KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math: Questions 110 - 112 of 155
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Question number: 110
Appeared in Year: 2013
Let be a non – constant polynomial with real coefficients such that and for all real . Which of the following statements is NOT necessarily true? (Model Paper)
The coefficient of the highest degree term in is negative
has at least two real roots
At least one of the coefficients of is bigger than .
Question number: 111
Appeared in Year: 2014
Let be the circle in the XY – plane. For each , let be the line passing through and . Note that intersects C in two points, one of which is . Let be the other point. As varies between and , the collection of points sweeps out an arc on C. The angle subtended by this are at is: