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Let \( f(x) \) be a continuously differentiable function on the interval \( (0, \infty) \) such that \( f(1) = 2 \) and \[ \lim_{t \to x} \frac{t^{10} f(x) - x^{10} f(t)}{t^9 - x^9} = 1 \] for each \( x > 0 \). Then, for all \( x > ...
By admin, Sep 23 
Topic Tags:  iit jee , 2024 ,
  IIT-JEE
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By admin
4 weeks ago
A student appears for a quiz consisting of only true-false type questions and answers all the questions. The student knows the answers of some questions and guesses the answers for the remaining questions. Whenever the student knows the answer of a q
By admin, Sep 23 
Topic Tags:  iit jee , probability ,
  IIT-JEE
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0
By admin
4 weeks ago
Let 𝑓 ( 𝑥 ) f(x) be a continuously differentiable function on the interval ( 0 , ∞ ) (0,∞) such that 𝑓 ( 1 ) = 2 f(1)=2 and lim ⁡ 𝑡 → 𝑥 𝑡 10 𝑓 ( 𝑥 ) − 𝑥 10 𝑓 ( 𝑡 ) 𝑡 9 − 𝑥 9 = 1 t→x lim ​ t 9 −x 9 t 10 f(x)−x 10 f(t) ​ =
By admin, Sep 23 
Topic Tags:  iit jee , advanced 2024 ,
  IIT-JEE
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By admin
4 weeks ago
A circle is inscribed in an equilateral triangle of side of length 12. If the area and perimeter of any square inscribed in this circle and 𝑚 𝑎𝑛𝑑 𝑛, respectively, then 𝑚+𝑛^2 is equal to
By admin, Sep 23 
Topic Tags:  circle ,
  IIT-JEE
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0
By admin
4 weeks ago
If 𝑃(6,1) be the orthocenter of the triangle whose vertices are 𝐴(5,−2), 𝐵(8, 3) 𝑎𝑛𝑑 𝐶(ℎ, 𝑘), then the point C lies on the circle:
By admin, Sep 23 
Topic Tags:  circle ,
  IIT-JEE
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By admin
4 weeks ago
Find the value of \[ \int_0^4 \lfloor x \rfloor \, dx \], where [.] represent the greatest integer function.
By rituwitu, Sep 17 
  Class 11th
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By rituwitu
1 month ago
The equation \(E = mc^2\) is very famous.
By rituwitu, Sep 17 
  Class 11th
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0
By rituwitu
1 month ago
What is Computer Application?
By rituwitu, Sep 17 
  BTech
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By rituwitu
1 month ago
What is example?
By rituwitu, Sep 17 
  IIT-JEE
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0
By rituwitu
1 month ago

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