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IIT-JEE 2008

Exam Held on Fri Apr 11 2008 09:00:00 GMT+0000 (Coordinated Universal Time)
Click View All Questions to see questions one by one or you can choose a single question from below.

Chemistry

Match the entries with column I with with the correctly related quantum number(...
<b>STATEMENT - 1 :</b> The plot of atomic number (y-axis) versus number of neutr...

Mathematics

A particle P stats from the point $${z_0}$$ = 1 +2i, where $$i = \sqrt { - 1} $$...
Let A, B, C be three sets of complex numbers as defined below <p> $$A = \left\{...
Let A, B, C be three sets of complex numbers as defined below <br> $$A = \left\...
Let A, B, C be three sets of complex numbers as defined below <br> $$A = \left\...
Let $$a,\,b,c$$, $$p,q$$ be real numbers. Suppose $$\alpha ,\,\beta $$ are the r...
Consider all possible permutations of the letters of the word ENDEANOEL. Match t...
A straight line through the vertex p of a triangle PQR intersects the side QR at...
Let $${S_n} = \sum\limits_{k = 1}^n {{n \over {{n^2} + kn + {k^2}}}} $$ and $${T...
Suppose four distinct positive numbers $${a_1},\,{a_{2\,}},\,{a_3},\,{a_4}\,$$ a...
A circle C of radius 1 is inscribed in an equilateral triangle PQR. The points o...
A circle C of radius 1 is inscribed in an equilateral triangle PQR. The points o...
A circle C of radius 1 is inscribed in an equilateral triangle PQR. The points o...
Consider $$\,{L_1}:\,\,2x\,\, + \,\,3y\, + \,p\,\, - \,\,3 = 0$$ <br> $$\,{L_2}...
Let $$a$$ and $$b$$ be non-zero real numbers. Then, the equation $${x^2}{\cos ^2...
Consider a branch of the hyperbola $$${x^2} - 2{y^2} - 2\sqrt 2 x - 4\sqrt 2 y...
Let $$P\left( {{x_1},{y_1}} \right)$$ and $$Q\left( {{x_2},{y_2}} \right),{y_1} ...
Let $$g\left( x \right) = \log f\left( x \right)$$ where $$f(x)$$ is twice diffe...
Let $$f$$ and $$g$$ be real valued functions defined on interval $$(-1, 1)$$ suc...
If $$0 &lt; x &lt; 1$$, then <br>$$\sqrt {1 + {x^2}} {\left[ {{{\left\{ {x\cos ...
Consider the two curves $${C_1}:{y^2} = 4x,\,{C_2}:{x^2} + {y^2} - 6x + 1 = 0$$....
The total number of local maxima and local minimum of the <br>function $$f\left...
Let the function $$g:\left( { - \infty ,\infty } \right) \to \left( { - {\pi \o...
Let $$I = \int {{{{e^x}} \over {{e^{4x}} + {e^{2x}} + 1}}dx,\,\,J = \int {{{{e^{...
The area of the region between the curves $$y = \sqrt {{{1 + \sin x} \over {\cos...
Let $$f(x)$$ be a non-constant twice differentiable function defined on $$\left(...
Consider the functions defined implicitly by the equation <br>$${y^3} - 3y + x...
Consider the functions defined implicitly by the equation <br>$${y^3} - 3y + x...
Consider the functions defined implicitly by the equation <br>$${y^3} - 3y + x...
Consider the function $$f:\left( { - \infty ,\infty } \right) \to \left( { - \in...
Consider the function $$f:\left( { - \infty ,\infty } \right) \to \left( { - \in...
Consider the function $$f:\left( { - \infty ,\infty } \right) \to \left( { - \in...
Let a solution $$y=y(x)$$ of the differential equation $$x\sqrt {{x^2} - 1} \,\,...
An experiment has $$10$$ equally likely outcomes. Let $$A$$ and $$B$$ be non-emp...
Consider the system of equations $$ax+by=0; cx+dy=0,$$ <br>where $$a,b,c,d$$ $$...
The edges of a parallelopiped are of unit length and are parallel to non-coplana...
Let two non-collinear unit vectors $$\widehat a$$ and $$\widehat b$$ form an acu...
Consider the lines <br>$${L_1}:{{x + 1} \over 3} = {{y + 2} \over 1} = {{z + 1}...
Consider the lines <br>$${L_1}:{{x + 1} \over 3} = {{y + 2} \over 1} = {{z + 1}...
Consider the lines <br> $${L_1}:{{x + 1} \over 3} = {{y + 2} \over 1} = {{z + 1...
Consider three planes $$${P_1}:x - y + z = 1$$$ $$${P_2}:x + y - z = 1$$$ $$${P...

Physics

<p>Student I, II and III perform an experiment for measuring the acceleration du...
<b>STATEMENT-1:</b> For an observer looking out through the window of a fast mov...

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