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Home / Doubts and Solutions/JEE/Mathematics

kindly solve 13, 14, 15

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Asked by arup.isro 12th June 2018, 9:35 PM
Answered by Expert
Answer:
begin mathsize 16px style fraction numerator straight x squared space plus space ax space plus space 1 over denominator straight x squared space plus space straight x space plus space 1 end fraction space less than space 3 rightwards double arrow straight x squared space plus space ax space plus space 1 space less than space 3 straight x squared space plus space 3 straight x space plus space 3 rightwards double arrow 2 straight x squared space plus space straight x space left parenthesis space 3 space minus space straight a space right parenthesis space plus space 2 space greater than 0 Since comma space straight L. straight H. straight S space greater than space 0 space for space all space straight x space rightwards double arrow space its space graph space never space touches space straight x space minus space axis rightwards double arrow No space roots rightwards double arrow increment space less than space 0 space means space straight b squared space minus space 4 ac space less than space 0 rightwards double arrow left parenthesis space 3 space minus space straight a space right parenthesis squared space minus space 4 space cross times 2 cross times space 2 space less than space 0 rightwards double arrow straight a squared space minus 6 straight a space plus space 9 space minus space 16 space less than 0 rightwards double arrow straight a squared space minus 6 straight a space minus space 7 space less than space 0 rightwards double arrow left parenthesis space straight a space minus space 7 right parenthesis space left parenthesis space straight a space plus space 1 right parenthesis less than space 0 Roots space are space straight a space equals space 7 space or space straight a space equals space minus 1 rightwards double arrow left parenthesis space straight a space minus space 7 right parenthesis space left parenthesis space straight a space plus space 1 right parenthesis less than space 0 rightwards double arrow negative 1 less than space straight a space less than 7 end style
Answer C
Answered by Expert 15th June 2018, 5:33 PM
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