JEE Main & Advanced Sample Paper JEE Main Sample Paper-12

  • question_answer
    Choose the correct order of True (T) and False (F) for the following statements
    (i) p: Each radius of a circle is a chord of the circle.
    (ii) q: The centre of a circle bisects each chord of the circle
    (iii) r: Circle is a particular case of an ellipse.
    (iv) s: If x and y are integers such that x > y, then \[-x<-y\].
    (v) \[t:\sqrt{11}\] a rational number.

    A)  FFTTF                  

    B)  FFTFF

    C)  TTFFT                  

    D)  TFTFF

    Correct Answer: A

    Solution :

    (i) False. By definition of the chord, it should intersect the circle in two points.
    (ii) False. This can be shown by giving a counter example. A chord which is not a diameter gives the counter example.
    (iii) True. In the equation of an ellipse if we put a = b, then it becomes a circle.
    (iv) True, by the rule of inequality
    (V) False. Since 11 is a prime number, therefore \[\sqrt{11}\] is Irrational


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