Let a and b be positive real numbers. Suppose PQ = a i + b j and PS = a i - b j are adjacent sides of a...

Question

Let a and b be positive real numbers. Suppose PQ = a i + b j and PS = a i - b j are adjacent sides of a parallelogram PQRS. Let u and v be the projection vectors of w = i + j along PQ and PS , respectively. If | u | + | v | = | w | and if the area of the parallelogram PQRS is 8, then which of the following statements is/are TRUE?

Accepted Answer

(A),(C)

JEE Advanced 2020 Mathematics question

Solution

See the full step-by-step solution