JEE Advanced Mathematics question

MathematicsQuadratic Equations and InequalitiesJEE Advanced

In each question, match every entry of Column I with the correct entry of Column II. (An entry of Column II may be used more than once.) Column I: (i) If for all then (ii) If the difference between the roots of is less than then (iii) If the complex number for all is represented by an interior point of the circle then (iv) If has real solutions for then Column II: (a) (b) (c) (d)

Answer: (4)

Solution

**(i)** The leading coefficient is , so the condition is : , giving → **(c)**. - **(ii)** , and gives , i.e. →

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Question ID VK-110275