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❓ Question If log ⁡ ( x + 3 ) ( x 2 − x ) < 1 \log_{(x+3)}(x^2-x)<1 is satisfied for x ∈ ( a , b ) , x\in(a,b), then find the value of a …

❓ Question Let m = log ⁡ 245 175 , n = log ⁡ 1215 875. m=\log_{245}175,\qquad n=\log_{1215}875. Find the value of m − n 1 − m n . \frac{m-n}{1-m…

❓ Question Find the unique value of x x satisfying 4 x − 3 x + 1 2 = 3 x + 1 2 − 2 2 x − 1 . 4^x-3^{x+\frac12}=3^{x+\frac12}-2^{\,2x-1}. ✍️ S…

❓ Question Let A = ( a b 0 d ) , a , b , d ∈ { − 1 , 0 , 1 } A=\begin{pmatrix} a & b\\ 0 & d \end{pmatrix}, \qquad a,b,d\in\{-1,0,1\} and…

❓ Question Let A = { 0 , 1 , 2 , 3 , 4 , 5 } A=\{0,1,2,3,4,5\} and let R R be a relation on A A defined by ( x , y ) ∈ R ⟺ max ⁡ ( x , y…

❓ Question A 15% (w/w) H₂SO₄ solution has a density of 1.020 g cm⁻³ . Find: Molarity (M) Molality (m) (Given: Molar mass of H₂SO₄ = 98 …

❓ Question Magnesium reacts with sulphur to form magnesium sulphide. Mg + S → MgS \boxed{\text{Mg} + \text{S} \rightarrow \text{MgS}} Given: Ato…