1
WB JEE 2017
MCQ (Single Correct Answer)
+2
-0.5
Change Language
Let a, b, c be such that b(a + c) $$ \ne $$ 0. If $$\left| {\matrix{ a & {a + 1} & {a - 1} \cr { - b} & {b + 1} & {b - 1} \cr c & {c - 1} & {c + 1} \cr } } \right| + \left| {\matrix{ {a + 1} & {b + 1} & {c - 1} \cr {a - 1} & {b - 1} & {c + 1} \cr {{{( - 1)}^{n + 2}}a} & {{{( - 1)}^{n + 1}}b} & {{{( - 1)}^n}c} \cr } } \right| = 0$$, then the value of n is
A
any integer
B
zero
C
any even integer
D
any odd integer
2
WB JEE 2017
MCQ (Single Correct Answer)
+2
-0.5
Change Language
On set A = {1, 2, 3}, relations R and S are given by

R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 1)},

S = {(1, 1), (2, 2), (3, 3), (1, 3), (3, 1)}. Then,
A
R $$ \cup $$ S is an equivalence relation
B
R $$ \cup $$ S is reflexive and transitive but not symmetric
C
R $$ \cup $$ S is reflexive and symmetric but not transitive
D
R $$ \cup $$ S is symmetric and transitive but not reflexive
3
WB JEE 2017
MCQ (Single Correct Answer)
+2
-0.5
Change Language
If one of the diameters of the curve x2 + y2 $$-$$ 4x $$-$$ 6y + 9 = 0 is a chord of a circle with centre (1, 1), the radius of this circle is
A
3
B
2
C
$$\sqrt 2 $$
D
1
4
WB JEE 2017
MCQ (Single Correct Answer)
+2
-0.5
Change Language
Let A($$-$$ 1, 0) and B(2, 0) be two points. A point M moves in the plane in such a way that $$\angle MBA$$ = 2$$\angle MAB$$. Then, the point M moves along
A
a straight line
B
a parabola
C
an ellipse
D
a hyperbola
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