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  1. Home
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Miscellaneous·2018·Easy

Consider the following statements : Statement I : If the line segment joining the points P (m, n) and Q (r, s) subtends an angle α at the origin, then cos α = (mr + ns – nr)/(√(m² + n²)(r² + s²)) Statement II : In any triangle ABC, it is true that a² = b² + c² – 2bc cos A. Which one of the following is correct in respect of the above two statements ?

Consider the following statements :
Statement I : If the line segment joining the points P (m, n) and Q (r, s) subtends an angle α at the origin, then
cos α = (mr + ns – nr)/(√(m² + n²)(r² + s²))
Statement II : In any triangle ABC, it is true that a² = b² + c² – 2bc cos A.
Which one of the following is correct in respect of the above two statements ?

Options

  1. a.

    Both Statement I and Statement II are true and Statement II is the correct explanation of Statement I

  2. b.

    Both Statement I and Statement II are true, but Statement II is not the correct explanation of Statement I

  3. c.

    Statement I is true, but Statement II is false

  4. d.

    Statement I is false, but Statement II is true

    Correct answer

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