सिद्ध कीजिए कि सामन्तर रेखाओ `ax+by +c=0` तथा ` k(ax+by)+d=0` के बीच कि 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)))|

सिद्ध कीजिए कि 2tan^(-1)sqrt((b)/(a))=cos^(-1)((a-b)/(a+b))

The perpendicular distance of the plance ax + b y + c z + d = 0 from the point P(x_(0) , y_(0) , z_(0)) is (ax_(0)+by_(0)+cz_(0)+d)/sqrt(a^(2)+b^(2)+c^(2))

if x^(2)+x+1 is a factor of ax^(3)+bx^(2)+cx+d then the real root of ax^(3)+bx^(2)+cx+d=0 is : (a) -(d)/(a)(B)(d)/(a) (C) (a)/(b) (D)none of these

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 C and D are the roots of (x-a) (x-b) -k=0 then the roots of (x-c) (x-d)+k=0 are

If the roots of the equation ax^(2)+bx+c=0 are of the form (k+1)/k and (k+2)/(k+1), then (a+b+c)^(2) is equal to 2b^(2)-ac b.a62 c.b^(2)-4ac d.b^(2)-2ac