Tip:A–D to answerE for explanationV for videoS to reveal answer
Let (α,β,γ) be the image of the point P(2,3,5) in the plane 2x+y−3z=6. Then α+β+γ is equal to:
- A.
5
- B.
9
- C.
10
(Correct Answer) - D.
12
Explanation
Solution:
Image ka formula hota hai: ax−x1=by−y1=cz−z1=−2a2+b2+c2(ax1+by1+cz1−d)
2α−2=1β−3=−3γ−5=−222+12+(−3)2(2(2)+3−3(5)−6)
2α−2=1β−3=−3γ−5=−214(4+3−15−6)=−214(−14)=2
Ab α,β,γ nikalte hain:
α=2(2)+2=6,β=1(2)+3=5,γ=−3(2)+5=−1.
Explanation
Solution:
Image ka formula hota hai: ax−x1=by−y1=cz−z1=−2a2+b2+c2(ax1+by1+cz1−d)
2α−2=1β−3=−3γ−5=−222+12+(−3)2(2(2)+3−3(5)−6)
2α−2=1β−3=−3γ−5=−214(4+3−15−6)=−214(−14)=2
Ab α,β,γ nikalte hain:
α=2(2)+2=6,β=1(2)+3=5,γ=−3(2)+5=−1.
