WBJEE · Maths · Ellipse
A line of fixed length \(a + b, a \neq b\) moves so that its ends are always on two fixed perpendicular straight lines. The
locus of a point which divides the line into two parts of legnth a and b is
- A a parabola
- B a circle
- C an ellipse
- D a hyperbola
Answer & Solution
Correct Answer
(C) an ellipse
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \mathrm{m}^2+\mathrm{n}^2=(a+b)^2 \\ & A P=a ; P B=b \\ & \Rightarrow \frac{h^2}{a^2}+\frac{k^2}{b^2}=1\end{aligned}\)
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