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= {{ms}-{nr}}/\sqrt{({m}^{2}+{n}^{2})({r}^{2}+{s}^{2})}}. Statements II: In any triangle ABC, it is true that a^{2}=b^{2}+c^{2}-2bc\cosA. What of the following is correct in respect of the above two statements? [NDA II 2018]

Correct Answer is : Statement I is false, but Statement II is true

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

NDA Math Properties of Triangles

Question : 8 of 16

Marks: +1, -0

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 cos‌α=‌‌

ms−nr

√(m2+n2)(r2+s2)

.
Statements II: In any triangle ABC, it is true that a2=b2+c2−2bc‌cosA.
What of the following is correct in respect of the above two statements?

[NDA II 2018]

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

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