A pair of perpendicular straight lines passes through the origin and also through the point of intersection of the curve x2+y2=4 with x+y=a.The set containing the value of ‘a’ is
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a
{−2,2}
b
{−3,3}
c
{−4,4}
d
{−5,5}
answer is A.
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Detailed Solution
x+ya=1 apply homogenizationx2+y2−4(1)2=0x2+y2−4x+ya2=0 coefficient of x2+coefficient of y2=0a=±2