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Q.

If the equation k2x2+2xy+9y2=0 represents a pair of distinct lines, then  k lies in the internal

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a

−13,13

b

−13,13

c

−13,13

d

−13,13

answer is C.

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Detailed Solution

Detailed solution:The condition that the equation ax2+2hxy+by2=0to represents a pair of lines is h2>abHere a=k2,h=1,b=9Hence, 12>k2(9)k2<19k<13Therefore, the interval where the value of  lies is k∈−13,13
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