AP EAMCET · Maths · Straight Lines
A straight line meets the \(X\) and \(Y\) axes at the points \(A, B\) respectively. If \(A B=6\) units, then the locus of the point \(P\) which divides the line segment \(A B\) such that \(A P: P B=2: 1\), is
- A \(3 x^2+y^2=36\)
- B \(4 x^2+y^2=36\)
- C \(3 x^2+y^2=16\)
- D \(4 x^2+y^2=16\)
Answer & Solution
Correct Answer
(D) \(4 x^2+y^2=16\)
Step-by-step Solution
Detailed explanation
Let \(A(a, 0)\) and \(B(0, b)\) and point \(P(h, k)\) divides the line \(A B\). Now,…
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