1)

If P(6,10,10), Q(1,0,-5) , R (6,-10, λ)  are vertices of a triangle right angled at Q, then value of λ is 


A) 0

B) 1

C) 3

D) 2

Answer:

Option A

Explanation:

1162021709_mmm.PNG

In PQR is right angled , at θ

    PR2=PQ2+RQ2

 (66)2+(1010)2+(λ10)2+[(16)2+(010)2+(510)2]

   = [(16)2+(0+10)2+(5λ)2]

    400+λ2+10020λ=(25+100+225)+(25+100+25+λ2+10λ)

   λ2+20λ+500=350+150+10λ+λ2

  20λ=10λ30λ=0

   λ=0