IIT-JEE Exam

Let the vectors PQ, QR, RS, ST, TU
and UP
represent the sides of a regular hexagon.
STATEMENT -1 : PQ×(RS+ ST) ≠ 0

.
because
STATEMENT -2 : PQ×RS = 0
􀁊􀁊􀁊􀁇 􀁊􀁊􀁊􀁇 􀁇
and PQ×ST ≠ 0
􀁊􀁊􀁊􀁇 􀁊􀁊􀁇 􀁇
.
(A) Statement -1 is True, Statement -2 is True; Statement-2 is a correct explanation for Statement-1
(B) Statement -1 is True, Statement -2 is True; Statement-2 is NOT a correct explanation for Statement-1
(C) Statement -1 is True, Statement -2 is False
(D) Statement -1 is False, Statement -2 is True

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IIT-JEE Other Question
One Indian and four American men and their wives are to be seated randomly around a circular table. Then the
conditional probability that the Indian man is seated adjacent to his wife given that each American man is seated
adjacent to his wife is
(A) 1/2 (B) 1/3
(C) 2/5 (D) 1/5 Tangents are drawn from the point (17, 7) to the circle x^2 + y^2 = 169.
STATEMENT -1 : The tangents are mutually perpendicular.
because
STATEMENT -2 : The locus of the points from which mutually perpendicular tangents can be drawn to the given
circle is x^2 + y^2 = 338
(A) Statement -1 is True, Statement -2 is true; Statement-2 is a correct explanation for Statement-1
(B) Statement -1 is True, Statement -2 is true; Statement-2 is NOT a correct explanation for Statement-1
(C) Statement -1 is True, Statement -2 is False
(D) Statement -1 is False, Statement -2 is True