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QJEEM20Ma9826: JEE Main 2020 Mathematics - Class 11 JEEM20Ma9826 Solution: Two vertical poles AB = 15 m and CD = 10 m are standing apart…

Two vertical poles AB = 15 m and CD = 10 m are standing apart on a horizontal ground with points A and C on the ground. If P is the point of intersection of BC and AD, then the height of P (in m) above the line AC is :

Multiple Choice Options

  • A `10/3
  • B 5
  • C `20/3
  • D 6

Step-by-Step Verified Solution

JEE Main 2020 (Online) 4th September Morning Slot Mathematics - Straight Lines and Pair of Straight Lines Question 89 English Explanation
Equation of AD : y=10axy = {{10} \over a}x

Equation of BC : xa+y15=1{x \over a} + {y \over {15}} = 1

⇒ay10a+y15=1\Rightarrow {{ay} \over {10a}} + {y \over {15}} = 1

⇒3y+2y30=1\Rightarrow {{3y + 2y} \over {30}} = 1

⇒y=6\Rightarrow y = 6

∴\therefore y coordinate of point P = 6 = height of point P above the line AC.

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