TS EAMCET · Maths · Straight Lines
\(\left(x_1, y_1\right)\) is the point of concurrencey of a family of lines. If the algebraic sum of the lengths of the perpendicular drawn to these lines from \((2,0),(0,2)\) and \((1,1)\) is zero, then \(\left(x_1, y_1\right)=\)
- A \((1,1)\)
- B \((0,2)\)
- C \((-1,1)\)
- D \((1,2)\)
Answer & Solution
Correct Answer
(A) \((1,1)\)
Step-by-step Solution
Detailed explanation
Let the equation of line passes through point \(\left(x_1, y_1\right)\) having slope \(m\) is \(y-y_1-m\left(x-x_1\right)=0\) Now, algebraic sum of the lengths of the perpendiculars drawn to the line (i) from \((2,0)\), \((0,2)\) and \((1,1)\) is…
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