If {-}{a},{-}{b},{-}{c} are the position vectors of the points A, B, C respectively, then match the items of list- I with those of list- II List-I List-II A) {-}{a}={-}{2i}+{-}{3j}+{-}{4k}; {-}{b}={-}{3i}+{-}{4j}+{-}{2k}; {-}{c}={-}{4i}+{-}{2j}+{-}{3k} I) A,B,C are collinear B) {-}{a}={-}{i}+{-}{2j}+{-}{3k}; {-}{b}={-}{3i}+{-}{4j}+{-}{7k}; {-}{c}=-{-}{3i}-{-}{2j}-{-}{5k} III) ΔABC is a right angled triangle C) {-}{a}={-}{2i}-{-}{j}+{-}{k}; {-}{b}={-}{i}-{-}{3j}-{-}{5k}; {-}{c}=-{-}{3i}-{-}{4j}-{-}{4k} V) ΔABC is an equilateral triangle D) {-}{a}={-}{i}+{-}{j}+{-}{k} IV) ΔABC is a right angled isosceless triangle V) ΔABC is an equilateral triangle

Question

Examsnet · Accepted Answer

Correct Answer is : ABCDVIIIIII{array}{cccc} A & B & C & D \ V & I & III & II {array}AV​BI​CIII​DII​

List-I	List-II
A) $\overset{-}{a}=\overset{-}{2i}+\overset{-}{3j}+\overset{-}{4k};$ $\overset{-}{b}=\overset{-}{3i}+\overset{-}{4j}+\overset{-}{2k};$ $\overset{-}{c}=\overset{-}{4i}+\overset{-}{2j}+\overset{-}{3k}$	I) A,B,C are collinear
B) $\overset{-}{a}=\overset{-}{i}+\overset{-}{2j}+\overset{-}{3k};$ $\overset{-}{b}=\overset{-}{3i}+\overset{-}{4j}+\overset{-}{7k};$ $\overset{-}{c}=-\overset{-}{3i}-\overset{-}{2j}-\overset{-}{5k}$	III) ΔABC is a right angled triangle
C) $\overset{-}{a}=\overset{-}{2i}-\overset{-}{j}+\overset{-}{k};$ $\overset{-}{b}=\overset{-}{i}-\overset{-}{3j}-\overset{-}{5k};$ $\overset{-}{c}=-\overset{-}{3i}-\overset{-}{4j}-\overset{-}{4k}$	V) ΔABC is an equilateral triangle
D) $\overset{-}{a}=\overset{-}{i}+\overset{-}{j}+\overset{-}{k}$	IV) ΔABC is a right angled isosceless triangle
	V) ΔABC is an equilateral triangle

TS EAMCET 11-Sep-2020 Shift 1 Solved Paper