The d.r. of normal to the plane through (1, 0, 0), (0, 1, 0) which makes an angle /4 with plane x + y = 3 are

JEE Main 2002 Mathematics question

The d.r. of normal to the plane through , which makes an angle with plane are

Answer: (2)

Let the plane be . Through (1, 0, 0): ; through (0, 1, 0): . So the normal is (taking ). The angle with (normal (1, 1, 0)) is : $ = ⇒ =

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Question ID VK-038057