JEE MAIN - Mathematics (2020 - 3rd September Evening Slot - No. 14)
If a $$\Delta $$ABC has vertices A(–1, 7), B(–7, 1) and
C(5, –5), then its orthocentre has coordinates :
(–3, 3)
(3, –3)
$$\left( {{3 \over 5}, - {3 \over 5}} \right)$$
$$\left( { - {3 \over 5},{3 \over 5}} \right)$$
Explanation
_3rd_September_Evening_Slot_en_14_2.png)
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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