InterviewSolution
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InterviewSolution
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Consider the following with regard to a relation R on a set of real numbers defined by xRy if and only if 3x+4y=5 I. 0 R 1 II. `1 R(1)/(2)` III. `(2)/(3)R(3)/(4)` Which of the above are correct?A. I and IIB. I and IIIC. II and III onlyD. I, II and III |
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Answer» Correct Answer - C Let on the set of real numbers, R is a relation defined by xRy if and only if 3x+4y=5 (I) Put x=0 and y=1, we get LHS=3(0)+4(1)=`4ne5` (=RHS) Hence 0 is not related to 1. (II) Now, Put x=1 and `y=(1)/(2)`, we get `LHS=3(1)+4xx(1)/(2)=5=5(=RHS)` Hence 1 is related to `(1)/(2)`. (III) Similarly, `(2)/(3)` is related to `(3)/(4)`. Hence, both statements II and III are correct. |
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