Question
Download Solution PDFConsider the points P(4k, 4k) and Q(4k, -4k) lying on the parabola y2 = 4kx. If the vertex is A, then what is ∠PAQ equal to?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Let ∠ PAM = α and ∠ APM =β
From figure, it is clear that
∠PAQ = ∠PAM + ∠QAM
⇒ ∠PAQ = α + α = 2α
In right-angled triangle AMP
⇒AM = PM = 4k
⇒ α = β
Thus, α + β + 90° = 180°
⇒ 2α = 90°
⇒ α = 45°
Hence, ∠ PAQ = 2a = 90°
∴ Option (b) is correct
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