The straight line `a x+b y+c=0` , where `a b c!=0,` will pass through the first quadrant if `a c >0,b c >0` `c >0a n db c<0` `b c >0` and/or `a c >0` (d) `a c<0` and/or `b c<0`

The straight line a x+b y+c=0 , where a b c!=0, will pass through the first quadrant if (a) a c >0,b c >0 (b) ac >0 or b c 0 or a c >0 (d) a c<0 or b c<0

If a x^2+b x+c=0,a ,b ,c in R has no real zeros, and if c 0 (c) a >0

The straight lines 4a x+3b y+c=0 passes through? , where a+b+c =0 (a) (4,3) (b) (1/4,1/3) (1/2,1/3) (d) none of these

If a + 2b + 3c = 0 " then " a/3+(2b)/3+c=0 and comparing with line ax + by + c, we get x = 1/3 & y = 2/ 3 so there will be a point (1/3,2/3) from where each of the lines of the form ax + by + c = 0 will pass for the given relation between a,b,c . We can say if there exists a linear relation between a,b,c then the family of straight lines of the form of ax + by +c pass through a fixed point . If a , b, c are consecutive odd integers then the line ax + by + c = 0 will pass through

If a , b and c are in A P , then the straight line a x+b y+c=0 will always pass through a fixed point whose coordinates are (a) (1,2) (b) (1,-2) (c) (2,3) (d) (0,0)

If the planes x-c y-b z=0,c x=y+a z=0a n db x+a y-z=0 pass through a straight line, then find the value of a^2+b^2+c^2+2a b cdot

If the planes x-c y-b z=0,c x=y+a z=0a n db x+a y-z=0 pass through a straight line, then find the value of a^2+b^2+c^2+2a b cdot

If fig shows the graph of f(x)=a x^2+b x+c ,t h e n Fig a. c 0 c. a b >0 d. a b c<0

If the lines x+a y+a=0,\ b x+y+b=0\ a n d\ c x+c y+1=0 are concurrent, then write the value of 2a b c-a b-b c-c adot

Find the equation of the straight line which passes through the origin and the point of intersection of the lines ax+by+c=0 and a'x+b'y+c'=0 .