COMEDK · Maths · 10. Straight Lines
The image of the point \((2,4)\) on the line \(x+y-10=0\) is
- A \((4,8)\)
- B \((6,5)\)
- C \((6,8)\)
- D \((0,10)\)
Answer & Solution
Correct Answer
(C) \((6,8)\)
Step-by-step Solution
Detailed explanation
Let the image of point \((2,4)=(h, k)\), then \(\frac{h-x_{1}}{a}=\frac{k-y_{1}}{b}=\frac{-2\left(a x_{1}+b y_{1}+c\right)}{a^{2}+b^{2}}\) \(\frac{h-2}{1}=\frac{k-4}{1}=\frac{-2(2+4-10)}{1^{2}+1^{2}}\) \(\frac{h-2}{1}=\frac{k-4}{1}=\frac{-2(-4)}{2}\)…
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