Consider the following statements Statement I If the line segment joining the points P m n and Q r s...........

Mathematics (NDA) Coordinate Geometry

Consider the following statements:

Statement I: If the line segment joining the points P(m, n) and Q(r, s) subtends an angle $\alpha$ at the origin, then

$cos \alpha=\frac{ms-nr}{\sqrt{(m^{2}+n^{2})(r^{2}+s^{2})}}$

Statements II: In any triangle ABC, it is true that a² = b² + c² – 2bc cos A.

What of the following is correct in respect of the above two statements?

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

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

Statement I is true, but Statement II is false

Statement I is false, but Statement II is true

$cos \alpha=\frac{ms-nr}{\sqrt{(m^{2}+n^{2})(r^{2}+s^{2})}}$
statement 1 is false and statement 2 is true.

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