JEE (Advanced) 2010 Paper-2
Consider the polynomial
$$f(x) = 1 + 2x + 3x^2 + 4x^3$$.
Let s be the sum of all distinct real roots of f(x) and let $$t = \mid s \mid$$.
The area bounded bythe curve y= f(x) and the lines x = 0, y = O and x = t, lies in the interval
Tangents are drawn from the point P(3, 4) to the ellipse $$\frac{x^2}{9} + \frac{y^2}{4} = 1$$ touching the ellipse at point A and B.
The equation of the locus of the point whose distances from the point P and the line AB are equal, is
For the following questions answer them individually
Match the statements in Column-I with those in Column-II.
(Note: Here z takes values in the complex plane and Im z and Re z denote, respectively, the imaginary part and the real part of z.]
789
456
123
0.-
Clear All
Match the statements in Column-I with the values in Column-II.
789
456
123
0.-
Clear All
A Vernier calipers has 1 mm marks on the main scale. It has 20 equal divisions on the Vernier scale which match with 16 main scale divisions. For this Vernier calipers, the least count is
A hollowpipe of length 0.8 mis closed at one end. At its open end a 0.5 mlong uniform string is vibrating in its second harmonic and it resonates with the fundamental frequencyof the pipe. If the tension in the wire is 50 N and the speed of sound is 320 ms$$^{-1}$$, the massof thestring is
