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Quadratic Equation and Inequalities question

2008 · Shift 0 · Q52
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  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Quadratic Equation and Inequalities
  5. /2008 · Shift 0 · Q52

Quadratic Equation and Inequalities question

2008 · Shift 0 · Q52

JEE MainMathematicsQuadratic Equation and InequalitiesMCQ+4 / −1
STATEMENT - 1 : For every natural number n≥2,11+12+........+1n>n.n \ge 2,{1 \over {\sqrt 1 }} + {1 \over {\sqrt 2 }} + ........ + {1 \over {\sqrt n }} \gt \sqrt n .n≥2,1​1​+2​1​+........+n​1​>n​. STATEMENT - 2 : For every natural number n≥2,n \ge 2,n≥2,, n(n+1)<n+1.\sqrt {n\left( {n + 1} \right)} \lt n + 1.n(n+1)​<n+1.
  1. A
    Statement - 1 is false, Statement - 2 is true
  2. B
    Statement - 1 is true, Statement - 2 is true; Statement - 2 is a correct explanation for statement - 1
  3. C
    Statement - 1 is true, Statement - 2 is true; Statement - 2 is not a correct explanation for Statement - 1
  4. D
    Statement - 1 is true, Statement - 2 is false
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