AP EAMCET20226 Jul 2022Evening ShiftMathematicsVector AlgebraActual

In a trapezium A B C D, B C = A D and x = A C + B D . If x =p A D , then p=

Options

A-1
B+1
C1-
D2 -1

Correct answer

B. +1

Step-by-step solution

Let position vector of A, B, C and D are a, b, c and d, respectively. aligned B C & = A D c - b & = ( d - a ) x & = A C + B D x & = c - a + d - b = c - b + d - a & = ( d - a )+ l ( d - a ) [ from Eq. (i), c-b= (d-a)] & =( +1)( d - a ) aligned On comparing with x =p A D aligned & x =p A D & ( +1)( d - a )=p( d - a ) & p= +1 & aligned

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