Quadratic Equation and Inequalities

Appeared 129 times across 22 years of JEE Main papers — about 5.9 questions a year. Every one of them is below, with a full worked solution.

Questions per year

5’02

3’03

3’04

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1’07

2’08

1’09

1’10

1’12

1’13

2’14

1’15

3’16

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9’24

01Medium129×since 2002Q5076

The number of integral values of k, for which one root of the equation

2x^2-8x+k=0

lies in the interval (1, 2) and its other root lies in the interval (2, 3), is :