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If the angles made by the normal of the plane 2x+3y4z16=0 with the coordinates axes X, Y, Z are , then Cos1k1,Cos1k2,Cos1k3 respectively are

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a
229,329,429
b
229,−329,429
c
229,329,−429
d
12,13,−14

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detailed solution

Correct option is C

The d.r’s of normal of the plane 2x+3y−4z−16=0 are 2,3,−4 and the d.c’s are  229,329,−429∴cosα=229,cosβ=329,cosγ=−429Where α,β,γ are the angle made by the normal with X, Y, Z axes respectiely.∴α=Cos−1229,β=Cos−1329γ=Cos−1−429 ∴k1,k2,k3 values are  229,329,−429 respectively

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