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QJEEM20Maae28: JEE Main 2020 Mathematics - Class 11 JEEM20Maae28 Solution: If a ABC has vertices A(–1, 7), B(–7, 1) and C(5, –5), then its …

If a Δ\Delta ABC has vertices A(–1, 7), B(–7, 1) and C(5, –5), then its orthocentre has coordinates :

Multiple Choice Options

  • A (–3, 3)
  • B (3, –3)
  • C (35,−35)\left( {{3 \over 5}, - {3 \over 5}} \right)
  • D (−35,35)\left( { - {3 \over 5},{3 \over 5}} \right)

Step-by-Step Verified Solution

JEE Main 2020 (Online) 3rd September Evening Slot Mathematics - Straight Lines and Pair of Straight Lines Question 90 English Explanation

equation of CD

y + 5 = -1 (x - 5)

⇒\Rightarrow x + y = 0 .....(1)

equation of AE

y - 7 = 2 (x + 1)

⇒\Rightarrow 2x - y = -9 ......(2)

from (1) & (2)

x = -3, y = 3

Othocentre = (-3, 3)

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