Questions
lf there are three points A(2,3, 4), B(- 1,2, - 3) and C(-4,1, - 10) in a space, then they are
detailed solution
Correct option is B
Given, points are A(2,3,4), B(-1,2, -3) and C(-4,1, -10).Now, determine area of triangleArea of triangle Δ=Δxy2+Δγz2+Δzx2Where, Δxy=12x1 y1 1x2 y2 1x3 y3 1 , Δyz=12y1 z1 1y2 z2 1y3 z3 1 and Δzx=12z1 x1 1z2 x2 1z3 x3 1now,Δxy=12231−121−411=122(2−1)−3(−1+4)]+1(−1+8)=12|[2−9+7]|=0Δyz=123412−311−101=123(−3+10)−4(2−1)+1(−20+3)=12|21−4−17|=0Δzx=12421−3−11−10−41=124(−1+4)−2(−3+10)+1(12−10)=12|[12−14+2]|=0Δ=02+02+02=0Hence, given points are collinearTalk to our academic expert!
Similar Questions
are vertices of If a,b,c are HG, GS, SH then their increasing order is (H,G, S are orthocentre, centroid and circumcentre)
799 666 8865
support@infinitylearn.com
6th Floor, NCC Building, Durgamma Cheruvu Road, Vittal Rao Nagar, HITEC City, Hyderabad, Telangana 500081.
JEE Mock Tests
JEE study guide
JEE Revision Notes
JEE Important Questions
JEE Sample Papers
JEE Previous Year's Papers
NEET previous year’s papers
NEET important questions
NEET sample papers
NEET revision notes
NEET study guide
NEET mock tests