Doubtify : One-Stop Solution for all Your Doubts

Pinned Post

❓ Question If f ( x ) = x 2 + 2 x + 1 − x 2 − 2 x + 1 , f(x)=\sqrt{x^2+2x+1}-\sqrt{x^2-2x+1}, find f ⁣ ( − 5 4 ) + f ⁣ ( 3 4 ) + f ⁣ ( 7 4 ) …

❓ Question Evaluate 81 1 log ⁡ 3 5 + 27 log ⁡ 36 log ⁡ 9 + 3 4 log ⁡ 7 9 . 81^{\frac{1}{\log_3 5}} + 27^{\frac{\log 36}{\log 9}} + 3^{\frac{4}{\l…

❓ 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…