Let C be the curve(s) given by (`ax^2 + by^2+c) (ay^2-bx) = 0`; `a,b,cin R-{0}` and `a in b`. Then C represents (A) a parabola only if a, b and c are of the same sign. (B) a circle and a parabola if a and b are of the same sign and c is of opposite sign. (C) an ellipse and a parabola if a and b are of the same sign and c is of opposite sign. (D) a hyperbola and a parabola if `ab lt 0`

If a/bge c/d , then show that: (i) a dge bc if b .and d are of same sign. (ii) a dle b c if b and d are öf opposite 'sign.

Let aa n db be nonzero real numbers. Then the equation (a x^2+b y^2+c)(x^2-5x y+6y^2)=0 represents. (a)four straight lines, when c=0 and a , b are of the same sign. (b)two straight lines and a circle, when a=b and c is of sign opposite to that a (c)two straight lines and a hyperbola, when aa n db are of the same sign and c is of sign opposite to that of a (d)a circle and an ellipse, when aa n db are of the same sign and c is of sign opposite to that of a

Let a and b be nonzero real numbers. Then the equation (a x^2+b y^2+c)(x^2-5x y+6y^2)=0 represents. four straight lines, when c=0 and a , b are of the same sign. two straight lines and a circle, when a=b and c is of sign opposite to that a two straight lines and a hyperbola, when aa n db are of the same sign and c is of sign opposite to that of a a circle and an ellipse, when a and b are of the same sign and c is of sign opposite to that of a

Let aa n db be nonzero real numbers. Then the equation (a x^2+b y^2+c)(x^2-5x y+6y^2)=0 represents. four straight lines, when c=0 and a , b are of the same sign. two straight lines and a circle, when a=b and c is of sign opposite to that a two straight lines and a hyperbola, when aa n db are of the same sign and c is of sign opposite to that of a a circle and an ellipse, when aa n db are of the same sign and c is of sign opposite to that of a

Let aa n db be nonzero real numbers. Then the equation (a x^2+b y^2+c)(x^2-5x y+6y^2)=0 represents. four straight lines, when c=0 and a , b are of the same sign. two straight lines and a circle, when a=b and c is of sign opposite to that a two straight lines and a hyperbola, when aa n db are of the same sign and c is of sign opposite to that of a a circle and an ellipse, when aa n db are of the same sign and c is of sign opposite to that of a

If (a)/(b)ge(c)/(d) , then adlebc if b and d are of the same sign. Is it true?

If the line ax +by+c=0 is normal to the xy +5=0, then a and b have (a) same sign ( c) cannot be discussed (b) opposite sign (d) None of th

If roots of ax^2+bx+c=0 are equal in magnitude but opposite in sign, then

IF the roots of ax^2+bx +c=0 are equal in magnitude but opposite in sign then

If the line ax+by+c=0 is a normal to the curve xy=1 at the point (1,1), then prove that a and b are of opposite signs.