AP EAMCET · Maths · Straight Lines
The number of straight lines that can be drawn through the point \((-3,4)\) which are at a distance of 5 units from the point \((2,-8)\) is
- A \(0\)
- B \(1\)
- C \(2\)
- D Infinite
Answer & Solution
Correct Answer
(C) \(2\)
Step-by-step Solution
Detailed explanation
Clearly, by figure, line \(x=-3\) is 5 units apart from point \(Q(2,-8)\). Now let ' \(m\) ' be the slope of a line passing through \((-3,4)\) and 5 units apart from point \(Q(2,-8)\). Hence equation of line can be given as \((y-4)=m(x+3)\) \[ m x-y+(3 m+4)=0 \] Since equation…
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