WBJEE · Maths · Straight Lines
The number of lines which pass through the point (2,-3) and are at a distance 8 from the point (-1,2) is
- A infinite
- B 4
- C 2
- D 0
Answer & Solution
Correct Answer
(D) 0
Step-by-step Solution
Detailed explanation
The distance from the point (-1,2) of the line which passes through (2,-3) \[ \begin{array}{l} =\sqrt{(2+1)^{2}+(-3-2)^{2}} \\ =\sqrt{9+25}=\sqrt{34} < 8 \end{array} \] Given that, the distance between the point (-1,2) and the line is 8 But the maximum distance of the line…
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