`|(ax+y, x, y),(ay+1, y, 1),(0, ax+y, ay+1)|=0 where a^2x+2ay+1!=0` represents (A) a straight line (B) a circle (C) a parabola (D) none of these

The equation x^2y^2-9y^2-6x^2y+54 y=0 represents (a)a pair of straight lines and a circle (b)a pair of straight lines and a parabola (c)a set of four straight lines forming a square (d)none of these

The equation x^2y^2-9y^2-6x^2y+54 y=0 represents (a) a pair of straight lines and a circle (b) a pair of straight lines and a parabola (c) a set of four straight lines forming a square (d) none of these

The parabolas y^2=4ax and x^2=4by intersect orthogonally at point P(x_1,y_1) where x_1,y_1 != 0 provided (A) b=a^2 (B) b=a^3 (C) b^3=a^2 (D) none of these

The straight lines x+2y-9=0,3x+5y-5=0 , and a x+b y-1=0 are concurrent, if the straight line 35 x-22 y+1=0 passes through the point (a , b) (b) (b ,a) (-a ,-b) (d) none of these

The straight lines x+2y-9=0,3x+5y-5=0 , and a x+b y-1=0 are concurrent, if the straight line 35 x-22 y+1=0 passes through the point (a , b) (b) (b ,a) (-a ,-b) (d) none of these

The straight lines x+2y-9=0,3x+5y-5=0 , and a x+b y-1=0 are concurrent, if the straight line 35 x-22 y+1=0 passes through the point (a). (a , b) (b) (b ,a) (-a ,-b) (d) none of these

The lines 2x + y -1=0 , ax+ 3y-3=0 and 3x + 2y -2=0 are concurrent for -

The equation of any plane parallel to x-axis (A) ay+cz+b=0, a^2+b^2+c^2=0 (B) x=a (C) ay+cz-bx=0, a^2+c!=0 (D) none of these

If the pair of straight lines xy - x - y +1=0 & the line ax+2y-3=0 are concurrent then a =

Consider the circle x^(2)+y^(2)=1 and thhe parabola y=ax^(2)-b(agt0) . This circle and parabola intersect at