1
WB JEE 2023
MCQ (Single Correct Answer)
+1
-0.25
Change Language

If $$4{a^2} + 9{b^2} - {c^2} + 12ab = 0$$, then the family of straight lines $$ax + by + c = 0$$ is concurrent at

A
$$(2,3)$$ or $$( - 2, - 3)$$
B
$$( - 2,3)$$ or $$(2,3)$$
C
$$(3,2)$$ or $$( - 3,2)$$
D
$$( - 3,2)$$ or $$(2,3)$$
2
WB JEE 2023
MCQ (Single Correct Answer)
+1
-0.25
Change Language

The straight lines $$x + 2y - 9 = 0,3x + 5y - 5 = 0$$ and $$ax + by - 1 = 0$$ are concurrent if the straight line $$35x - 22y + 1 = 0$$ passes through the point

A
$$( - a, - b)$$
B
$$(a, - b)$$
C
$$( - a,b)$$
D
$$(a,b)$$
3
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)
4
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
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