The area of a parallelogram formed by the lines `a x+-b y+-c=0` is (a)`(c^2)/((a b))` (b) `(2c^2)/((a b))` (c)`(c^2)/(2a b)` (d) none of these

The area of a parallelogram formed by the lines a x+-b x+-c=0 is (a) (c^2)/((a b)) (b) (2 c^2)/((a b)) (c) (c^2)/(2a b) (d) none of these

The area of a parallelogram formed by the lines a x+-b x+-c=0 is (a) (c^2)/((a b)) (b) (s c^2)/((a b)) (c) (c^2)/(2a b) (d) none of these

The area of a parallelogram formed by the lines ax+-by+-c=0 is (a) (c^(2))/((ab)) (b) (2c^(2))/((ab)) (c) (c^(2))/(2ab)( d) none of these

The area of the triangle formed by (a,b+c),(b,c+a) and (c,a+b) is a+b+c( b) abc(a+b+c)^(2)(d)0

The area of the triangle formed by (a , b+c),(b , c+a)a n d(c , a+b) is (a) a+b+c (b) a b c (c) (a+b+c)^2 (d) 0

Area of quadrilateral formed by two pair of lines a^(2)x^(2)-b^(2)y^(2)-c(ax+by)=0 and a^(2)x^(2)-b^(2)y^(2)+c(ax-by)=0 is

If a ,\ b ,\ c are in proportion, then (a) a^2=b c (b) b^2=a c (c) c^2=a b (d) None of these

Prove that the area of the parallelogram formed by the lines a_1x+b_1y+c_1=0,a_1x+b_1y+d_1=0,a_2x+b_2y+c_2=0, a_2x+b_2y+d_2=0, is |((d_1-c_1)(d_2-c_2))/(a_1b_2-a_2b_1)| sq. units.

If x^2+p x+1 is a factor of the expression a x^3+b x+c , then a^2-c^2=a b b. a^2+c^2=-a b c. a^2-c^2=-a b d. none of these