AP EAMCET · Maths · Straight Lines
The locus of a variable point which forms a triangle of fixed area with two fixed points is
- A a circle
- B a circle with fixed points as ends of a diameter
- C a pair of non parallel lines
- D a pair of parallel lines
Answer & Solution
Correct Answer
(D) a pair of parallel lines
Step-by-step Solution
Detailed explanation
Let \(C\) be the variable point and \(A ; B\) be two fixed points. Area of \(\triangle \mathrm{ABC}=\frac{1}{2} \times \mathrm{AB} \times\) Height As \(A B\) is fixed. So, for constant area height should remain same, which is only possible if C moves on a line parallel to…
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