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Paragraph: While finding the sine of a contain angle x , an absent minded professor failed to notice that his calculator was not in the correct angular mode. However he was lucky to get right answer. The two least positive value of x for which the sine of x degree is the same as the sine of x radian found by him as m n- and p q+ , where m, n, p and q are positive integers. Suppose m n p q be denoted by quantity ' L '

Options

  1. A4
  2. B2
  3. C1/2
  4. D1/4

Correct answer

A. 4

Step-by-step solution

_ x (A-C^2 ) x^2+B x x ( A+ B x +C ) =2 For existence of limit A=C^2 Hence, C= A , B A +C =2 B C =4 For C=- A limit does not exist

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