Straight Lines
General
Grade 11
Question:
The diagonals of a parallelogram PQRS are along the lines <span class="math-inline">x + 3y = 4</span> and <span class="math-inline">6x - 2y = 7</span>. Then PQRS must be a :
<span class="math-inline">rectangle</span>
<span class="math-inline">square</span>
<span class="math-inline">cyclic quadrilateral</span>
<span class="math-inline">rhombus</span>
Step-by-Step Solution
Key Concept: General
Its equation is (x - 3)² + (y - 2)² = r² = 27
Correct Answer: (3, 2)