WBJEE · Maths · Straight Lines
A rectangle \(A B C D\) has its side parallel to the line \(y=2 x\) and vertices \(A, B, D\) are on lines \(y=1, x=1\) and \(x=-1\) respectively. The coordinate of \(C\) can be
- A \((3,8)\)
- B \((-3,8)\)
- C \((-3,-1)\)
- D None of these
Answer & Solution
Correct Answer
(D) None of these
Step-by-step Solution
Detailed explanation
Hint: Case I line \(y=2 x\ldots(1)\) \(A D\) parallel to \(y=2 x\) \(\Rightarrow \mathrm{M}_{\mathrm{AD}}=2 ~\&~ \mathrm{M}_{\mathrm{AB}}=-\frac{1}{2}\) for \(a=3\) \(A(3,1), B(1,2), C(-3,-6), D(-1,-7)\)…
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