i)Sir,the ratio of circumference to the diameter of a circle c/d is represented by pi(greek letter),but piis irrational.Why? ii)If a and b are unequal and quadratic equations x2+ax+b and x2+bx+a have one common factor, then show that a+b+1=0?

Asked by raoss1967 | 8th Jul, 2015, 07:14: PM

Expert Answer:

straight pi equals space Circumference over Diameter. space Now comma space the space terms space Circumference space and space Diameter space are space not space constant. space We space can space take space different space circles space of different space sizes space and space we space can space see space that space the space value space of space ratio space is space constant But space the space exact space value space of space straight pi space is space not space known. space Even space using space modern space methods comma space we space have space found space that space the space value space of space the space straight pi space is space neither terminating space nor space recurring. space Now space we space know space that space straight a space number space which space is space neither space terminating space nor space recurring space is space an space irrational space number. Therefore comma space we space can space say space that space straight pi space is space an space irrational space number. space  Note colon space Please space type space only space one space question space per space query.

Answered by Prasenjit Paul | 9th Jul, 2015, 09:05: AM

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