Test SeriesFree PYQsExamsPricing

JEE Advanced Mathematics question

MathematicsVector AlgebraJEE Advanced

If are the th, th, th terms of an HP and

Missing argument for \vec\vec u = (q - r)Missing argument for \hat\hat i + (r - p)Missing argument for \hat\hat j + (p - q)Missing argument for \hat\hat k, Missing argument for \vec\vec v = + +

then

Answer: (B)

Solution

Since are terms of an HP, are terms of an AP with first term and common difference :

Missing argument for \frac\frac1a = x + (p-1)y, Missing argument for \frac\frac1b = x + (q-1)y, Missing argument for \frac\frac1c = x + (r-1)y.

Then

Missing argument for \vec\vec u·Missing argument for \vec\vec v = (x - y) + yMissing or unrecognized delimiter for \big\big[p(q-r) + q(r-p) +

See the full step-by-step solution

Create a free account to read the complete working (5 steps), and practise questions like this in a timed test.

Create a free account

Question ID VK-109629