Home
Class 12
MATHS
Let aa n db be nonzero real numbers. The...

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`

Promotional Banner

Similar Questions

Explore conceptually related problems

The equation x^2y^2-9y^2-6x^2y+54 y=0 represents (a) a pair of straight lines and a circle (b) a pair of straight lines and a parabola (c) a set of four straight lines forming a square (d) none of these

The equation sqrt(x^2 + 4y^2 - 4xy+4) +x-2y=1 represent a (A) straight line (B) circle (C) parabola (D) pair of lines

The equation x^2y^2-9y^2-6x^2y+54 y=0 represents (a)a pair of straight lines and a circle (b)a pair of straight lines and a parabola (c)a set of four straight lines forming a square (d)none of these

The equation x^2+y^2+2x-4y+5=0 represents a. a point b. a pair of straight lines c. a circle of non zero radius d. none of these

Let a ,\ b ,\ c be parameters. Then the equation a x+b y+c=0 will represent a family of straight lines passikng through a fixed point iff there exists a linear relation between a , b ,\ a n d\ c dot

Statement-1: If a, b are non-zero real number such that a+b=2 , then ax^(2)+2xy+by^(2)+2ax+2by=0 represents a pair of straight lines. Statement-2: If a, b are of opposite signs, then ax^(2)+2xt+by^(2)=0 represents a pair of distinct lines passing through the origin.

x^2-x y+y^2-4x-4y+16=0 represents a. a point b. a circle c. a pair of straight line d. none of these

x^2-x y+y^2-4x-4y+16=0 represents a. a point b. a circle c. a pair of straight line d. none of these

The equation a^2x^2+2h(a+b)x y+b^2y^2=0 and a x^2+2h x y+b y^2=0 represent two pairs of perpendicular straight lines two pairs of parallel straight lines two pairs of straight lines which are equally inclined to each other none of these

The equation x^3+x^2y-x y^2 =y^3 represents (a)three real straight lines (b)lines in which two of them are perpendicular to each other (c)lines in which two of them are coincident (d)none of these