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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 4 weeks ago \| Last Post: 4 weeks ago Forum IIT-JEE

	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 4 weeks ago \| Last Post: 4 weeks ago Forum IIT-JEE

	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 4 weeks ago \| Last Post: 4 weeks ago Forum IIT-JEE

	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 4 weeks ago \| Last Post: 4 weeks ago Forum IIT-JEE

	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 4 weeks ago \| Last Post: 4 weeks ago Forum IIT-JEE

Topics with their latest replies in reversed order
	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 4 weeks ago \| Last Post: 4 weeks ago Forum IIT-JEE

	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 4 weeks ago \| Last Post: 4 weeks ago Forum IIT-JEE

	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 4 weeks ago \| Last Post: 4 weeks ago Forum IIT-JEE

	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 4 weeks ago \| Last Post: 4 weeks ago Forum IIT-JEE

	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 4 weeks ago \| Last Post: 4 weeks ago Forum IIT-JEE

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