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If the slope of one of the lines represe...

If the slope of one of the lines represented by `a x^2+2h x y+b y^2=0` is the square of the other, then `(a+b)/h+(8h^2)/(a b)=` 4 (b) 6 (c) 8 (d) none of these

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If the slope of one of the lines represented by a x^2+2h x y+b y^2=0 is the square of the other, then (a+b)/h+(8h^2)/(a b)= (a) 4 (b) 6 (c) 8 (d) none of these

If the slope of one of the lines represented by ax^(2)+2hxy+by^(2)=0 is the square of the other , then (a+b)/(h)+(8h^(2))/(ab)=

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If the slope of one of the pairs of lines represented by equation a^(3) x^(2) + 2hxy + b^(3) y^(2) = 0 is square of the other, then prove that ab(a+ b) = - 2h.

If the gradient one of the lines ax^2+2h x y+by^2=0 is twice that of the other, then h^2 =_______

If the gradient one of the lines x^2+h x y+2y^2=0 is twice that of the other, then h=_______

If one of the lines denoted by the line pair a x^2+2h x y+b y^2=0 bisects the angle between the coordinate axes, then prove that (a+b)^2=4h^2

If one of the lines represented by the equation ax^2+2hxy+by^2=0 is coincident with one of the lines represented by a'x^2+2h'xy+b'y^2=0 , then

If a tangent of slope is 2 of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 is normal to the circle x^2+y^2+4x+1=0 , then the maximum value of a b is 4 (b) 2 (c) 1 (d) none of these

Through a point A (2,0) on the x-axis, a straight line is drawn parallel to the y-axis so as to meet the pair of straight lines a x^2+2h x y+b y^2=0 at B and Cdot If A B=B C , then (a) h^2=4a b (b) 8h^2=9a b (c) 9h^2=8a b (d) 4h^2=a b

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