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on January 21, 2025

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Solve all parts:

(A) If

A = \{2, 3, 5\}

, then the number of subsets of

A

are:
(a) 3 (b) 32 (c) 6 (d) 8

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Class 11 Math

Class 11 Q1: Solve all parts: (A) If A = { 2 , 3 , 5 } A = \{2, 3, 5\} , then the number of subsets of A A are: (a) 3 (b) 32 (c) 6 (d) 8 (B) sin ⁡ 2 0 ∘ sin ⁡ 4 0 ∘ sin ⁡ 6 0 ∘ sin ⁡ 8 0 ∘ = \sin 20^\circ \sin 40^\circ \sin 60^\circ \sin 80^\circ = (a) 1 16 \frac{1}{16} (b) 3 16 \frac{3}{16} (c) − 3 16 -\frac{3}{16} (d) None (C) Number of terms in the expansion of ( 1 + 3 x + 3 x 2 + x 3 ) 10 (1 + 3x + 3x^2 + x^3)^{10} is: (a) 31 (b) 32 (c) 10 (d) 11 (D) The m m -th term of an A.P. is 1 n \frac{1}{n} , and the n n -th term is 1 m \frac{1}{m} . Its ( m n ) (mn) -th term is: (a) m n mn (b) 1 m n \frac{1}{mn} (c) 1 (d) None (E) If the slope of a line passing through the points ( x , 1 ) (x, 1) and ( − 3 , 5 ) (-3, 5) is 4 3 \frac{4}{3} , then x = ? x = ? : (a) -4 (b) 4 (c) -6 (d) 6 Q2: Solve all parts: (a) If ( 4 x + 3 , y ) = ( 3 n + 5 , − 2 ) (4x+3, y) = (3n+5, -2) , find x x and y y . (b) Prove that sin ⁡ 10 5 ∘ + cos ⁡ 10 5 ∘ = cos ⁡ 4 5 ∘ \sin 105^\circ +...

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Introduction: The Union Public Service Commission (UPSC) examination is the pinnacle of competitive exams in India, opening the doors to prestigious positions in the country's civil services. Aspiring civil servants must navigate through a rigorous and well-structured exam pattern to achieve their dreams. In this blog, we will delve into the intricacies of the UPSC exam pattern, helping you understand its components, stages, and essential preparation strategies. 1. Preliminary Examination: The UPSC exam pattern commences with the Preliminary Examination, also known as the Civil Services Prelims. It consists of two objective-type papers: a. General Studies Paper I: Covers topics such as current affairs, history, polity, geography, economics, science and technology, environment, etc. b. General Studies Paper II (CSAT): Tests comprehension, logical reasoning, analytical ability, basic numeracy, and English language skills. 2. Main Examination: Successful ca...

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