1
WB JEE 2009
+1
-0.25

A line through the point A(2, 0) which makes an angle of 30$$^\circ$$ with the positive direction of x-axis is rotated about A in clockwise direction through an angle 15$$^\circ$$. Then the equation of the straight line in the new position is

A
$$(2 - \sqrt 3 )x + y - 4 + 2\sqrt 3 = 0$$
B
$$(2 - \sqrt 3 )x - y - 4 + 2\sqrt 3 = 0$$
C
$$(2 - \sqrt 3 )x - y + 4 + 2\sqrt 3 = 0$$
D
$$(2 - \sqrt 3 )x + y + 4 + 2\sqrt 3 = 0$$
2
WB JEE 2009
+1
-0.25

If C is the reflection of A(2, 4) in x-axis and B is the reflection of C in y-axis, then $$|AB|$$ is

A
20
B
2$$\sqrt5$$
C
4$$\sqrt5$$
D
4
3
WB JEE 2009
+1
-0.25

The number of points on the line x + y = 4 which are unit distance apart from the line 2x + 2y = 5 is

A
0
B
1
C
2
D
infinity
4
WB JEE 2009
+1
-0.25

The point ($$-$$4, 5) is the vertex of a square and one of its diagonals is 7x $$-$$ y + 8 = 0. The equation of the other diagonal is

A
7x $$-$$ y + 23 = 0
B
7y + x = 30
C
7y + x = 31
D
x $$-$$ 7y = 30
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