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## IIT-JEE 2009

Exam Held on Sat Apr 11 2009 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

The compound(s) formed upon combustion of sodium metal in excess air is (are)

## Mathematics

Let z = x + iy be a complex number where x and y are integers. Then the area of ...
Let $$z = \,\cos \,\theta \, + i\,\sin \,\theta$$ . Then the value of $$\sum\li... For$$0 &lt; \theta &lt; {\pi \over 2},$$the solution (s) of$$$\sum\limits_... If $${{{{\sin }^4}x} \over 2} + {{{{\cos }^4}x} \over 3} = {1 \over 5},$$ then The smallest value of $$k$$, for which both the roots of the equation $${x^2} ... Let$$\left( {x,\,y,\,z} \right)$$be points with integer coordinates satisfying... the number of seven digit integers, with sum of the digits equal to 10 and forme... In the sum of first$$n$$terms of an A.P. is$$c{n^\angle }$$, then the sum of ... Tangents drawn from the point P (1, 8) to the circle <br>$${x^2}\, + \,{y^2}\,... The centres of two circles $${C_1}$$ and $${C_2}$$ each of unit radius are at a ... The line passing through the extremity $$A$$ of the major axis and extremity $$B... The normal at a point$$P$$on the ellipse$${x^2} + 4{y^2} = 16$$meets the$$x... The locus of the orthocentre of the triangle formed by the lines $$\left( {1 +... In a triangle$$ABC$$with fixed base$$BC$$, the vertex$$A$$moves such that ... The tangent$$PT$$and the normal$$PN$$to the parabola$${y^2} = 4ax$$at a po... An ellipse intersects the hyperbola$$2{x^2} - 2{y^2} = 1$$orthogonally. The ec... Match the conics in <b>Column$$I$$</b> with the statements/expressions in <b>C... If the function$$f\left( x \right) = {x^3} + {e^{{x \over 2}}}$$and$$g\left( ... Let $$ABC$$ and $$ABC'$$ be two non-congruent triangles with sides $$AB=4$$, $$A... For the function$$$f\left( x \right) = x\cos \,{1 \over x},x \ge 1,$$Let$$p(x)$$be a polynomial of degree$$4$$having extremum at <br>$$x = 1,2$$... The maximum value of the function <br>$$f\left( x \right) = 2{x^3} - 15{x^2} + 3...
The maximum value of the function <br>$$f\left( x \right) = 2{x^3} - 15{x^2} + 3... let$$f$$be a non-negative function defined on the interval <br>$$\left[ {0,1} ...
Area of the region bounded by the curve $$y = {e^x}$$ and lines $$x=0$$ and $$y=... If$${I_n} = \int\limits_{ - \pi }^\pi {{{\sin nx} \over {\left( {1 + {\pi ^x}}...
Match the statements/expressions in <b>Column $$I$$</b> with the open intervals ...
Let $$f:R \to R$$ be a continuous function which satisfies $$f\left( x \right)... A fair die is tossed repeatedly until a six is obtained. Let$$X$$denote the nu... A fair die is tossed repeatedly until a six is obtained. Let$$X$$denote the nu... A fair die is tossed repeatedly until a six is obtained. Let$$X$$denote the nu... If$$\overrightarrow a \,,\,\overrightarrow b ,\overrightarrow c $$and$$\overr...
Let $$P(3,2,6)$$ be a point in space and $$Q$$ be a point on the line $$\wideh... A line with positive direction cosines passes through the point$$P(2, -1, 2)$$... Match the statements / expressions given in <b>Column-$$I$$</b> with the values ... Match the statements/expressions given in <b>Column-$$I</b> with the values gi...

## Physics

A block of base 10 cm × 10 cm and height 15 cm is kept on an inclined plane. The...
A piece of wire is bent in the shape of a parabola y = kx<sup>2</sup> (y-axis ve...

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