Advertisements
Advertisements
Question
The angle between the pair of straight lines x2 – 7xy + 4y2 = 0 is:
Options
`tan^-1 (1/3)`
`tan^-1 (1/2)`
`tan^-1 (sqrt33/5)`
`tan^-1 (5/sqrt33)`
Solution
`tan^-1 (sqrt33/5)`
APPEARS IN
RELATED QUESTIONS
Find the angle between the pair of straight lines 3x2 – 5xy – 2y2 + 17x + y + 10 = 0.
If m1 and m2 are the slopes of the pair of lines given by ax2 + 2hxy + by2 = 0, then the value of m1 + m2 is:
Show that the equation 2x2 − xy − 3y2 − 6x + 19y − 20 = 0 represents a pair of intersecting lines. Show further that the angle between them is tan−1(5)
Find the separate equation of the following pair of straight lines
3x2 + 2xy – y2 = 0
Find the separate equation of the following pair of straight lines
2x2 – xy – 3y2 – 6x + 19y – 20 = 0
A ∆OPQ is formed by the pair of straight lines x2 – 4xy + y2 = 0 and the line PQ. The equation of PQ is x + y – 2 = 0, Find the equation of the median of the triangle ∆ OPQ drawn from the origin O
Find p and q, if the following equation represents a pair of perpendicular lines
6x2 + 5xy – py2 + 7x + qy – 5 = 0
Choose the correct alternative:
The image of the point (2, 3) in the line y = −x is
If `"z"^2/(("z" - 1))` is always real, then z, can lie on ______.
The pair of lines represented by 3ax2 + 5xy + (a2 – 2)y2 = 0 are perpendicular to each other for ______.
