JEE Advanced Mathematics question
Let two non-collinear unit vectors and form an acute angle. A point moves so that at any time the position vector (where is the origin) is given by . When is the farthest from origin , let be the length of and be the unit vector along . Then
Answer: (A)
Solution
||^2 = ( a t + b = t + t + 2 t t ( a· b) = 1 + 2t ( a· b).
Since the angle is acute, , so the maximum
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