Question

The equation  represents a The Pair of Straight Lines passing through the origin. The two lines are

Solution

Correct option is

Real and distinct if h2 > 9

The equation ax2 + 2hxy + by2 = 0 represents a pair of real and distinct lines if h2 > ab. The given equation will represent a pair of real and distinct lines if h2 > 9.        [∵ a = 3, b = 3]

SIMILAR QUESTIONS

Q1

If the equation  represents two straight lines, then the product from the origin on these straight lines, is

Q2

If  represents two parallel straight lines, then

Q3

If  represents two parallel lines, then the distance between them is

Q4

The equation of pair of lines joining origin to the points of intersection ofx2 + y2 = 9 and y =3, is

Q5

The tangent to the angle between the lines joining the origin to the points of intersection of the line y = 3x + 2 and the curve x2 + 2xy + 3y2 + 4x + 8y – 11 = 0, is

Q6

The angle between the lines joining the origin to the point of intersection of the line  and the circle x2 + y2 = 4, is 

Q7

The straight lines joining the origin to the points of intersection of the linekx + hy = 2hk with the curve (x – h)2 + (y – k)2 = c2 are at right angles, if

Q8

If the lines joining the origin to the points of intersection of the line y = mx+ 2 and the curve x2 + y2 = 1 are at right-angles, then

Q9

The equation  represents a The Pair of Straight Lines, if

Q10

If the pairs of straight lines ax2 + 2hxy – ay2 = 0 and bx2 + 2gxy – by2 = 0 be such that each bisects the angles between the other, then