# If ax^2 +2hxy+by^2=0 be the two sides of a ||gm and px+qy=1 be its one diagonal then prove that the other diagonal is y(bp-hq)=x(aq-hp)?

• If ax^2 +2hxy+by^2=0 be the two sides of a ||gm and px+qy=1 be its one diagonal then prove that the other diagonal is y(bp-hq)=x(aq-hp)?

The equation $$ax^2+2hxy+by^2+2gx+2fy+c=0$$ represents a pair of parallel lines. Prove that the equation of the line mid way between the two parallel lines ...
Positive: 65 %
In a rectangular hyperbola x 2 – y 2 = a 2 , prove ... of the hyperbola x 2 - y 2 = 9, then the ... squares of its distances from the other two sides ...
Positive: 62 %

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... circle of the ellipse. If $$a>b,$$ then $$x^2+y^2 ... ax^{2}+2hxy+by^{2}+2gx+2fy+c=0,$$ then for ... passing through one of the focii. There are two ...
Positive: 65 %
Question bank for Class 10 - Optional Mathematics ... second degree ax 2 + 2hxy + by 2 = 0 always ... of its two diameters are 2x - y = 5 and x ...
Positive: 60 %
MATHEMATICS SEMESTER SYSTEM MATHEMATICS July, ... one from each topic, ... Angle between two lines given by ax2 + 2hxy + by2 = 0.
$$ax^2+2hxy+by^2=0$$ is $$\dfrac{x^2-y^2}{a-b ... and$$Q(x,y)$$be its image about x-axis, then$$x=\alpha ... theta is the angle between two sides. ...