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The difference of two natural numbers is 5 and the sum of their reciprocals is 3/10
The difference of two natural numbers is 5 and sum of their reciprocals is . Find the two numbers.
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Find the mean of the frequency distribution using step-deviation method
Find the mean of the following frequency distribution using step-deviation method. Take assumed mean = 28. Class interval Frequency 0–8 10 8–16…
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Kabir bought 120 shares with nominal value ₹100 at a premium of ₹25
Kabir bought 120 shares of a company with nominal value ₹100, available at a premium of ₹25. Find: (a) the money invested…
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Solve the quadratic equation (x − 2)² − 5x − 3 = 0
Solve the quadratic equation (x − 2)² − 5x − 3 = 0 and give your answer correct to 3 significant figures.
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A(−10, −2) and B(2, 10) are two end points of a line segment
A(−10, −2) and B(2, 10) are two end points of a line segment. If AB intersects the x-axis at P, find the:…
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The histogram represents the number of students of different heights
The histogram drawn on the graph represents the number of students of different heights (in cm). Using the graph, answer the following:…
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In the given diagram, DE ∥ BC and AD : DB = 2 : 3
In the given diagram, DE ∥ BC and AD : DB = 2 : 3. (a) Prove that: ΔADE ~ ΔABC and…
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The cost price of a TV set is ₹ 20,000 and the shopkeeper marked it for ₹ 24,000
The cost price of a TV set is ₹ 20,000. The shopkeeper marked it for ₹ 24,000. He sells it to a…
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Prove that (sec θ − cos θ)(cosec θ − sin θ) = sin θ cos θ
Prove that: (sec θ − cos θ)(cosec θ − sin θ) = sin θ cos θ
Question
Use ruler and compass for the following construction
Use ruler and compass for the following construction: (a) construct an equilateral triangle ABC of side 5 cm. (b) construct the circumcircle…