For real x, the function will assume all realvalues provided (1984  3 Marks)
If S is the set of all real x such that is positive,then S contains (1986  2 Marks)
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If a, b and c are distinct positive numbers, then the expression (b + c – a)(c + a – b)(a + b – c) – abc is (1986  2 Marks)
If a, b, c, d and p are distinct real numbers such that (a^{2} + b^{2 }+ c^{2})p^{2} – 2 (ab + bc + cd)p + (b^{2} + c^{2 }+ d^{2}) ≤ 0 then a, b, c, d (1987  2 Marks)
The equation has
The product of n positive numbers is unity Then their sum is (1991  2 Marks)
Number of divisor of the form 4n + 2 (n ≥ 0) of the integer 240 is (1998  2 Marks)
If 3^{x} = 4^{x–1}, then x = (JEE Adv. 2013)
Let S be the set of all nonzero real numbers α such that the quadratic equation αx^{2} – x + α = 0 has two distinct real roots x_{1} and x_{2} satisfying the inequality x_{1 }– x_{2} < 1. Which of the following intervals is(are) a subset(s) of S? (JEE Adv. 2015)
327 docs185 tests

327 docs185 tests
