Slope of a Line
Trending Questions
Q.
Which of the following statement is / are correct for equation 2x - 3y + 5 = 0
1. Slope of the straight line is 23
2. x-intercept of the straight line is −52
3. y-intercept of the straight line is 53
only 1 & 2
only 2&3
only 3&1
All 1, 2 & 3
Q.
If the line
(3x+14y+7)+k(5x+7y+6)=0
is parallel to the y-axis, then the value of k is
1/3
−3/5
−2
2
Q. The line (3x−y+5)+λ(2x−3y−4)=0 will be parallel to y-axis, if λ =
- 13
- −13
- 32
- −32
Q. A square with each side equal to a lies above the x-axis and has one vertex at the origin. One of the sides passing through the origin makes an angle α(0<α<π4) with the positive direction of the x-axis. Equation of a diagonal of the square is
y(cos α−sin α)=x(sin α+cos α)
y(sin α+cos α)+x(cos α−sin α)=a
x(cos α−sin α)=y(cos α+sin α)
x(cos α−sin α)−y(cos α+sin α)=a
Q.
Two sides of a rhombus are along the lines x-y+1=0 and 7x-y-5=0. If its diagonals intersect at (-1, -2), then which one of the following is a vertex of this rhombus?
(−3, −9)
(−3, −8)
(13, −83)
(−103, −73)
Q. If θ1 and θ2 be the angles which the lines (x2+y2)(cos2 θ sin2 α+sin2θ)=(x tan α−y sin θ)2 make with the axis of x, then if θ=π6, tan θ1+tan θ2 is equal to
- (−83)sin2 α
- (−83)cosec 2α
- −8√3 cosec 2α
- −4 cosec 2α
Q. The slope of the line formed by joining the points A(1, 3) and B(4, 7) is .
- 43
- −43
- 34
- −34