COMEDK · Maths · 10. Straight Lines
If the line through \(A=(4,-5)\) is inelined at an angle \(45^{\circ}\) with the positive direction of the \(X\)-axis, then the coordinates of the two points on opposite sides of \(A\) at a distance of \(3 \sqrt{2}\) units are
- A \((7,2),(1,8)\)
- B \((7,2),(1,-8)\)
- C \((7,-2),(1,-8)\)
- D \((7,2),(-1,8)\)
Answer & Solution
Correct Answer
(C) \((7,-2),(1,-8)\)
Step-by-step Solution
Detailed explanation
If the line is inclined at angle \(45^{\circ}\) with the positive direction of the \(X\)-axis i.e. the points are situated at angle \(\theta=45^{\circ}\) from \(X\)-axis at a distance \(r=3 \sqrt{2}\) from point \((4,-5)\). The two points can be given by…
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