If the angle between line with direction cosines −221,a21,b21 and normal to the plane x + y – 2z + 4 = 0 is 900 , then a pair of values of a and b is

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4, 1

1, 4

–1, –4

–6, –3

answer is A.

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Detailed Solution

1(−221)+1(a21)−2(b2)=0 -2+a – 2b =0a – 2b = 2= by verificationa = 4, b = 1 satisfies this condition

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