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

Let A be the point (0, 4) in the xy-plane and let B be the point (2t, 0). Let L be the midpoint of AB and let the perpendicular bisector of AB meet the y-axis M. Let N be the midpoint of LM. Then locus of N is

A
a circle
B
a parabola
C
a straight line
D
a hyperbola
2
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 $$(2,3)$$
3
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
$$(a,b)$$
4
WB JEE 2023
MCQ (Single Correct Answer)
+1
-0.25
Change Language

ABC is an isosceles triangle with an inscribed circle with centre O. Let P be the midpoint of BC. If AB = AC = 15 and BC = 10, then OP equals

A
$${{\sqrt 5 } \over {\sqrt 2 }}$$ unit
B
$${5 \over {\sqrt 2 }}$$ unit
C
$$2\sqrt 5 $$ unit
D
$$5\sqrt 2 $$ unit
EXAM MAP