TS EAMCET · Maths · Straight Lines
\(\mathrm{B}(2,3), \mathrm{C}(5,-2) . \mathrm{D}(1,-1)\) are three points. If \(\mathrm{A}\) is a variable point such that the area of the quadrilateral \(\mathrm{ABCD}\) is \(10 \mathrm{sq}\). units, then the locus of \(\mathrm{A}\) is
- A \((x-4 y+42)(x-4 y+2)=0\)
- B \((x-4 y-42)(x-4 y-2)=0\)
- C \((4 x-y+42)(4 x-y+2)=0\)
- D \((4 x-y-42)(4 x-y-2)=0\)
Answer & Solution
Correct Answer
(D) \((4 x-y-42)(4 x-y-2)=0\)
Step-by-step Solution
Detailed explanation
Given vertices of quadrilateral \(\mathrm{ABCD}\) are \(\mathrm{B}(2,3)\) \(\mathrm{C}(5,-2)\) and \(\mathrm{D}(1,-1)\) with area of \(\mathrm{ABCD}\) is 10 sq. units. Area of quadrilateral \(\mathrm{ABCD}=\)…
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