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नीचे दिए गए अप्रत्याशित विषय पर लगभग 120 शब्दों में रचनात्मक लेख लिखिए।
आज़ादी का अमृत महोत्सव: स्वर्णिम 75 साल
Concept: निबंध लेखन
निम्नलिखित प्रश्न का उत्तर लगभग 60 शब्दों में लिखिए -
समाचार माध्यमों में प्रिंट माध्यम की विशेषताएँ लिखिए।
Concept: विभिन्न माध्यमों के लिए लेखन
Which of the following empire issued gold coins for the very first time in first century CE?
Concept: Towns and Trade
Why have many scholars written the months after Independence as being Gandhiji's "finest hours? Explain.
Concept: A Leader Announces Himself
Quit India movement was genuinely a mass movement bringing into its ambit hundreds of thousands of ordinary Indians. Elucidate the statement with suitable examples.
Concept: Knowing Gandhi
‘Gandhiji had mobilized a wider discontentment against the British rule in the Salt Satyagraha.’ Elucidate the statement with suitable examples.
Concept: The Salt Satyagraha a Case Study
Show that the relation R on R defined as R = {(a, b): a ≤ b}, is reflexive, and transitive but not symmetric.
Concept: Types of Relations
A function f : [– 4, 4] `rightarrow` [0, 4] is given by f(x) = `sqrt(16 - x^2)`. Show that f is an onto function but not a one-one function. Further, find all possible values of 'a' for which f(a) = `sqrt(7)`.
Concept: Types of Functions
Let A = {3, 5}. Then number of reflexive relations on A is ______.
Concept: Types of Relations
If `sin (sin^(−1) 1/5+cos^(−1) x)=1`, then find the value of x.
Concept: Properties of Inverse Trigonometric Functions
Prove that `2tan^(-1)(1/5)+sec^(-1)((5sqrt2)/7)+2tan^(-1)(1/8)=pi/4`
Concept: Properties of Inverse Trigonometric Functions
Prove that `tan {pi/4 + 1/2 cos^(-1) a/b} + tan {pi/4 - 1/2 cos^(-1) a/b} = (2b)/a`
Concept: Properties of Inverse Trigonometric Functions
Solve: tan-1 4 x + tan-1 6x `= π/(4)`.
Concept: Properties of Inverse Trigonometric Functions
If for any 2 x 2 square matrix A, `A("adj" "A") = [(8,0), (0,8)]`, then write the value of |A|
Concept: Types of Matrices
If A is a skew symmetric matric of order 3, then prove that det A = 0
Concept: Symmetric and Skew Symmetric Matrices
If A is a square matrix of order 3 with |A| = 4 , then the write the value of |-2A| .
Concept: Types of Matrices
If `[(2, 0),(5, 4)]` = P + Q, where P is symmetric, and Q is a skew-symmetric matrix, then Q is equal to ______.
Concept: Symmetric and Skew Symmetric Matrices
If `[(1, 2, 1),(2, 3, 1),(3, a, 1)]` is non-singular matrix and a ∈ A, then the set A is ______.
Concept: Types of Matrices
If | A | = | kA |, where A is a square matrix of order 2, then sum of all possible values of k is ______.
Concept: Operations on Matrices>Scalar Multiplication
If \[\begin{vmatrix}2x & 5 \\ 8 & x\end{vmatrix} = \begin{vmatrix}6 & - 2 \\ 7 & 3\end{vmatrix}\] , write the value of x.
Concept: Applications of Determinants and Matrices
