COMEDK · Maths · 28. Indefinite Integration
Find the length of the perpendicular drawn from the point \((4,-7)\) to the line joining the origin and the point of intersection of the lines \(2 x-3 y+14=0\) and \(5 x+4 y-7=0\)
- A \(\dfrac{13}{64}\) units
- B 1 unit
- C 13 units
- D \(\dfrac{64}{13}\) units
Answer & Solution
Correct Answer
(B) 1 unit
Step-by-step Solution
Detailed explanation
Let the two given lines be \(L_1: 2x - 3y + 14 = 0\) and \(L_2: 5x + 4y - 7 = 0\). To find the point of intersection, multiply \(L_1\) by 4 and \(L_2\) by 3: \(8x - 12y + 56 = 0\) \(15x + 12y - 21 = 0\) Adding these equations gives \(23x + 35 = 0\), so \(x = -\dfrac{35}{23}\).…
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