TS EAMCET · Maths · Straight Lines
The locus of the image of a variable point \((\alpha, 2 \alpha-1)\) with respect to the line \(3 x-2 y+4=0\), is
- A \(22(13 x+36)=19(13 y-11)\)
- B \(30(13 x+36)=19(13 y+37)\)
- C \(22(13 x+36)=7(13 y+11)\)
- D \(22(13 x-36)=30(13 y-11)\)
Answer & Solution
Correct Answer
(A) \(22(13 x+36)=19(13 y-11)\)
Step-by-step Solution
Detailed explanation
Given a point \({P}(\alpha, 2 \alpha-1)\) with respect to the line \(3 x-2 y+4=0\). Formula for locus of point \(p\) is \( \frac{{x}-{x}_1}{{a}}=\frac{{y}-{y}_1}{{~b}}=\frac{-2\left({ax}_1+{by}_1+{c}\right)}{{a}^2+{b}^2} \) Here,…
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