TS EAMCET · Maths · Straight Lines
A point moves in the \(X Y\)-plane such that the sum of its distances from two mutually perpendicular lines is always equal to 3 . The area enclosed by the locus of that point is (in sq. units)
- A 27
- B 18
- C 9
- D \(\frac{9}{2}\)
Answer & Solution
Correct Answer
(B) 18
Step-by-step Solution
Detailed explanation
In figure, \(X X^{\prime}\) and \(Y Y^{\prime}\) are two perpendicular axes. \( \therefore|X|+|Y|=3 \) So, \(A B C D\) is a square coordinate of \(B\) and \(C\) are \((3,0)\) and \((0,3)\) \(\therefore\) Length of \(B C=\sqrt{(3-0)^2+(0-3)^2}=\sqrt{9+9}=\sqrt{18}\) Area of…
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