CAT Exam

The equation 2x^2 + 2(p + 1)x + p = 0, where p is real, always has roots that are

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CAT Other Question

Sum of first 12 terms of a GP is equal to the sum of the first 14 terms in the same GP. Sum of the first 17 terms is 92, what is the third term in the GP? karan and arjun run a 100-meters race ,where karan beats arjun 10 meters . To do a favour to arjun starts 10 meters behind the starting line in a second 100 meters race.they both run at their earlier speeds .which of the following is true in connection with the second race,,,,(a) both reach simultaneously (b) arjun beats karan by 1 m (c)arjun beats karan by 11 m (d)karan beats arjun by 1 m,