1
WB JEE 2022
MCQ (Single Correct Answer)
+1
-0.25
Change Language

If the algebraic sum of the distances from the points (2, 0), (0, 2) and (1, 1) to a variable straight line be zero, then the line passes through the fixed point

A
($$-$$1, 1)
B
(1, $$-$$1)
C
($$-$$1, $$-$$1)
D
(1, 1)
2
WB JEE 2022
MCQ (Single Correct Answer)
+1
-0.25
Change Language

The side AB of $$\Delta$$ABC is fixed and is of length 2a unit. The vertex moves in the plane such that the vertical angle is always constant and is $$\alpha$$. Let x-axis be along AB and the origin be at A. Then the locus of the vertex is

A
$${x^2} + {y^2} + 2ax\sin \alpha + {a^2}\cos \alpha = 0$$
B
$${x^2} + {y^2} - 2ax - 2ay\cot \alpha = 0$$
C
$${x^2} + {y^2} - 2ax\cos \alpha - {a^2} = 0$$
D
$${x^2} + {y^2} - ax\sin \alpha - ay\cos \alpha = 0$$
3
WB JEE 2022
MCQ (Single Correct Answer)
+1
-0.25
Change Language

If the sum of the distances of a point from two perpendicular lines in a plane is 1 unit, then its locus is

A
a square
B
a circle
C
a straight line
D
two intersecting lines
4
WB JEE 2022
MCQ (Single Correct Answer)
+1
-0.25
Change Language

A line passes through the point $$( - 1,1)$$ and makes an angle $${\sin ^{ - 1}}\left( {{3 \over 5}} \right)$$ in the positive direction of x-axis. If this line meets the curve $${x^2} = 4y - 9$$ at A and B, then |AB| is equal to

A
$${4 \over 5}$$ unit
B
$${5 \over 4}$$ unit
C
$${3 \over 5}$$ unit
D
$${5 \over 3}$$ unit
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