Intercept of a Straight Line
Trending Questions
Q. Slope of a line which cuts intercepts of equal lengths on the axes is
- −1
- 0
- 2
- √3
Q. The area (in sq. units) of the triangle formed by the coordinate axes and the line x(tanθ)+y(cotθ)=4 where θ∈(0, π2), is
Q. Let the line xa+yb=1 where ab>0, passes through P(α, β), where αβ>0. If the area formed by the line and the coordinate axes is S, then the least value of S is
- αβ
- 4αβ
- 2αβ
- αβ2
Q. If a, c, b are in G.P. and the area formed by the coordinate axes and the line ax+by+c=0 is A sq. units, then the value of 4A is
Q. A straight line through origin O meets the lines 3y=10−4x and 8x+6y+5=0 at points A and B respectively. Then O divides the segment AB in the ratio:
- 4:1
- 3:4
- 2:3
- 1:2
Q. The equation of the straight line which passes through the point P(−4, 3) such that the portion of it between the x-axis and y-axis is divided by the point P in the ratio 1:2 respectively, is
- x6−y9=1
- x9−y6=1
- y9−x6=1
- y9+x6=1
Q.
Find the equation of the straight line passing through the point of intersection of 2x+y−1=0 and x+3y−2=0 and making with the coordinate axes a triangle of area 38 sq. units.
Q.
The equation of the plane which is parallel to y-axis and cuts off intercepts of length 2 and 3 from x-axis and z-axis is