The Combined Equation Of The Pair Of Lines Through The Origin And Perpendicular To The Pair Of Lines Given By ax2 + 2hxy + by2 = 0, Is   

If the equation 2x² + λ xy + 2y² = 0 represents a pair of a real and distinct lines, then    

If the pair of lines represented by ax² + 2hxy + by² = 0, b ≠ 0, are such that the sum of the slopes of the lines is three times the product of their slopes, then   

The two straight lines given by 

make with the axis of x angle such that the difference of their tangents is

If the sum of the slopes of the lines given by 4x² + 2kxy – 7y² = 0 is equal to the product of the slopes, then k =

If the sum of the slopes of the lines given by x² + 2cxy – y² = 0 is four times their product, then c has the value

If the slopes of the lines given by ax² + 2hxy + by² = 0 are in the ratio 3 : 1, then h² =

If the slope of one line in the pair ax² + 4xy + y² = 0 is three times the other, then a =  

Equation of The Pair of Straight Lines drawn through (1, 1) and perpendicular to the pair of lines 3x² – 7xy + 2y² = 0, is

The equation to the pair of lines perpendicular to the pair of lines 3x² – 4xy+ y² = 0, is

If the slope of one of the lines given by ax² + 2hxy + by² = 0 is 5 times the other, then