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The solution of the equation {log _7}{log _5}(sqrt {{x^2} + 5 + x} ) = 0 a) x = 2 b) x = 3 c) x = 4 d) x = - 2 ...
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A rod OA of mass m and length L hinged at end O can rotate smoothly in vertical plane about horzontal axis passing through O .It is released from a horizontal position as shown. and strikes a block of mass M kept vertically b ...
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A cylindrical pulley of mass M and radius R is connected to another pulley of mass M/2 ,R/2 through a massless string as shown. If sufficient string is wrapped over larger pulley,find the accleration of mass M attached to the ...
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Given that a, b, and c are all positive, and that ab = 21, ac = 18, and bc = 42, ï¬nd a + b + c. ...
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A flight of stairs has 10 steps. A person can go up the steps one at a time, two at a time, or any combination of 1's and 2's. Find the total number of ways in which the person can go up the stairs. ...
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If a, b, c are the sides of triangle ABC satisfying log(1+c/a) + log a – log b = log 2. Also a(1 – x2) + 2bx + c(1 + x2) = 0 has two equal roots. Find the value of sin A + sin B + sin C. ...
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For x ε (0, π/2) and sin x = 1/3, if \sum_{n=0}^{\infty }\frac{sin(nx)}{3^{n}}=\frac{a+b\sqrt{b}}{c} then find the value of (a + b + c), where a, b, c are positive integers. ...
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Two distinct numbers a and b are chosen randomly from the set {2, 22, 23, 24, ......, 225}. Find the probability that logab is an integer. ...
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If the sum of the roots of the equation 2333x-2+2111x+1=2222x+2+1 is expressed in the form a/b find a + b, where a/b is in its lowest form. ...
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Prove the formula for vector triple product.. ...
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The Joint Admission Board of the Indian Institutes of Technology (IIT) has officially released the schedule for JEE (Advanced) - 2014 for admissions to the IITs. The JEE Advanced will be held on May 25, 2014, a week in advanc ...
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Joint Entrance Examination (JEE Main) for the year 2014 exam will be held on 6th April. Applications for the exam will be available from Nov 2013. Joint Admission Board (JAB) has announced the applications date for the exam J ...
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Directions: Questions from 1 to 5 are based on answer you are going to mark these 5 questions. 1. The first question with B as the correct answer is: a) 1 b) 4 c) 3 d) 2 2. The answer to Question 4 is: a) D b) A c) B d) C 3. ...
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What number would logically come next in this sequence? 4 6 5 9 4 4 2 4 ? ...
