Step 1: Note on the key. The recalled key marks A (hyperparathyroidism), but that is medically wrong. The combination of low calcium with high phosphate points to hypoparathyroidism. The key has been corrected to option B, and the reasoning follows.
Step 2: Parathyroid hormone raises blood calcium and lowers blood phosphate. It pulls calcium and phosphate out of bone, increases renal calcium reabsorption, and increases renal phosphate excretion (phosphaturic effect).
Step 3: In hypoparathyroidism PTH is deficient. So calcium falls (low calcium) and renal phosphate excretion drops, so phosphate rises (high phosphate). This matches the question exactly.
Step 4: In hyperparathyroidism the opposite occurs: high calcium and low phosphate, so option A is the reverse of what is asked.
Step 5: Thyroid disorders do not classically give this specific low calcium, high phosphate pattern, so options C and D do not fit.
Correct option: B (corrected from the recalled key A).