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CONFIDENTIAL DOCUMENT
"Prove that √5 is an irrational number." OR "Given that √3 is irrational, prove that (2 + √3) is also an irrational number."
"Find the ratio in which the line segment joining the points A(1, -5) and B(-4, 5) is divided by the x-axis. Also find the coordinates of the point of division."
"Find the zeroes of the quadratic polynomial x² + 7x + 10, and verify the relationship between the zeroes and the coefficients."
"State and Prove the Basic Proportionality Theorem (Thales Theorem)."
"Prove that the lengths of tangents drawn from an external point to a circle are equal."
"An auditorium has 20 seats in the first row, 22 seats in the second row, 24 seats in the third row and so on. If there are 30 rows in total, find: (i) How many seats are there in the 10th row? (ii) What is the total seating capacity of the auditorium?"
"The median of the following distribution is 525. Find the values of x and y, if the total frequency is 100."
| Class Interval | 0-100 | 100-200 | 200-300 | 300-400 | 400-500 | 500-600 | 600-700 | 700-800 | 800-900 | 900-1000 |
|---|---|---|---|---|---|---|---|---|---|---|
| Frequency | 2 | 5 | x | 12 | 17 | 20 | y | 9 | 7 | 4 |
"A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less for the same journey. Find the original speed of the train."
"From the top of a 7 m high building, the angle of elevation of the top of a cable tower is 60° and the angle of depression of its foot is 45°. Determine the height of the tower."
⚠️ IMPORTANT: Practice these questions thoroughly!
These are high-probability questions based on CBSE pattern analysis. Master these for guaranteed marks!
CONFIDENTIAL DOCUMENT
"Explain the circumstances under which Gandhiji decided to call off the Non-Cooperation Movement in 1922."
"Describe any three provisions of the Constitutional Amendment of 1992 which strengthened the third tier of democracy in India."
"Why is the tertiary sector becoming so important in India? Give any three reasons."
"Distinguish between Alluvial soil and Black soil on the basis of their formation and the crops grown in them."
"Describe any five major functions performed by political parties in a modern democracy."
"'Roadways still have an edge over Railways in India.' Justify the statement with five arguments."
"How do Self-Help Groups (SHGs) help the rural poor, especially women, to become self-reliant? Explain."
"Briefly trace the process of German Unification."
Extract-based question usually focused on the concept of Satyagraha or the significance of the Salt March.
"On the given political map of India, locate and label the following:
"Locate and label any three of the following:
⚠️ IMPORTANT: Practice these questions thoroughly!
These are high-probability questions based on CBSE pattern analysis. Master these for guaranteed marks!
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