IPMAT IndoreAlgebra > Easy17161915✅ Correct Option: 1Watch NowAP: Common termsRelated questions:IPMAT Indore 2023A person standing at the centre of an open ground first walks 32 meters towards the east, takes a right turn and walks 16 meters, takes another right turn and walks 8 meters, and so on. How far will the person be from the original starting point after an infinite number of such walks in this pattern?IPMAT Indore 2019If (1+x−2x2)6=A0+∑r=112Arxr(1 + x - 2x^2)^6 = A_0 + \sum_{r=1}^{12} A_r x^r(1+x−2x2)6=A0+∑r=112Arxr, then the value of A2+A4+A6+⋯+A12A_2 + A_4 + A_6 + \cdots + A_{12}A2+A4+A6+⋯+A12 isIPMAT Indore 2023Let a1,a2,a3a_{1}, a_{2}, a_{3}a1,a2,a3 be three distinct real numbers in geometric progression. If the equations a1x2+2a2x+a3=0a_{1} x ^ 2 + 2a_{2}x + a_{3} = 0a1x2+2a2x+a3=0 and b1x2+2b2x+b3=0b_{1} x ^ 2 + 2b_{2}x + b_{3} = 0b1x2+2b2x+b3=0 have a common root, then which of the following is necessarily true?