2017 · Q69
If a point O in the interior of a rectangle ABCD is joined with each of the vertices A, B, C and D, then OB² + OD² will be equal to
Elementary MathematicsQuadrilaterals and Polygons
- A2OC² + OA²
- BOC² - OA²
- COC² + OA²
- DOC² + 2OA²
Explanation
By the British Flag theorem for a rectangle, OA²+OC² = OB²+OD² for any interior point O. Thus OB²+OD² = OC²+OA². Hence option (C) OC²+OA².