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JEE Mains · Maths · STD 11 - 9. straight line
If the image of point \(P( 2, 3)\) in a line \(L\) is \(Q( 4, 5)\), then the image of point \(R(0, 0)\) in the same line is
- A \((2,2)\)
- B \((4 , 5)\)
- C \((3 ,4)\)
- D \((7, 7)\)
Answer & Solution
Correct Answer
(D) \((7, 7)\)
Step-by-step Solution
Detailed explanation
Mid-point of \(P(2,3)\) and \(Q(4,3)=(3,4)\) Slope of \(PQ=1\) Slope of the line \(L=-1\) Mid-point \((3,4)\) line on the line \(L\). equation of line \(L\), \(y - 4 = - 1\left( {x - 3} \right) \Rightarrow x + y - 7 = 0\,\,\,\,\,.....\left( i \right)\) Let image of point…
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