JEE (Advanced) 2010 Paper-2

Instructions

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 $$t = \mid s \mid$$.

JEE (Advanced) 2010 Paper-2 - Question 31


The real numbers lies in the interval

Video Solution

JEE (Advanced) 2010 Paper-2 - Question 32


The area bounded bythe curve y= f(x) and the lines x = 0, y = O and x = t, lies in the interval

Video Solution

JEE (Advanced) 2010 Paper-2 - Question 33


The function $$f'(x)$$ is

Video Solution
Instructions

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.

JEE (Advanced) 2010 Paper-2 - Question 34


The coordinates of A and B are

Video Solution

JEE (Advanced) 2010 Paper-2 - Question 35


The orthocenter of the triangle PAB is

Video Solution

JEE (Advanced) 2010 Paper-2 - Question 36


The equation of the locus of the point whose distances from the point P and the line AB are equal, is

Video Solution
Instructions

For the following questions answer them individually

JEE (Advanced) 2010 Paper-2 - Question 37


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.]

Backspace
789
456
123
0.-
Clear All
Video Solution

JEE (Advanced) 2010 Paper-2 - Question 38


Match the statements in Column-I with the values in Column-II.

Backspace
789
456
123
0.-
Clear All
Video Solution

JEE (Advanced) 2010 Paper-2 - Question 39


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

Video Solution

JEE (Advanced) 2010 Paper-2 - Question 40


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

Video Solution
cracku

Boost your Prep!

Download App