1
IIT-JEE 2009 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-2
In a triangle $$ABC$$ with fixed base $$BC$$, the vertex $$A$$ moves such that
$$$\cos \,B + \cos \,C = 4{\sin ^2}{A \over 2}.$$$
If $$a, b$$ and $$c$$ denote the lengths of the sides of the triangle opposite to the angles $$A, B$$ and $$C$$, respectively, then
2
IIT-JEE 2009 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-0
Match the conics in Column I with the statements/expressions in Column II :
Column I | Column II | ||
---|---|---|---|
(A) | Circle | (P) | The locus of the point ($$h,k$$) for which the line $$hx+ky=1$$ touches the circle $$x^2+y^2=4$$. |
(B) | Parabola | (Q) | Points z in the complex plane satisfying $$|z+2|-|z-2|=\pm3$$. |
(C) | Ellipse | (R) | Points of the conic have parametric representation $$x = \sqrt 3 \left( {{{1 - {t^2}} \over {1 + {t^2}}}} \right),y = {{2t} \over {1 + {t^2}}}$$ |
(D) | Hyperbola | (S) | The eccentricity of the conic lies in the interval $$1 \le x \le \infty $$. |
(T) | Points z in the complex plane satisfying $${\mathop{\rm Re}\nolimits} {(z + 1)^2} = |z{|^2} + 1$$. |
3
IIT-JEE 2009 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-1
Let $$f$$ be a non-negative function defined on the interval $$[0,1]$$.
If $$\int\limits_0^x {\sqrt {1 - {{(f'(t))}^2}dt} = \int\limits_0^x {f(t)dt,0 \le x \le 1} } $$, and $$f(0) = 0$$, then
4
IIT-JEE 2009 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-2
Area of the region bounded by the curve $$y = {e^x}$$ and lines $$x=0$$ and $$y=e$$ is
Paper analysis
Total Questions
Chemistry
20
Mathematics
20
Physics
20
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