Let \overline{a}, \overline{b}, \overline{c} be three unit vectors satisfying |\overline{a}-\overline{b}|^2+|\overline{a}-\overline{c}|^2=10. Then Statement (I) : |\overline{a}+2 \overline{b}|^2+|2 \overline{a}+\overline{c}|^2=2. Statement (II) : |2 \overline{a}+3 \overline{b}|^2+|3 \overline{a}+2 \overline{c}|^2=10. Which of the above statements is(are) true?

Correct Answer is : Both Statement I and Statement II are false

Statement I is true, but Statement II is false

Statement II is true but Statement I is false

Both Statement I and Statement II are true

Both Statement I and Statement II are false

TS EAMCET 20-July-2022 Shift 1 Solved Paper

Section: Mathematics

Question : 32 of 160

Marks: +1, -0

Let a,b,c be three unit vectors satisfying |a−b|2+|a−c|2=10. Then Statement (I) : |a+2b|2+|2a+c|2=2.
Statement (II) : |2a+3b|2+|3a+2c|2=10.
Which of the above statements is(are) true?

Statement I is true, but Statement II is false
Statement II is true but Statement I is false
Both Statement I and Statement II are true
Both Statement I and Statement II are false

Validate

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