TS EAMCET · Maths · Straight Lines
If \((-2, 6)\) is the image of the point \((4, 2)\) with respect to the line \(L = 0\), then \(L\) is equal to
- A \(6x - 4y - 7 = 0\)
- B \(2x + 3y - 5 = 0\)
- C \(3x - 2y + 5 = 0\)
- D \(3x - 2y + 10 = 0\)
Answer & Solution
Correct Answer
(C) \(3x - 2y + 5 = 0\)
Step-by-step Solution
Detailed explanation
Slope of the line \(C D\) \[ =\frac{6-2}{-2-4}=\frac{4}{-6}=-\frac{2}{3} \] Slope of the line \(A B=-\frac{1}{-\frac{2}{3}}=\frac{3}{2}\) Mid-point of \(C D\) is \(O\left(\frac{4-2}{2}, \frac{2+6}{2}\right)\) \[ =O(1,4) \] Equation of line \(A B\) is,…
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