WBJEE · Maths · Straight Lines
The coordinates of the two points lying on \(x+y=4\) and at a unit distance from the straight line \(4 x+3 y=10\) are
- A \((-3,1),(7,11)\)
- B \((3,1),(-7,11)\)
- C \((3,1),(7,11)\)
- D \((5,3),(-1,2)\)
Answer & Solution
Correct Answer
(B) \((3,1),(-7,11)\)
Step-by-step Solution
Detailed explanation
Hints : Let \(p(h, 4-h)\) \(\begin{aligned} & \left|\frac{4 h+3(4-h)-10}{5}\right|=1 \\ & |h+2|=5 \\ & h=3,-7 ; p=1,1 \\ & (3,1),(-7,11) \end{aligned}\)
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