If `u=a_1x+b_1y+c_1=0,v=a_2x+b_2y+c_2=0,` and `(a_1)/(a_2)=(b_1)/(b_2)=(c_1)/(c_2),` then the curve `u+k v=0` is (a)the same straight line `u` (b)different straight line (c)not a straight line (d)none of these

If z^2+z|z|+|z^2|=0, then the locus z is a. a circle b. a straight line c. a pair of straight line d. none of these

If (a_1)/( a_2) =(b_1)/( b_2) = (C_1) /( c_2) where a_1x +b_1y +c_1=0 and a_2x +b_2y +c_2 =0, then the given pair of linear equation has …………… solutions

The line a_(1)x+b_(1)y+c_(1)=0 and a_(2)x+b_(2)y+c_(2)=0 are perpendicular if:

The equation a^2x^2+2h(a+b)x y+b^2y^2=0 and a x^2+2h x y+b y^2=0 represent (a)two pairs of perpendicular straight lines (b)two pairs of parallel straight lines (c)two pairs of straight lines which are equally inclined to each other (d)none of these

x^2-x y+y^2-4x-4y+16=0 represents a. a point b. a circle c. a pair of straight line 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 straight lines 4a x+3b y+c=0 , where a+b+c are concurrent at the point a) (4,3) b) (1/4,1/3) c) (1/2,1/3) d) none of these

If the line joining the points (0,3)a n d(5,-2) is a tangent to the curve y=C/(x+1) , then the value of c is 1 (b) -2 (c) 4 (d) none of these

If (a_(1))/(a_(2))=(b_(1))/(b_(2))cancel(=)(c_(1))/(c_(2)) where a_(1)x + b_(1) y + c_(1) = 0 and a_(2) x + b_(2) y + c_(2)= 0 then the given pair of linear equation has "____________" solution (s) .