method

💡 **Remember:**
LCM × HCF = Product of the two numbers

⏰ **Deadline:** Submit before next class

🔥 *Stay consistent, stay ahead!*
— **Thales Institute**

3 months ago | [YT] | 0

Thales Institute

🚀 **Day 1 Live Class – Huge Success!** 🎉

A big THANK YOU to all the students who joined us for **Day 1 of the 50 Days Maths Series** by Thales Institute 🙌
Your energy, participation, and dedication made the session amazing! 💯

We successfully covered **Real Numbers (L1)** with strong concept clarity, and this is just the beginning! 🔥

📚 Get ready for Day 2 with even more powerful learning, practice & PYQs. Stay consistent and keep pushing towards your goal of scoring 90%+ in Maths!

📲 **Join our Telegram Channel for notes, updates & tests:**
👉 t.me/thalesinstitute

🏫 **Thales Institute**
📍 Plot no. 128, Lewis Rd, Samantarapur, Old Town, Bhubaneswar, Odisha 751002

📞 **Contact Us:**
9178310164 | 91783010164

🎯 Batches Available: Class 8, 9, 10, 11, 12

🔥 Don’t miss Day 2 – Let’s make Maths easy together!

3 months ago | [YT] | 0

Thales Institute

If resistance remains constant and voltage becomes three times, power becomes:

4 months ago | [YT] | 0

Thales Institute

The cleansing action of soap is due to:

4 months ago | [YT] | 1

Thales Institute

Which metal does NOT react with dilute hydrochloric acid?

4 months ago | [YT] | 1

Thales Institute

Which compound shows homologous series property?

4 months ago | [YT] | 1