1
WB JEE 2018
MCQ (Single Correct Answer)
+2
-0.5
Change Language
Let $$\rho $$ be a relation defined on N, the set of natural numbers, as

$$\rho $$ = {(x, y) $$ \in $$ N $$ \times $$ N : 2x + y = 41}. Then
A
$$\rho $$ is an equivalence relzation.
B
$$\rho $$ is only reflexive relation
C
$$\rho $$ is only symmetric relation
D
$$\rho $$ is not transitive
2
WB JEE 2018
MCQ (Single Correct Answer)
+2
-0.5
Change Language
If the polynomial $$f(x) = \left| {\matrix{ {{{(1 + x)}^a}} & {{{(2 + x)}^b}} & 1 \cr 1 & {{{(1 + x)}^a}} & {{{(2 + x)}^b}} \cr {{{(2 + x)}^b}} & 1 & {{{(1 + x)}^a}} \cr } } \right|$$, then the constant term of f(x) is
A
$$2 - {3.2^b} + {2^{3b}}$$
B
$$2 + {3.2^b} + {2^{3b}}$$
C
$$2 + {3.2^b} - {2^{3b}}$$
D
$$2 - {3.2^b} - {2^{3b}}$$
3
WB JEE 2018
MCQ (Single Correct Answer)
+2
-0.5
Change Language
A line cuts the X-axis at A(5, 0) and the Y-axis at B(0, $$-$$3). A variable line PQ is drawn perpendicular to AB cutting the X-axis at P and the Y-axis at Q. If AQ and BP meet at R, then the locus of R is
A
$${x^2} + {y^2} - 5x + 3y = 0$$
B
$${x^2} + {y^2} + 5x + 3y = 0$$
C
$${x^2} + {y^2} + 5x - 3y = 0$$
D
$${x^2} + {y^2} - 5x - 3y = 0$$
4
WB JEE 2018
MCQ (Single Correct Answer)
+2
-0.5
Change Language
Let A be the centre of the circle $${x^2} + {y^2} - 2x - 4y - 20 = 0$$. Let B(1, 7) and D(4, $$-$$2) be two points on the circle such that tangents at B and D meet at C. The area of the quadrilateral ABCD is
A
150 sq units
B
50 sq units
C
75 sq units
D
70 sq units
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