JEE Advanced Mathematics question
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) The domain of the real valued function for which is (ii) A point is moving along the curve . The interval of values of in which the ordinate changes faster than the abscissa is (iii) The range of values of for which , and will be the lengths of three sides of a triangle is (iv) The equation has real solutions for if belongs to Column II: (a) (b) (c) (d)
Solution
**(i)** Let . Then , i.e. . A real positive exists iff the discriminant , i.e. , i.e. . The product of the roots is and their sum is , so both roots are positive. The domain is → **(c)** (printed as
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