AP EAMCET · Maths · Straight Lines
A line moves such that the portion of it intercepted between the coordinate axes is of constant length \(a\), then the locus of the mid point of that line segment is
- A \(\frac{x^2}{4}+\frac{y^2}{4}=a^2\)
- B \(x^2+y^2=a^2\)
- C \(x^2+y^2=\frac{a^2}{4}\)
- D \(x^2+y^2=\frac{a^2}{2}\)
Answer & Solution
Correct Answer
(C) \(x^2+y^2=\frac{a^2}{4}\)
Step-by-step Solution
Detailed explanation
Let \(A=(p, 0)\) \(B=(0, q)\) Let \( P=(h, k)\) be the mid-point of \(\overline{A B}\).…
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