(a ) समांतर रेखाओं ` ax+ by +c=0` तथा `ax +by + d=0 ` के बीच की दुरी ज्ञात कीजिए|
(b) सिद्ध कीजिए की समांतर रेखाओं `ax+ by +c=0 ` तथा ` k(ax+by)+d=0` के बीच की दुरी ` (c-d//k)/(sqrt(a^(2) +b^(2)) ) ` है|

Show that the distance between the parallel lines ax+by+c=0 and k(ax+by)+d=0 is |(c-(d)/(k))/(sqrt(a^(2)+b^(2)))|

Show that the distance between the parallel lines ax+by+c=0 and k(ax+by)+d=0 is |(c-(d)/(k))/(sqrt(a^(2)+b^(2)))|

IF ax^2 + 2cx + b=0 and ax^2 + 2bx +c=0 ( b ne 0) have a common root , then b+c=

If ax^3 + bx^2 + cx + d is divisible by ax^2 + c , then a, b, c, d are in

A sum of Rs. 5200 is divided amongst A, B, C and D such that the ratio of shares of A and B is 2:3, that of B and C is 4:5 and that of C and D is 1:2. What is the difference between the shares of B and D? 5200 रुपये की राशि A, B, C और D में इस प्रकार विभाजित की जाती है कि A और B के हिस्सों का अनुपात 2: 3 है, B और C के हिस्सों का अनुपात 4 : 5 है तथा C और D के हिस्सों का अनुपात 1 : 2 है | B और D के हिस्सों में क्या अंतर है ?

If the quadrilateral formed by the lines ax + by + c = 0, a'x + b'y + c' = 0, ax + by + c' = 0,a'x + b'y + c = 0 have perpendicular diagonals, then :

If the roots of ax^3 + bx^2 + cx +d=0 are in A.P then the roots of a ( x+k)^3 + b ( x + k)^2 + c ( x+k) + d=0 are in

D.E. of family of lines ax+by+c=0 is