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QJEEM19Ma9e75: JEE Main 2019 Mathematics - Class 11 JEEM19Ma9e75 Solution: If the line 3x + 4y – 24 = 0 intersects the x-axis at the point …

If the line 3x + 4y – 24 = 0 intersects the x-axis at the point A and the y-axis at the point B, then the incentre of the triangle OAB, where O is the origin, is :

Multiple Choice Options

  • A (3, 4)
  • B (2, 2)
  • C (4, 4)
  • D (4, 3)

Step-by-Step Verified Solution

JEE Main 2019 (Online) 10th January Morning Slot Mathematics - Straight Lines and Pair of Straight Lines Question 110 English Explanation

∣3r+4r−245∣=r\left| {{{3r + 4r - 24} \over 5}} \right| = r

7r−24=±5r7r - 24 = \pm 5r

2r=242r = 24   or   12r+2412r + 24

r=14,   r=2r = 14,\,\,\,r = 2

then incentre is (2,2)(2,2)

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