1
WB JEE 2010
MCQ (Single Correct Answer)
+1
-0.25

The equations of the lines through (1, 1) and making angles of 45$$^\circ$$ with the line x + y = 0 are

A
x $$-$$ 1 = 0, x $$-$$ y = 0
B
x $$-$$ y = 0, y $$-$$ 1 = 0
C
x + y $$-$$ 2 = 0, y $$-$$ 1 = 0
D
x $$-$$ 1 = 0, y $$-$$ 1 = 0
2
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

The coordinates of the two points lying on x + y = 4 and at a unit distance from the straight line 4x + 3y = 10 are

A
($$-$$3, 1), (7, 11)
B
(3, 1), ($$-$$7, 11)
C
(3, 1), (7, 11)
D
(5, 3), ($$-$$1, 2)
3
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

If the three points A(1, 6), B(3, $$-$$4) and C(x, y) are collinear then the equation satisfying by x and y is

A
5x + y $$-$$ 11 = 0
B
5x + 13y + 5 = 0
C
5x $$-$$ 13y + 5 = 0
D
13x $$-$$ 5y + 5 = 0
4
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

The equation of the locus of the point of intersection of the straight lines $$x\sin \theta + (1 - \cos \theta )y = a\sin \theta$$ and $$x\sin \theta - (1 + \cos \theta )y + a\sin \theta = 0$$ is

A
y = $$\pm$$ ax
B
x = $$\pm$$ ay
C
y2 = 4ax
D
x2 + y2 = a2
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