1
IIT-JEE 2009 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-1

Let $$z = x + iy$$ be a complex number where x and y are integers. Then the area of the rectangle whose vertices are the roots of the equation $$\overline z {z^3} + z{\overline z ^3} = 350$$ is

A
48
B
32
C
40
D
80
2
IIT-JEE 2009 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-2
If $${{{{\sin }^4}x} \over 2} + {{{{\cos }^4}x} \over 3} = {1 \over 5},$$ then
A
$${\tan ^2}x = {2 \over 3}$$
B
$${{{{\sin }^8}x} \over 8} + {{{{\cos }^8}x} \over {27}} = {1 \over {125}}$$
C
$${\tan ^2}x = {1 \over 3}$$
D
$${{{{\sin }^8}x} \over 8} + {{{{\cos }^8}x} \over {27}} = {2 \over {125}}$$
3
IIT-JEE 2009 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-1
The number of seven digit integers, with sum of the digits equal to 10 and formed by using the digits 1, 2 and 3 only, is
A
55
B
66
C
77
D
88
4
IIT-JEE 2009 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-1
Tangents drawn from the point P (1, 8) to the circle
$${x^2}\, + \,{y^2}\, - \,6x\, - 4y\, - 11 = 0$$
touch the circle at the points A and B. The equation of the cirumcircle of the triangle PAB is
A
$${x^2}\, + \,{y^2}\, + \,4x\,\, - 6y\, + 19 = 0$$
B
$${x^2}\, + \,{y^2}\, - \,4x\,\, - 10y\, + 19 = 0$$
C
$${x^2}\, + \,{y^2}\, - \,2x\,\, + 6y\, - 29 = 0$$
D
$${x^2}\, + \,{y^2}\, - \,6x\,\, - 4y\, + 19 = 0$$
JEE Advanced Papers
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12