The differential equation of all straight lines which are at a constant distance p from the origin, is
(a) `(y+xy_1)^(2)=p^(2) (1+y_(1)^2)`
(b) `(y-xy_(1)^(2))=p^(2) (1+y_(1))^(2)`
( c ) `(y-xy_(1))^(2)=p^(2) (1+y_(1)^(2))`
(d) None of these

If the differential equation of all straigh lines which are at a fixed distance of 10 units from origin is (y-xy_(1))^(2)=A(1+(y_(1))^(2)) then sqrt(A-19)=

The differential equation of all straight lines which are at a fixed distance of 10 units from the origin is (y-xy_(1))^(2) = A(1+y_(1)^(2)) then A is equal to ________.

If y=(log)_(e)((x)/(a+bx))^(x), then x^(3)y_(2)=(xy_(1)-y)^(2)(b)(1+y)^(2)(c)((y-xy_(1))/(y_(1)))^(2) (d) none of these

If y=(log)_(e)((x)/(a))^(x), thenx ^(3)y_(2)=b)(xy_(1)-y)^(2).(c)((y-xy_(1))/(y_(1)))^(2) (d) none of these

The differential equation of all conics whose centre klies at origin, is given by (a) (3xy_(2)+x^(2)y_(3))(y-xy_(1))=3xy_(2)(y-xy_(1)-x^(2)y_(2)) (b) (3xy_(1)+x^(2)y_(2))(y_(1)-xy_(3))=3xy_(1)(y-xy_(2)-x^(2)y_(3)) ( c ) (3xy_(2)+x^(2)y_(3))(y_(1)-xy)=3xy_(1)(y-xy_(1)-x^(2)y_(2)) (d) None of these

If "P" is the distance from the origin to (x)/(a)+(y)/(b)=1 then (1)/(a^(2))+(1)/(b^(2))

If y=(sin^(-1)x)^(2), then (1-x^(2))y_(2) is equal to xy_(1)+2(b)xy_(1)-2(c)xy_(1)+2(d) none of these

Form differential equation for (x-a)^(2)+y^(2)=a^(2) A) (x+yy_(1))^(2)=y^(2) B) (xy_(1)+y)^(2)=y^(2) C) y^(2)=x^(2)+2xyy_(1) D) x^(2)=y^(2)+2xyy_(1)

Form differential equation for x^(2)+(y-a)^(2)=a^(2) A) y^(2)=x^(2)+2xyy_(1) B) x^(2)=y^(2)+(2xy)/(y_(1)) C) (y_(1))^(2)=y^(2)+2xyy_(1) D) y^(2)y_(1)=x^(2)+2xy