General Form of a Straight Line
Trending Questions
Q. Let A be the set of all points (α, β) such that the area of triangle formed by the points (5, 6), (3, 2) and (α, β) is 12 square units. Then the least possible length of a line segment joining the origin to a point in A, is
- 8√5
- 16√5
- 4√5
- 12√5
Q. If the coordinates of the points A and B be (3, 3) and (7, 6), then the length of the portion of the line AB intercepted between the axes is
- None of these
- 54
- √104
- √133
Q. For specifying a straight line how many geometrical parameters should be known
- 1
- 2
- 4
- 3
Q. Equation of the hour hand at 4 O’ clock is
- x−√3y=0
- √3x−y=0
- x+√3y=0
- √3x+y=0
Q. For a>b>c>0, the distance between (1, 1) and the point of intersection of the lines ax+by+c=0 and bx+ay+c=0 is less then 2√2. Then
- a+b−c>0
- a−b+c<0
- a−b+c>0
- a+b−c<0
Q. Let a, b, c be real numbers with a2+b2+c2=1 Show that the equation ∣∣
∣∣ax−by−cbx+aycx+abx+ay−ax+by−ccy+bcx+acy+b−ax−by+c∣∣
∣∣ = 0
represents a straight line.
represents a straight line.
Q.
For a>b>c>0, the distance between (1, 1) and the point of intersection of the lines ax+by+c=0 and bx+ay+c=0 is less than 2√2. Then,
a+b−c>0
a−b+c<0
a−b+c>0
a+b−c<0
Q. If the equation of the locus of a point equidistant from the points (a1, b1) and (a2, b2) is (a1−a2)x+(b1−b2)y+c=0
then the value of c is
then the value of c is
- √a21+b22−a22−b22
- 12(a22+b22−a21−b21)
- a21+a22+b21−b22
- 12(a21+a22−b21−b22)
Q. If a, b, and c are in AP, then the straight line ax+by+c=0 will always pass through a fixed point whose coordinates are___
- (2, 1)
- (1, 2)
- (1, -2)
- (-1, 2)
Q. The straight lines x + y = 0, 3x + y- 4 = 0 and x + 3y - 4 = 0 form a triangle which is
- equilateral
- isosceles
- Right-angled
- None of these