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` (c)`b c >0` or `a c >0` (d) `a c<0` or `b c<0`

The set of lines ax + by + c = 0 where 3a + 2b + 4c = 0 intersect at the point

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 straight line a x+c y=2b , where a , b , c >0, makes a triangle of area 2 sq. units with the coordinate axes, then a , b , c are in GP a, -b; c are in GP a ,2b ,c are in GP (d) a ,-2b ,c are in GP

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) (c) (-a ,-b) (d) none of these

The equation 4ax^2 + 3bx + 2c = 0 where a, b, c are real and a+b+c = 0 has

Solve the equation |a-x c b c b-x a b a c-x|=0w h e r ea+b+c!=0.

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

If the equation x^2+y^2+2h x y+2gx+2fy+c=0 represents a circle, then the condition for that circle to pass through three quadrants only but not passing through the origin is (a) f^2> c (b) g^2>2 (c) c >0 (d) h=0

If ax^2 + bx + c = 0, a, b, c in R has no real zeros, and if a + b + c + lt 0, then

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