InterviewSolution
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InterviewSolution
| 1. |
Find the value of `lambda " if " 2x^(2) +6xy +3y^(2) +8x +14y +lambda =0` represent a pair of straight lines. |
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Answer» `ax^(2) +2hxy+ by^(2) 2gx + 2fy+ c=0` represents a pair of lines if `|{:(a,,h,,g),(h,,b,,f),(g,,f,,c):}|=0` `rArr|{:(2,,7//2,,4),(7//2,,3,,7),(4,,7,,lambda):}|=0` `" or " 6lambda +2(7) (4) ((7)/(2)) -2(7)^(2) -3 (4)^(2) -lambda ((7)/(2))^(2) =0` `" or " 6 lambda +196 -98 -48 -(49lambda)/(4)=0` `" or " (49lambda)/(4)-6lambda =196 -146 =50` `" or " (25lambda)/(4)=50 " or " lambda =(200)/(25)=8` |
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