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[16/02, 18:06] Rohan Sir: Euclid’s Division Lemma ka use karke 135 aur 225 ka HCF find kijiye. [16/02, 18:06] Rohan Sir: Prove that √5 is an irrational number. [16/02, 18:07] Rohan Sir: Agar α aur β quadratic polynomial ax² + bx + c ke zero hain, prove kijiye ki α + β = −b/a aur αβ = c/a. [16/02, 18:07] Rohan Sir: Ek quadratic polynomial find kijiye jiske zero 2 aur −3 hain. [16/02, 18:07] Rohan Sir: Solve kijiye: 2x + 3y = 11 4x − y = 5 [16/02, 18:08] Rohan Sir: Do numbers ka sum 27 hai aur unka difference 3 hai. Un numbers ko find kijiye. (Asked approx. 5 times [16/02, 18:08] Rohan Sir: Graph method se solve kijiye aur bataye ki lines intersecting, parallel ya coincident hain. [16/02, 18:08] Rohan Sir: Solve: x² − 5x + 6 = 0 by factorisation method. (Asked approx. 6+ times) Q9. Solve: 2x² + 3x − 2 = 0 by quadratic formula. (Asked approx. 5 times) Q10. Discriminant ka use karke roots ki nature find kijiye: 3x² − 5x + 2 = 0 (Asked approx. 5 times) Q11. Ek rectangle ka area 528 m² hai aur uski length breadth se 1 m zyada hai. Dimensions find kijiye. [16/02, 18:09] Rohan Sir: Q12. AP: 3, 7, 11, … ka 15th term find kijiye. (Asked approx. 6+ times) Q13. First 20 natural numbers ka sum find kijiye. (Asked approx. 5 times) Q14. Ek vyakti har mahine ₹100 bachaata hai aur saving har mahine ₹50 badh jati hai. 20 mahine me total saving find kijiye. (Asked approx. 4–5 times) [16/02, 18:09] Rohan Sir: Q15. Basic Proportionality Theorem (Thales Theorem) prove kijiye. (Asked approx. 4 times) Q16. Pythagoras Theorem prove kijiye. (Asked approx. 3–4 times) [16/02, 18:09] Rohan Sir: Q17. Points (2,3) aur (−2,7) ke beech distance find kijiye. (Asked approx. 6+ times) Q18. Prove kijiye ki points A(1,2), B(3,6), C(5,10) collinear hain. (Asked approx. 4–5 times) [16/02, 18:10] Rohan Sir: Q19. Prove kijiye: sin²θ + cos²θ = 1 (Asked approx. 6+ times) Q20. Ek building ki height find kijiye agar angle of elevation 30° hai aur observer 20m door hai. (Asked approx. 5 times) [16/02, 18:12] Rohan Sir: 1️⃣ Mean by Step Deviation Method Q1. Neeche diye gaye data ka mean Step Deviation Method se find kijiye: Class Interval Frequency 0–10 5 10–20 8 20–30 12 30–40 7 40–50 3 (Asked approx. 5 times) 2️⃣ Mean by Direct Method Q2. Following data ka mean Direct Method se find kijiye: Class Interval Frequency 5–15 6 15–25 9 25–35 12 35–45 8 (Asked approx. 4 times) 3️⃣ Median from Grouped Data Q3. Neeche diye gaye data ka median find kijiye: Class Interval Frequency 0–10 4 10–20 6 20–30 10 30–40 8 40–50 2 (Asked approx. 5 times) 4️⃣ Mode from Grouped Data Q4. Following data ka mode find kijiye: Class Interval Frequency 0–10 3 10–20 7 20–30 12 30–40 9 40–50 4 (Asked approx. 4–5 times) 5️⃣ Ogive se Median Find Karna Q5. Given cumulative frequency table se less than ogive draw karke median find kijiye. (Asked approx. 4 times) 🎲 Class 10 Maths – Probability (Most Repeated) 6️⃣ Dice Question Q6. Ek fair dice ko ek baar throw kiya jata hai. Probability find kijiye: (i) Even number aane ki (ii) Prime number aane ki (Asked approx. 6+ times) 7️⃣ Two Dice Question Q7. Do dice ek saath throw kiye jate hain. Probability find kijiye ki sum 7 aaye. (Asked approx. 5 times) 8️⃣ Playing Cards Q8. 52 cards ke deck me se ek card nikala jata hai. Probability find kijiye ki: (i) Red card ho (ii) King ho (Asked approx. 6+ times) 9️⃣ Coin Question Q9. Ek coin 3 baar toss kiya jata hai. Probability find kijiye ki exactly 2 heads aaye. (Asked approx. 5 times) 🔟 Complementary Event Q10. Ek card draw karne par not a king ki probability find kijiye. (Asked approx. 4–5 times)