Area of the rhombus formed by the lines `ax +- by +- c = 0` is (A) `2c^2/|ab|` (B) `|ab|/2c^2` (C) `c^2/|ab|` (D) `|ab|/c^2`

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

If a^2+b^2-c^2-2ab = 0 , then the family of straight lines ax + by + c = 0

If the line ax + by + c =0 is a normal to the curve xy+1=0 ,then 1) ab 2) ab=0 3) ab>0 d) ab=-3

If ax^2+px+1 is a factor of ax^3+bx+c then a) a^2+c^2=-ab b) a^2+c^2=ab c) a^2-c^2=ab d)a^2-c^2=-ab

35. If the sum of the roots of ax^2 + bx +c = 0 be equal to sum of the squares, then- (A) 2ac = ab + b2 (B) 2ab-bc + c2 c (D) None of these (D) None of these (C) 2bc -ac+2

If a:b = 3 : 2 and b : c = 2 : 5, find a : c.

(i ) If the length of perpendicular from origin to the line ax+by+a+b=0 is p , then show that : p^(2)-1=(2ab)/(a^(2)+b^(2)) (ii) If the length of perpendicular from point (1,1) to the line ax-by+c=0 is unity then show that : (1)/(a)-(1)/(b)+(1)/(C )=(c )/(2ab)

If A and B are two matrices such that AB=B and BA=A then A^2+B^2= (A) 2AB (B) 2BA (C) A+B (D) AB

If x^(2)+px+1 is a factor of ax^(3)+bx+c then a a^(2)+c^(2)=-ab b) a^(2)+c^(2)ab c) a^(2)-c^(2)=ab d a^(2)-c^(2)=-ab