Question
Equation of The Pair of Straight Lines drawn through (1, 1) and perpendicular to the pair of lines 3x^{2} – 7xy + 2y^{2} = 0, is



None of these

easy
Solution
None of these
The joint equation of The Pair of Straight Lines passing through the origin and perpendicular to the pair of lines 3x^{2} – 7xy + 2y^{2} = 0 is 2x^{2} + 7xy + 3y^{2 }= 0. Shifting the origin at (1, 1), we obtain
as the joint equation of pair of lines drawn through (1, 1) and perpendicular to the pair of lines
SIMILAR QUESTIONS
If the equation 2x^{2} + λ xy + 2y^{2} = 0 represents a pair of a real and distinct lines, then
If the pair of lines represented by ax^{2} + 2hxy + by^{2} = 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 4x^{2} + 2kxy – 7y^{2} = 0 is equal to the product of the slopes, then k =
If the sum of the slopes of the lines given by x^{2} + 2cxy – y^{2} = 0 is four times their product, then c has the value
If the slopes of the lines given by ax^{2} + 2hxy + by^{2} = 0 are in the ratio 3 : 1, then h^{2} =
If the slope of one line in the pair ax^{2} + 4xy + y^{2} = 0 is three times the other, then a =
The combined equation of the pair of lines through the origin and perpendicular to the pair of lines given by ax^{2} + 2hxy + by^{2} = 0, is
The equation to the pair of lines perpendicular to the pair of lines 3x^{2} – 4xy+ y^{2} = 0, is
If the slope of one of the lines given by ax^{2} + 2hxy + by^{2} = 0 is 5 times the other, then