1
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Change Language
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
$$(3x - 2y) = 0,\,x + y = 0$$
2
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Change Language
A straight line through the origin O meets the parallel lines 4x + 2y = 9 and 2x + y + 6 = 0 at P and Q respectively. The point O divides the segment PQ in the ratio
A
1 : 2
B
3 : 4
C
2 : 1
D
4 : 3
3
WB JEE 2020
MCQ (Single Correct Answer)
+2
-0.5
Change Language
A line cuts the X-axis at A(7, 0) and the Y-axis at B(0, $$ - $$5). A variable line PQ is drawn perpendicular to AB cutting the X-axis at P(a, 0) and the Y-axis at Q(0, b). If AQ and BP intersect at R, the locus of R is
A
$${x^2} + {y^2} + 7x + 5y = 0$$
B
$${x^2} + {y^2} + 7x - 5y = 0$$
C
$${x^2} + {y^2} - 7x + 5y = 0$$
D
$${x^2} + {y^2} - 7x - 5y = 0$$
4
WB JEE 2019
MCQ (Single Correct Answer)
+1
-0.25
Change Language
A variable line passes through a fixed point $$({x_1},{y_1})$$ and meets the axes at A and B. If the rectangle OAPB be completed, the locus of P is, (O being the origin of the system of axes).
A
$${(y - {y_1})^2} = 4(x - {x_1})$$
B
$${{{x_1}} \over x} + {{{y_1}} \over y} = 1$$
C
$${x^2} + {y^2} = x_1^2 + y_{\kern 1pt} ^2$$
D
$${{{x^2}} \over {2x_1^2}} + {{{y^2}} \over {y_1^2}} = 1$$
WB JEE Subjects
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12