The angle between the lines given by the equation ay2−(1+λ2)xy−ax2=0 is same as the angle between the lines :
A
5x2+2xy−3y2=0
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B
x2−2xy−3y2=0
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C
x2−y2=100
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D
xy=0
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Solution
The correct options are Bxy=0 Cx2−y2=100 Given pair of lines is ay2−(1+λ2)xy−ax2=0 Here, the sum of coefficients of x2 and y2 is 0. Hence, the lines are perpendicular. Among the given options, C and D have sum of coefficients of x2 and y2 as 0.