1
WB JEE 2021
+1
-0.25
A moving line intersects the lines x + y = 0 and x $$-$$ y = 0 at the points A, B respectively such that the area of the triangle with vertices (0, 0), A and B has a constant area C. The locus of the mid-point AB is given by the equation
A
$${({x^2} + {y^2})^2} = {C^2}$$
B
$${({x^2} - {y^2})^2} = {C^2}$$
C
$${(x + y)^2} = {C^2}$$
D
$${(x - y)^2} = {C^2}$$
2
WB JEE 2021
+1
-0.25
A ray of light along $$x + \sqrt 3 y = \sqrt 3$$ gets reflected upon reaching X-axis, the equation of the reflected ray is
A
$$y = x + \sqrt 3$$
B
$$\sqrt 3 y = x - \sqrt 3$$
C
$$y = \sqrt 3 x - \sqrt 3$$
D
$$\sqrt 3 y = x - 1$$
3
WB JEE 2020
+1
-0.25
The equation $$r\,\cos \left( {\theta - {\pi \over 3}} \right) = 2$$ represents
A
a circle
B
a parabola
C
an ellipse
D
a straight line
4
WB JEE 2020
+1
-0.25
Let each of the equations x2 + 2xy + ay2 = 0 and ax2 + 2xy + y2 = 0 represent two straight lines passing through the origin. If they have a common line, then the other two lines are given by
A
$$x - y = 0,\,x - 3y = 0$$
B
$$x + 3y = 0,\,3x + y = 0$$
C
$$3x + y = 0,\,3x - y = 0$$
D
$$(3x - 2y) = 0,\,x + y = 0$$
EXAM MAP
Medical
NEET