JEE Mains · Maths · STD 11 - 9. straight line
If in a parallelogram \(ABDC\), the coordinates of \(A, B\) and \(C\) are respectively \((1, 2), (3, 4)\) and \((2, 5)\), then the equation of the diagonal \(AD\) is
- A \(5x - 3y +1 = 0\)
- B \(5x + 3y -11 = 0\)
- C \(3x - 5y + 7 = 0\)
- D \(3x + 5y -13 = 0\)
Answer & Solution
Correct Answer
(A) \(5x - 3y +1 = 0\)
Step-by-step Solution
Detailed explanation
\(E\) is \(\left( {\frac{5}{2},\frac{9}{2}} \right)\) Slope of \(AD = \frac{5}{3}\) Equation of \(AD\) is \(y - 2 = \frac{5}{3}\left( {x - 1} \right)\) \( \Rightarrow 5x - 3y + 1 = 0\)
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