1
WB JEE 2008
+1
-0.25

The co-ordinates of the foot of perpendicular from (a, 0) on the line $$y = mx + {a \over m}$$ are

A
$$\left( {0,{a \over m}} \right)$$
B
$$\left( {0, - {a \over m}} \right)$$
C
$$\left( {{a \over m},0} \right)$$
D
$$\left( { - {a \over m},0} \right)$$
2
WB JEE 2009
+1
-0.25

If C is a point on the line segment joining A($$-$$3, 4) and B(2, 1) such that AC = 2BC, then the coordinate of C is

A
$$\left( {{1 \over 3},2} \right)$$
B
$$\left( {2,{1 \over 3}} \right)$$
C
(2, 7)
D
(7, 2)
3
WB JEE 2009
+1
-0.25

The coordinates of the foot of the perpendicular from (0, 0) upon the line x + y = 2 are

A
(2, $$-$$1)
B
($$-$$2, 1)
C
(1, 1)
D
(1, 2)
4
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
$$(2 - \sqrt 3 )x + y + 4 + 2\sqrt 3 = 0$$
WB JEE Subjects
Physics
Mechanics
Electricity
Optics
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Algebra
Trigonometry
Coordinate Geometry
Calculus
EXAM MAP
Joint Entrance Examination