Show that all chords of the curve 3x^2-y^ 2-2x + 4y = 0, which subtend a right angle at the origin, pass through a fixed point. Find the coordinates of the point.
If the locus of the mid point of AB is 5xy=3y+x then how to find the locus of foot of perpendicular from the origin on AB?
A variable line drawn through the intersection point of x + 2y = 1 and 2x-y = 1 meets x-axis at A and y-axis at B, then :- a ) locus of foot of perpendicular from the origin on AB is 5x^2+5y^2-3x-y=0 ;b) locus of perpendicular bisector of AB is 5x^2+5y^2+3x+y=0..The answer should be 'a'..Please help.
Relation between a, b,c and d are so that ay^2+bxy+cx+dy=0 represents pair of straight lines. A) c=0 ;B) a=0 ; C) ad-bc=0 ; D) ac-bd=0 .The answer should be a) and d) ..Please help.
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